５．SuperKEKB 超伝導電磁石システム

高エネルギー加速器研究機構
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目

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SuperKEKB 超伝導電磁石システム
１

SuperKEKB ビーム最終集束用超伝導電磁石システムの概要と機能 ………………………………… ５−１

２ 加速器用電磁石磁場について（特に超伝導電磁石）……………………………………………………… ５−１
２．１ 加速器用電磁石内での磁場とその形状 …………………………………………………………… ５−１
２．２ 線電流が作る磁場 …………………………………………………………………………………… ５−３
２．３ 加速器用電磁石磁場を作るには？ ………………………………………………………………… ５−３
２．４ 加速器用電磁石磁場の Normal 成分と Skew 成分 ……………………………………………… ５−４
２．５ 実際の加速器用超伝導電磁石では？ ……………………………………………………………… ５−５
３SuperKEKB 超伝導電磁石システムの構成 ……………………………………………………………… ５−６４ 超伝導電磁石の設計………………………………………………………………………………………… ５−９
４．１ 超伝導電磁石設計の制約条件 ……………………………………………………………………… ５−９
４．２ ビーム最終集束システムの磁場設計 ……………………………………………………………… ５−10
５ ビーム最終集束超伝導 4 極電磁石 ……………………………………………………………………… ５−10
５．１ ビーム最終集束 4 極電磁石 ………………………………………………………………………… ５−10
５．２ 超伝導4 極電磁石の磁場測定と測定結果 ………………………………………………………… ５−16６ 超伝導補正電磁石 ………………………………………………………………………………………… ５−24
６．１ 超伝導補正電磁石の設計 …………………………………………………………………………… ５−24
６．２ 超伝導補正電磁石の製作 …………………………………………………………………………… ５−25
６．３ 超伝導補正電磁石の磁場測定結果 ………………………………………………………………… ５−25
７ 超伝導補正ソレノイド …………………………………………………………………………………… ５−27
７．１ 超伝導補正ソレノイドの設計 ……………………………………………………………………… ５−27
７．２ 超伝導補償ソレノイドの製作 ……………………………………………………………………… ５−28
７．３ ビームラインでの励磁試験とソレノイド磁場測定 ……………………………………………… ５−29
８ マグネットクライオスタットと冷却システム ………………………………………………………… ５−30
８．１ クライオスタットのシステム設計 ………………………………………………………………… ５−30
８．２ クライオスタットの機械設計 ……………………………………………………………………… ５−32
８．３ クライオスタットの熱設計と冷却システム ……………………………………………………… ５−33
９

まとめ ……………………………………………………………………………………………………… ５−34

謝辞 ……………………………………………………………………………………………………………… ５−34
参考文献…………………………………………………………………………………………………………… ５−35
添付資料…………………………………………………………………………………………………………… ５−36

6XSHU.(.% ㉸ఏᑟ㟁☢▼ࢩࢫࢸ࣒

20 ศࡢ 1 ࡜ࡋࠊࡲࡓࣅ࣮࣒㟁ὶ್ࢆ 2 ಸ࡟ࡍࡿࡇ
࡜ࢆタィ್࡜ࡋࡓࠋࣅ࣮࣒ࢧ࢖ࢬࢆ 20 ศࡢ 1 ࡟ࡍࡿࡇ࡜࡟ࡼࡾ⾪✺Ⅼ࡛ࡢ㝧㟁Ꮚ࡜㟁Ꮚࡢᐦᗘ 6XSHU.(.% ࣅ࣮࣒᭱⤊㞟᮰⏝㉸ఏᑟ㟁☢▼ࢩࢫࢸ࣒ࡢᴫせ࡜ᶵ⬟ࢆୖࡆ⾪✺ࡢ㢖ᗘࢆ㧗ࡵࡼ࠺࡜ࡍࡿࡶࡢ࡛ࠊࣅ࣮
࣒ࢧ࢖ࢬࡣࠊᆶ┤᪉ྥ࡟㹼50 nmࠊỈᖹ᪉ྥ࡟㹼1

SuperKEKB[1,2]ࣉࣟࢪ࢙ࢡࢺࡣࠊ㝧㟁Ꮚ࡜㟁Ꮚࢆ⾪✺ࡉࡏ࡚⏕ᡂࡉࢀࡿ B ୰㛫Ꮚ➼ࢆྵࡴ཯ᛂᐇ

Pm ࡜࡞ࡿࠋᘧ㸦1㸧࡟ຍ㏿ჾ࣑ࣝࣀࢩࢸ࢖࣮ࡢᐃ
⩏ᘧࢆ♧ࡋࡓࠋ

㦂ࢆヲ⣽࡟◊✲ࡍࡿࡇ࡜࡟ࡼࡾࠊ௒ࡲ࡛࡟ほ ࡉࢀ࡚࠸࡞࠿ࡗࡓ≀⌮⌧㇟ࢆⓎぢࡍࡿࡇ࡜ࢆ┠ⓗL~࡜ࡋ࡚࠸ࡿࠋSuperKEKB ࡣ୺࡟ࠊ㝧㟁Ꮚ⏝࡜㟁Ꮚ⏝ࡢ஧ࡘࡢࣜࣥࢢᆺຍ㏿ჾ 㸦LER/HER㸧࡜ࠊࣜࣥࢢ࡟㝧㟁Ꮚ࣭㟁Ꮚࢆ౪⤥ࡍࡿ┤⥺ᆺຍ㏿ჾ㸦ධᑕჾ㸧ࠊLER/HER ࡜ධᑕჾࢆ᥋⥆ࡍࡿࣅ࣮࣒㍺㏦
ࣛ࢖ࣥ࠿ࡽᵓᡂࡉࢀ࡚࠸ࡿࠋᆅୗ 11m ࡟᥀ࡽࢀࡓ
୍࿘⣙ 3km ࡢࢺࣥࢿࣝࡢ୰࡟ࡣࠊ஧ࡘࡢࣜࣥࢢࡀ
୪ࢇ࡛㓄⨨ࡉࢀࠊࡑࢀࡒࢀࡢࣜࣥࢢࡢ୰ࢆ㝧㟁Ꮚࣅ࣮࣒㸦࢚ࢿࣝࢠ࣮40 ൨㟁Ꮚ࣎ࣝࢺ㸧࡜㟁Ꮚࣅ࣮࣒㸦70 ൨㟁Ꮚ࣎ࣝࢺ㸧ࡀග㏿࡟㏆࠸ࢫࣆ࣮ࢻ࡛㏫
᪉ྥ࡟࿘ᅇࡍࡿࠋ஧ࡘࡢࣅ࣮࣒ࡣࠊຍ㏿ჾࣜࣥࢢࡢ୍Ⅼ࡛⾪✺ࡍࡿࡼ࠺࡟タィࡉࢀ࡚࠾ࡾࠊ⾪✺Ⅼ࡟タ⨨ࡉࢀࡓ Belle IIᐃჾࡀ⾪✺࡟ࡼࡗ࡚࠾ࡇ

ࡿ⣲⢏Ꮚ཯ᛂࢆ࡜ࡽ࠼ࡿࠋࡇࡢຍ㏿ჾ඲యᅗࢆᅗ
1 ࡟♧ࡋࡓࠋ

ఊേ
ଶ௘௥೐

ఙ‫כ‬

ோ

ூേ

ఙೣ

ோ೤

‫כ‬
ఉേ೤

ቀͳ ൅ ೤‫ כ‬ቁ ಽ [േ௬

(1) ,

‫כ‬
ᘧ㸦1㸧࡛ᚋ༙࡟࠶ࡿ Irࡀࣅ࣮࣒㟁ὶ್ࠊߚേ௬
ࡀࣅ࣮࣒⾪✺Ⅼ࡛ࡢᆶ┤᪉ྥࡢࣅ࣮࣒ࢧ࢖ࢬࡢࣃࣛ
࣓࣮ࢱࢆ♧ࡋ࡚࠸ࡿࠋ
ࡇࡢࣅ࣮࣒ࢧ࢖ࢬࢆ⤠ࡾ㎸ࡴࡓࡵ࡟㠀ᖖ࡟ᙉ
࠸ 4 ᴟ☢ሙࢆⓎ⏕ࡍࡿ㉸ఏᑟ㟁☢▼ࡀ౑⏝ࡉࢀࡿࠋࡲࡓࠊࡇࡢ㉸ఏᑟ 4 ᴟ㟁☢▼࡟ࡣࣅ࣮࣒㐠㌿
ୖᚲせ࡜ࡉࢀࡿከࡃࡢ㉸ఏᑟ⿵ṇ☢▼ࡀ⤌ࡳ㎸ࡲࢀ࡚࠸ࡿࠋ
ᮏㅮ⩏࡛ࡣࠊࡇࡢࣅ࣮࣒⾪✺Ⅼ࡟ᘓタࡉࢀࡓ㉸ఏᑟ㟁☢▼ࢩࢫࢸ࣒ࠊ㟁☢▼ࠊࢡࣛ࢖࢜ࢫࢱࢵࢺࠊ
෭༷ࢩࢫࢸ࣒࡟ࡘ࠸࡚ゎㄝࡍࡿࠋ[3,4,5]

 ຍ㏿ჾ⏝㟁☢▼☢ሙ࡟ࡘ࠸࡚㸦≉࡟㉸ఏᑟ㟁☢▼㸧ຍ㏿ჾ࡛౑⏝ࡉࢀࡿ㟁☢▼ࡣࠊࣅ࣮࣒ࢆຍ㏿ჾ࡟ἢࡗ࡚⥔ᣢࡍࡿࡓࡵ࡟≉ᐃࡢ☢ሙᙧ≧ࢆᣢࡘࡼ࠺࡟సࡽࢀࡿࠋ≉࡟ࠊ2 ᴟࠊ4 ᴟࠊ6 ᴟ㟁☢▼ࡀࡼࡃ౑⏝ࡉࢀࡿࠋࡇࢀࡽࡢ☢▼ࡢ☢ሙ࡟ࡘ࠸࡚ᮏ
❶࡛ㄝ᫂ࡍࡿࠋ
 ຍ㏿ჾ⏝㟁☢▼ෆ࡛ࡢ☢ሙ࡜ࡑࡢᙧ≧ຍ㏿ჾ㟁☢▼ 2 ᴟࠊ4 ᴟࠊ6 ᴟࡢ☢ሙࡢᙧ≧ࢆ
ᅗ 2 ࡟♧ࡋࡓࠋᅗ 2 ࡟♧ࡋࡓ☢᮰ࡢྥࡁࠊᙧ≧ࡣᖖఏᑟ㟁☢▼ࡢ㕲࣮ࣚࢡ㸦☢Ẽᅇ㊰㸧࡜ࢥ࢖ࣝࢆ
᝿ᐃࡋࡓࠋ2 ᴟ☢ሙ࡛ࡣࠊ☢ᴟ㛫࡛ᖹ⾜࡞☢ሙࢆᅗ 1 SuperKEKB ຍ㏿ჾ඲యᅗSuperKEKB ࡛ࡣࠊࣅ࣮࣒⾪✺Ⅼ࡛ࡢ㝧㟁Ꮚ࡜㟁☢▼ࡣࡘࡃࡿࠋ4 ᴟࠊ6 ᴟ☢▼ࡢ☢▼୰ᚰ࡛ࡣ☢ሙࡣࢮࣟ࡜࡞ࡾࠊ☢ሙ୰ᚰࡀᏑᅾࡍࡿࠋ

Ꮚࡢ⾪✺☜⋡㸦࣑ࣝࣀࢩࢸ࢖࣮㸧ࢆ๓ຍ㏿ჾ KEKB

ᅗ 3 ࡟♧ࡍࡼ࠺࡟ 2 ᴟ☢ሙࡢෆ㒊࡛ࡣ㐍⾜ࡍࡿࡢ᭱㧗グ㘓 2.11034 cm-2s-1 ࡢ 40 ಸࡲ࡛㧗ࡵࡿࡇ㟁Ꮚ㸦H㸧ࡣ☢ሙ㸦 㸧࠿ࡽ Lorentz㸦 㸧ຊࢆཷ࡜ࢆ┠ᶆ࡜ࡋ࡚࠸ࡿࠋຍ㏿ჾࡢᇶᮏタィ࡜ࡋ࡚ࠊࡅࠊ㐍⾜᪉ྥࢆ᭤ࡆࡽࢀࡿࠋ ࡣ௨ୗࡢᘧ࡛♧ࡉ⾪✺Ⅼ࡛ࡢᆶ┤᪉ྥࡢࣅ࣮࣒ࢧ࢖ࢬࢆ KEKB ࡢ

ࢀࡿࠋ

㸳㸫 1

ᅗ 2 ⣲⢏Ꮚຍ㏿ჾ࡛⏝࠸ࡽࢀࡿ㟁☢▼ࡢ☢ሙᙧ≧ࠋ㸦2 ᴟ☢▼㸸Normal dipoleࠊSkew dipoleࠊ4 ᴟ☢ሙ㸸Normal quadrupoleࠊSkew quadrupoleࠊ6 ᴟ☢
ሙ㸸Normal sextupoleࠊSkew sextupole㸧ᅗ 4 ຍ㏿ჾ⏝㟁☢▼ࠋୖ࠿ࡽ Normal 2 ᴟࠊ
Normal 4 ᴟࠊNormal 6 ᴟ㟁☢▼ࠋຍ㏿ჾ࡛ᚲせ࡜ࡉࢀࡿ☢ሙࡢ⢭ᗘ࡜ࡋ࡚ࠊࡇࢀ
ࡽࡢ☢▼ࡀⓎ⏕ࡍࡿ☢ሙࡢ୺ᡂศ࡟ᑐࡋ࡚࢚ࣛ
࣮ᡂศࢆ 0.01%㸦110-4 ᡈ࠸ࡣ 1 units㸧⛬ᗘ࡟ไ
ᅗ 3 2 ᴟ☢ሙࠊ4 ᴟ☢ሙෆࢆ㏻㐣ࡍࡿ㟁Ꮚ࡟స⏝ࡍࡿຊࠋ㟁Ꮚࡣࠊ⣬㠃ࡢ⾲࠿ࡽ⿬࡟ྥ࠿ࡗ࡚㐍ࡴࠋྛ☢▼ෆࡢ☢ሙࡢྥࡁࡣࠊⅬ⥺࡛♧ࡉࢀࡓ▮༳࡛♧ࡉࢀ࡚࠸ࡿࠋ
q㸦㟁Ⲵ㸧࣭ 㸦㏿ᗘ㸧 㸦☢ሙ㸧㸦2㸧

ࡲࡓࠊ4 ᴟ☢ሙෆ࡛ࡣᆶ┤ᡈ࠸ࡣỈᖹ᪉ྥ࡟཰᮰ᡈ࠸ࡣⓎᩓࡢຊࢆཷࡅࡿࠋ
ᅗ 2 ࡛♧ࡋࡓ☢ሙࢆసࡿຍ㏿ჾ⏝ᖖఏᑟ㟁☢▼ࢆ
ᅗ 4 ࡟♧ࡋࡓࠋୖ࠿ࡽࠊ2 ᴟࠊ4 ᴟࠊ6 ᴟ㟁☢▼࡛࠶ࡿࠋᚚࡋࡼ࠺࡜ࡍࡿሙྜࠊ☢ᴟࡢຍᕤ⢭ᗘࠊ⤌❧⢭ᗘࠊ☢ᛶయᮦᩱ㸦㕲㸧ࡢᆒ୍ᛶࡶྠࣞ࣋ࣝ࡟ไᚚࡍࡿᚲせࡀ࠶ࡿࠋ㉸ఏᑟ㟁☢▼ࡢሙྜࡣࠊࢣ࣮ࣈࣝ࡟
኱ࡁ࡞㟁ὶࢆὶࡍࡇ࡜ࡀྍ⬟࡜࡞ࡾࠊ☢ᴟ㒊࡟࠶ࡓࡿ㒊ศ࡛ࡣ㕲ࡢ㣬࿴☢ሙࢆ㉸࠼ࡿ☢▼ࡢタィࡀ⾜ࢃࢀࡿࡇ࡜࠿ࡽࠊ☢ሙࡣ㉸ఏᑟࢣ࣮ࣈࣝࢆὶ
ࢀࡿ㟁ὶ࡛సࡿࡇ࡜࡟࡞ࡿࠋ㧗࠸☢ሙᛶ⬟ࢆᣢࡘ㉸ఏᑟ㟁☢▼ࢆసࡿࡓࡵ࡟ࡣࠊ㉸ఏᑟ㟁☢▼ෆࡢࢣ࣮ࣈࣝࡢ఩⨨タィ࣭㓄⨨⢭ᗘࡀ㔜せ࡞ㄢ㢟࡜࡞
ࡿࠋ

㸳㸫 2

 ⥺㟁ὶࡀసࡿ☢ሙ

௔

௔

௥

௥

R2 = r2 ቀͳ െ ݁ ௜ሺ‫ି׎‬ఏሻ ቁ ቀͳ െ ݁ ି௜ሺ‫ି׎‬ఏሻ ቁ ,㉸ఏᑟ㟁☢▼࡛ࡣ㉸ఏᑟࢣ࣮ࣈࣝࢆὶࢀࡿ㟁Az (r, T  íὶࡀ୺࡟☢ሙࢆసࡿࠋࡑࡇ࡛ඛࡎᇶᮏⓗ࡞஦㡯࡜ࡋ࡚ࠊ1 ᮏࡢ⥺㟁ὶࡢసࡿ☢ሙ࡟ࡘ࠸࡚ㄝ᫂ࡋࠊ

ߠሻ൯

ఓబ ூ
ଶగ

ఓబ ூ

௥

ln +

ͳ

ܽ ݊

σλ ቀ ቁ ൫݊ሺ‫ ׎‬െଶగ ݊ൌͳ ݊ ‫ݎ‬௔(5)   .

ࡑࡢᚋࠊຍ㏿ჾ☢ሙ࡟ࡘ࠸࡚ゎㄝࢆ㐍ࡵࡓ࠸ࠋ[6]ᘧ(4)ࠊ(5)ࡣ Z ㍈࡟ᖹ⾜࡞⥺㟁ὶࡀసࡿ Az ࡢከᅗ 5 ࡟ࠊ✵㛫࡟㓄⨨ࡉࢀࡓ⥺㟁ὶࡢᗙᶆ⣔࡜☢

ᴟᒎ㛤࡜࡞ࡿࠋࡇࡢ⤖ᯝ࠿ࡽࠊBTࠊBrࠊBz ᡂศࡣሙࡢᐃ⩏ࢆ♧ࡋࡓࠋ௨ୗࡢࡼ࠺࡟⾲ࡉࢀࡿࠋr < a ࡢሙྜࠊడ஺೥BT = í
Br =

=í
డ௥

ఓబ ூ

ଶగ௔

ଵ డ஺೥

ఓబ ூ

௥

ଶగ௔

=
డT

‫݊ ݎ‬െͳ

σλ݊ൌͳ ቀ ቁܽ‫݊ ݎ‬െͳ

σλ݊ൌͳ ቀ ቁܽ൫݊ሺ‫ ׎‬െ ߠሻ൯ ൫݊ሺ‫ ׎‬െ ߠሻ൯ ,

Bz = 0  .
ᅗ 5 ࣅ࣮࣒㍈ࢆ Z ㍈࡜ࡋࡓ㸦r, T, z㸧෇⟄ᗙᶆ⣔(a)࡜⥺㟁ὶࣔࢹࣝ(b)ࠋ

r > a ࡢሙྜࠊᅗ 5-b ࡟♧ࡋࡓ⥺㟁ὶࡢసࡿ࣋ࢡࢺ࣏ࣝࢸࣥࢩBT =ࣕࣝ Az ࡣࠊᘧ 3 ࡛♧ࡉࢀࡿࠋఓబ ூ

Az (r, T) = í

ଶగ

ோ

Br =

(3) ,

 lnቀ ቁ
௔

ఓబ ூ

ଶ

ଶగ௔

ఓబ ூ

σλ
݊ൌͳ ቀ ቁ

 
S௥

ଶగ௔

σλ
݊ൌͳ ቀ ቁ
‫ݎ‬

ܽ ݊൅ͳ
‫ݎ‬

൫݊ሺ‫ ׎‬െ ߠሻ൯ ൫݊ሺ‫ ׎‬െ ߠሻ൯ ,

Bz = 0  .

ࡇ ࡇ ࡛ ࠊ R= ඥܽଶ ൅  ‫ ݎ‬ଶ െ ʹܽ‫ ݎ‬ሺI െ Tሻ ࡣ ఩ ⨨P=(r, T)࡜⥺㟁ὶ㛫ࡢ㊥㞳ࢆ♧ࡋ࡚࠸ࡿࠋ

ܽ ݊൅ͳ

ఓబ ூ

 ຍ㏿ჾ⏝㟁☢▼☢ሙࢆసࡿ࡟ࡣ㸽ோ

r < a ࡢሙྜࠊlnቀ ቁࡣ௨ୗࡢࡼ࠺࡟ኚ᥮࡛ࡁࡿࠋ
௔

2

௥

2

R = a ቀͳ െ ݁௔๓⠇࡛♧ࡋࡓࡼ࠺࡟⥺㟁ὶࡣ඲࡚ࡢ 2n ᴟ☢ሙ௜ሺ‫ି׎‬ఏሻ

ோ

ଵ

௥

௔

ଶ

௔

lnቀ ቁ= lnቀͳ െ ݁௥ቁ ቀͳ െ ௔ ݁௜ሺ‫ି׎‬ఏሻି௜ሺ‫ି׎‬ఏሻቁࢆⓎ⏕ࡍࡿࠋࡑࡇ࡛ࠊ༙ᚄ a ࡢ෇⟄ୖ࡟㓄⨨ࡉࢀ,ࡓ⥺㟁ὶࡢసࡿ☢ሙ࡟ࡘ࠸࡚⪃࠼ࡿࠋ௬࡟⥺㟁ὶଵ௥ቁ+ଶ lnቀͳ െ ௔ ݁ି௜ሺ‫ି׎‬ఏሻࡀ෇⟄ࡢ࿘᪉ྥ࡟౫Ꮡࡋࡓ㟁ὶᐦᗘࢆᣢࡘ࡜ࡍቁ .

ࡿࠋࡑࡢ㟁ὶࡣࠊᘧ㸦6㸧࡛୚࠼ࡽࢀࡿ࡜ࡍࡿࠋ

௵ពࡢ」⣲ᩘ[㸦|[|<1㸧࡟ᑐࡋ࡚ࠊ
ଵଵ

I(I) = I0 cos (mI)        㸦6㸧 .

ଵlnሺͳ െ [ሻ= í[ íଶ [ଶ  íଷ [ଷ  í«í௡ [௡   ࡇࡢ㟁ὶศᕸࢆᅗ 6 ࡟♧ࡋࡓࠋᘧ㸦6㸧࡛♧ࡋࡓ࡜࡞ࡾ r < a ࡢ✵㛫࡟࠾࠸࡚ Az (r, T)ࡣḟࡢᘧ࡛♧㟁ὶศࡢసࡿ r < a ࡢ✵㛫࡛ࡢ࣋ࢡࢺ࣏ࣝࢸࣥࢩ

ࡉࢀࡿࠋࣕࣝࡣḟᘧࡢࡼ࠺࡟ኚ᥮࡛ࡁࡿࠋఓబ ூ

Az (r, T)= í

ͳ

‫݊ ݎ‬

σλ ቀ ቁ ൫݊ሺ‫ ׎‬െ ߠሻ൯ (4) .
ଶగ ݊ൌͳ ݊ ܽ

Az (r, T)= íߠሻ൯dIr > a ࡢ✵㛫࡛ࡣࠊ
ࡇࡇ࡛ࠊ

㸳㸫 3

ఓబ ூ
ଶగ

ͳ

‫݊ ݎ‬

݊

ܽ

ʹߨ

σλ
݊ൌͳ ቀ ቁ ‫Ͳ׬‬ሺ݉‫׎‬ሻ ൫݊ሺ‫ ׎‬െ㸦7㸧 ,ᅗ 6 ࡟♧ࡋࡓ㟁ὶศᕸࢆᘧ 8.2 ࡜ 8.3 ࡟௦ධࡋ൫݊ሺ‫ ׎‬െ ߠሻ൯= ሺ݊‫׎‬ሻ ሺ݊ߠሻ ൅ ሺ݊‫׎‬ሻ  ݊ߠࠊ
ଶS

‫׬‬଴

ଶగ

‫׬‬଴

ሺ݉‫׎‬ሻ ሺ݊‫׎‬ሻ݀‫ ׎‬ൌ ߨߜ௠ǡ௡࡚ BxࠊBy ᡂศࢆồࡵࡿࠋ,m = 1㸦I = I0 cos I㸧ࡢሙྜࠊ
Bx = Br cos T í BT sin T = 0 ,ሺ݉‫׎‬ሻ ሺ݊‫׎‬ሻ ݀‫ ׎‬ൌ Ͳ ࡜࡞ࡿࡇ࡜࠿ࡽࠊ

Az (r, T)=ఓబ ூబ ͳ

‫݉ ݎ‬

ߤ ‫ܫ‬

௥ ௠ିଵ

ቀቁ
ଶ ݉ ܽ

ሺ݉ߠሻͲ ͲBT (r, T)= í ʹܽቀ௔ቁBr (r, T)= íఓబ ூబ ‫݉ ݎ‬െͳଶ௔ቀܽቁ

By = Br sin T + Bșr cos T = -(8.1) ,ఓబ ூబଶ௔= constant ,࡜࡞ࡾᆶ┤᪉ྥ࡟୍ᐃࡢ☢ሙ㸦2 ᴟ☢ሙ㸧࡜࡞ሺ݉ߠሻ

(8.2) ,ࡿࠋỈᖹᡂศࡣࢮࣟ࡜࡞ࡿࡓࡵࠊ࢚࣮ࣛᡂศࡢ
࡞࠸ Normal 2 ᴟ☢ሙ࡜࡞ࡿࠋ

ሺ݉ߠሻ   (8.3)  

m = 2㸦I = I0 cos 2I㸧ࡶྠᵝ࡟ィ⟬ࡍࡿ࡜ࠊ
Bx = Br cos T í BT sin T = ݃‫ ݎ‬ሺʹߠሻ  ߠ í ݃‫ ݎ‬ሺʹߠሻ  ߠ= ݃‫ ݕ݃ = ߠ  ݎ‬,By = Br sin T + Bșr cos T= ݃‫ ݎ‬ሺʹߠሻ  ߠ  ݃‫ ݎ‬ሺʹߠሻ  ߠ= ݃‫ݔ݃ = ߠ  ݎ‬,ఓ ூࡇࡇ࡛݃ ൌ െ బ మబ ࡜࡞ࡾࠊࡇࡢ㟁ὶศᕸࡀసࡿ
ଶ௔☢ሙࡶ࢚࣮ࣛᡂศࡢ↓࠸ 4 ᴟ☢ሙ࡜࡞ࡿࠋ
᭱ᚋ࡟ m = 3㸦I = I0 cos 3I㸧ࡢሙྜࠊ
Bx =

ଵ

=

ଵ

ଶ
ଶ

݃ᇱ ‫ ݎ‬ଶ ሺ ͵ߠ  ߠ െ  ͵ߠ  ߠሻ݃ᇱ ‫ ݎ‬ଶ ʹ  ߠ  ߠ = ݃ᇱ ‫ ݕݔ‬,ଵ

By = ଶ ݃ᇱ ‫ ݎ‬ଶ ሺ ͵ߠ  ߠ ൅  ͵ߠ  ߠሻ
=

ଵ

=

ଵ

ଶ
ଶ

݃ᇱ ‫ ݎ‬ଶ ሺሺ  ߠሻଶ െ ሺ ߠሻଶ ሻ݃ᇱ ሺ‫ ݔ‬ଶ െ ‫ ݕ‬ଶ ሻ ,ఓ ூࡇࡇ࡛݃ᇱ ൌ െ బయబ ࡜࡞ࡾࠊ࢚࣮ࣛᡂศࡢ↓࠸ 6௔ᴟ☢ሙ࡜࡞ࡿࠋ
 ຍ㏿ჾ⏝㟁☢▼☢ሙࡢ 1RUPDO ᡂศ࡜ 6NHZ
ᡂศ
ᘧ㸦4㸧࡛♧ࡋࡓ r < a ࡛ࡢ࣋ࢡࢺ࣏ࣝࢸࣥࢩ
ࣕࣝ Az ࡢ➨ n 㡯ࡣ 2 ࡘࡢ㡯࡟ᒎ㛤ࡉࢀࡿࠋఓబ ூ 㸯 ‫݊ ݎ‬

Az (r, T)= íᅗ 6 cos mT㟁ὶศᕸ (m=1, 2, 3)ሺ݊‫׎‬ሻ ሺ݊ߠሻሻ

㸳㸫 4

ቀ ቁ ሺ ሺ݊‫׎‬ሻ ሺ݊ߠሻ െଶగ 㹬 ܽ      ൌ ߚ௡ ሺ݊ߠሻ ൅  ߙ௡ ሺ݊ߠሻ  (9) ຍ㏿ჾ⏝㟁☢▼ࡢ☢ሙࢆホ౯ࡍࡿୖ࡛ࠊᘧ
㸦9㸧ࡢEn cos (nT)ࢆ normal ☢ሙᡂศࠊDn sin (nT)ࢆ skew ☢ሙᡂศ࡜࿧ࢇ࡛࠸ࡿࠋ
skew ☢ሙᡂศࡣࠊI(I) = I0 sin (mI)ࡢ㟁ὶศᕸ࡟ࡼࡾసࡽࢀࡿࠋࡇࡢ᫬ࡢ AzࠊBTࠊBr ࡣᘧ㸦10.1, 10.2, 10.3㸧࡜࡞ࡿࠋAz (r, T)=ఓబ ூబ ͳ

‫݉ ݎ‬

ߤ ‫ܫ‬
ʹܽ

௥ ௠ିଵ

ቀ ቁ ሺ݉ߠሻଶ ݉ ܽBT (r, T)= í Ͳ Ͳ ቀ ቁ
Br (r, T)= í௔ሺ݉ߠሻఓబ ூబ ‫݉ ݎ‬െͳଶ௔ቀܽቁ

(10.1) ,(10.2) ,ሺ݉ߠሻ   (10.3)  ᐇ㝿ࡢຍ㏿ჾ⏝㉸ఏᑟ㟁☢▼࡛ࡣ㸽
2.3.࡛ㄝ᫂ࡋࡓࡼ࠺࡟ࠊ෇⟄ୖ࡟
cos(nT)ࡢࡢ
2.3.࡛ㄝ᫂ࡋࡓࡼ࠺࡟ࠊ෇⟄ୖ࡟ II00×
cos(Qș)㟁ὶศᕸࢆసࡿࡇ࡜ࡀ࡛ࡁࡿ࡜ 2n ᴟࡢࡳࡢ☢ሙᴟࡢࡳࡢ☢ሙ
ࢆసࡾฟࡍࡇ࡜ࡣྍ⬟࡛࠶ࡿࠋᐇ㝿ࡢ㟁☢▼࡛ࢆసࡾฟࡍࡇ࡜ࡣྍ⬟࡛࠶ࡿࠋᐇ㝿ࡢ㟁☢▼࡛ࡣࠊࡇࡢࡼ࠺࡞≧ἣࢆసࡾฟࡍࡇ࡜ࡣᴟࡵ࡚㞴ࡣࠊ ࡇࡢࡼ࠺࡞≧ἣࢆసࡾฟࡍࡇ࡜ࡣᴟࡵ࡚㞴ࡋ࠸ࠋᐇ౛ࡢ㟁☢▼ࡢ᩿㠃ᵓ㐀࠿ࡽࠊࡇࡢࡼ࠺
ࡋ࠸ࠋᐇ౛ࡢ㟁☢▼ࡢ᩿㠃ᵓ㐀࠿ࡽࠊࡇࡢࡼ࠺
࡞ሙྜࡢ㟁☢▼ࡀⓎ⏕ࡍࡿ☢ሙ࡟ࡘ࠸࡚⪃࠼࡚࡞ሙྜࡢ㟁☢▼ࡀⓎ⏕ࡍࡿ☢ሙ࡟ࡘ࠸࡚⪃࠼࡚ࡳࡿࠋᐇ㝿ࡢ㟁☢▼ࡢ᩿㠃ᙧ≧࡜ࡋ࡚ࠊḢᕞཎࡳࡿࠋᐇ㝿ࡢ㟁☢▼ࡢ᩿㠃ᙧ≧࡜ࡋ࡚ࠊḢᕞཎᏊ᰾◊✲ᶵᵓ
CERN
ࡢ Large
HadronColliderᏊ᰾◊✲ ᶵᵓ
CERN
ࡢ Large
HadronColliderᅗ 7 LHC 2 ᴟ㉸ఏᑟ㟁☢▼ࢥ࢖᩿ࣝ㠃㸦ୖ㸧࡜㟁☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺ᩿㠃㸦ୗ㸧(LHC)ࡢ
(LHC) ࡢ22 ᴟ㟁☢▼᩿㠃[7]ࢆᅗᴟ㟁☢▼᩿㠃 [7] ࢆᅗ77࡟♧ࡋࡓࠋ㉸ఏ࡟♧ࡋࡓࠋ㉸ఏᑟࢥ࢖ࣝࡣࠊᅗ 77 ࡢୖᅗྑୗ࡟♧ࡋࡓ㛗᪉ᙧ᩿ᑟࢥ࢖ࣝࡣࠊᅗ
ࡢୖᅗྑୗ࡟♧ࡋࡓ㛗᪉ᙧ᩿㠃ᙧ≧ࡢࢣ࣮ࣈ࡛ࣝసࡽࢀࡿࠋ㉸ఏᑟࢣ࣮ࣈࣝ
㠃ᙧ≧ࡢࢣ࣮ࣈ࡛ࣝసࡽࢀࡿࠋ㉸ఏᑟࢣ࣮ࣈࣝ
ࡣࠊRutherford
ࡣࠊRutherfordࢣ࣮ࣈࣝ࡜࿧ࡤࢀ┤ᚄࢣ࣮ࣈࣝ࡜࿧ࡤࢀ┤ᚄ1mm
1mm⛬ᗘ⛬ᗘࡢࢫࢺࣛࣥࢻ⥺࠿ࡽᵓᡂࡉࢀ࡚࠸ࡿࠋᅗᅗ
7 ࡢୗࡢࢫࢺࣛࣥࢻ⥺࠿ࡽᵓᡂࡉࢀ࡚࠸ࡿࠋ
7 ࡢୗᅗ࡟㟁☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺ᩿㠃ࢆ♧ࡋࡓࠋ㉸ᅗ࡟㟁☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺ᩿㠃ࢆ♧ࡋࡓࠋ ㉸ఏᑟ㟁☢▼࡜ࡋ࡚ࡣࠊ2
ྎࡢ 22 ᴟ㟁☢▼ࢆఏᑟ㟁☢▼࡜ࡋ࡚ࡣࠊ2 ྎࡢᴟ㟁☢▼ࢆ 1 ⤌ࡢ⤌ࡢ☢ᛶ࣮ࣚࢡ࡛ໟࢇ࡛࠸ࡿࠋ
☢ᛶ࣮ࣚࢡ࡛ໟࢇ࡛࠸ࡿࠋ
㉸ఏᑟࢥ࢖ࣝ㒊࡟ cos(T)ࡢ㟁ὶศᕸࢆసࡿࡓࡵ
࡟ࠊࢥ࢖ࣝෆࡢ㉸ఏᑟࢣ࣮ࣈࣝࢆ」ᩘࡢࣈࣟࢵࢡ
࡟ศࡅ࡚࠸ࡿࠋ
ᮏ⠇࡛ࡣࠊ༢⣧࡞ࢣ࣮ࣈࣝࣈࣟࢵࢡࢆ⏝࠸࡚ 2
ᴟࠊ4 ᴟ㟁☢▼ࡢⓎ⏕ࡍࡿ☢ሙࢆ⪃࠼࡚ࡳࡓ࠸ࠋ
ඛࡎࠊᅗ 8㸦ᕥᅗ㸧࡟♧ࡍࡼ࠺࡞⌮᝿ⓗ࡞ 2 ᴟ㟁☢▼ࡢ㟁ὶศᕸࢆᶍᨃࡋࡓ 4 ᮏࡢ⥺㟁ὶࡢ㓄⨨ࢆ⪃࠼ࡿࠋゅᗘI࡜íIࡢ఩⨨࡟+IࠊゅᗘS + I࡜SíIࡢ఩⨨࡟íI ࡢ⥺㟁ὶࢆᣢࡘࠋ

ᅗ 8 2 ᴟᑐ⛠ᛶࢆᣢࡘ 4 ᮏࡢ⥺㟁ὶࣔࢹࣝ㸦ᕥᅗ㸧࡜ 2 ᴟࢥ࢖ࣝࣈࣟࢵࢡࣔࢹࣝ㸦ྑᅗ㸧
4 ᮏࡢ⥺㟁ὶࡀసࡿ࣋ࢡࢺ࣏ࣝࢸࣥࢩࣕࣝࡣ௨ୗࡢ୕ゅ㛵ᩘࡢබᘧ࠿ࡽࠊ

㸳㸫 5cos(nI)+cos(ínI)ícos(n(S íI))ícos(n(S  I))
4 cos(nI), n= 1, 3, 5, , ,ᡈ࠸ࡣ 0, n= 2, 4, 6, , ,sin(nI)+sin(ínI)ísin(n(S íI))ísin(n(S  I)) 0
n= 1, 2, 3, 4, , ,ଶఓబ ூ

Az (r, T)= í

గ

ͳ

‫݊ ݎ‬

ࡢ࡛ࠊࡇࡢࡼ࠺࡞༢⣧࡞ࣔࢹ࡛ࣝࡣ☢ሙᛶ⬟࡜ࡋσλሺ݊‫׎‬ሻ  ݊ߠ ݊ ݊ ቀܽቁ

n= 1, 3, 5, , ,࡚ࡣ୙༑ศ࡜࡞ࡿࠋࡇࡢⅭࠊࢥ࢖ࣝࣈࣟࢵࢡࢆศ

(11) .

๭ࡋࠊᅗ 6 ࡛♧ࡋࡓ cos nTࡢ㟁ὶศᕸ࡟㏆࡙ࡅࡿḟ࡟ᅗ 8㸦ྑᅗ㸧࡟♧ࡍ༢⣧࡞ 2 ᴟࢥ࢖ࣝࣈࣟ

タィࢆ⾜࠺ࠋ

ࢵࢡࡢ☢ሙ࡟ࡘ࠸࡚⪃࠼࡚ࡳࡿࠋ

ࡇࢀࡲ࡛ࡢ㆟ㄽ࠿ࡽࠊBT࡜ Br ☢ሙᡂศࡣᘧ㸦15㸧ࢥ࢖ࣝ㒊ࡢ㟁ὶᐦᗘࢆ J ࡜ࡋࠊࢥ࢖ࣝࡢ㛤ࡁ࡛♧ࡉࢀࡿࠋ

ゅᗘࢆIࠊෆ༙ᚄࢆ a1ࠊእ༙ᚄࢆ a2 ࡜ࡍࡿࠋAz

BT (r,T) = ‫ܤ‬௥௘௙ σஶ௡ୀଵ ൬(r, T)ࡣࠊᘧ㸦12㸧࡛♧ࡉࢀࡿࠋ
ଶఓ ௃

ଵ

௥ ௡

௔

‫׎‬

మ
భ
ሺ݊‫׎‬ሻ 
Az (r, T)= í Sబ σஶ௡ ௡ ‫׬‬௔ ቀ௔ቁ ܽ݀ܽ ‫׬‬଴

ோೝ೐೑

൰

ൈ

ሺܾ௡ ሺ݊ߠሻ ൅ܽ௡ ሺ݊ߠሻሻ ,భ݀‫ ׎‬ሺ݊ߠሻ 

Br (r,T) = ‫ܤ‬௥௘௙ σஶ௡ୀଵ ൬

n= 1, 3, 5, , ,      (12)
ࢥ࢖ࣝࡢཌࡳ'a

௡ିଵ

௥

௥
ோೝ೐೑

௡ିଵ

൰

ൈ

ሺെܽ௡ ሺ݊ߠሻ ൅ܾ௡ ሺ݊ߠሻሻ

a2í a1 ࡀࢥ࢖ࣝࣈࣟࢵࢡᖹᆒ

(15) .

༙ᚄ a (a1  a2) /2 ࡼࡾࡶ༑ศᑠࡉ࠸࡜௬ᐃࡋࡓሙ

Rref ࡣࠊ
㟁☢▼ࡢ☢ሙᛶ⬟ࢆホ౯ࡍࡿ᫬ࡢཧ⪃༙ྜࠊ࣋ࢡࢺ࣏ࣝࢸࣥࢩࣕࣝ Az (r, T)ࡣᘧ㸦13㸧࡛♧ᚄ㸦Reference Radius㸧࡜࿧ࡤࢀࡿࡶࡢ࡛ࠊ୍⯡ⓗࡉࢀࡿࠋ࡟ࡣࢥ࢖ࣝෆ༙ᚄࡢ 2/3 ࡢ್ࡀ⏝࠸ࡽࢀࡿࠋBref ࡣଶఓబ ௃௔'௔Az (r, T)=

S

ଵ

௥ ௡

௡

௔

ᇶ‽☢ሙ࡛ࠊ2m ᴟ㟁☢▼ࡢሙྜࠊBref = Bm(Rref)ࡀ

σ௡ మ ቀ ቁ ሺ݊‫׎‬ଵ ሻ ሺ݊ߠሻ 

n= 1, 3, 5, , ,౑⏝ࡉࢀࡿࠋ2 ᴟ㟁☢▼ࡢሙྜࡣ Bref = B1 ࡜࡞ࡾࠊ4 ᴟ㟁☢▼㸦m=2㸧࡛ࡣ Bref = B2(Rref ) =݃ ൈ ܴ௥௘௙ ࡜(13) .

࡞ࡿࠋ݃ࡣ 4 ᴟ㟁☢▼ࡀసࡿ☢ሙ໙㓄
㸦B2(Rref )/ Rref㸧n ḟࡢከᴟ☢ሙᡂศࡢ኱ࡁࡉࡣࠊ

ࢆ♧ࡋ࡚࠸ࡿࠋbn ࡜ an ࡣࠊ2n ᴟ☢ሙᡂศࡢ normalଶଶ  ࡜࡞ࡿࠋ
Bn = ට‫ܤ‬ఏǡ௡ ൅ ‫ܤ‬௥ǡ௡ಀᩘ࡜ skew ಀᩘ࡜࿧ࡤࢀࡿࠋࡇࡢಀᩘࡣࠊ2m ᴟ

T=0 ࡛ࡣࠊBr ᡂศࡣࢮࣟ࡜࡞ࡾ BTᡂศࡢࡳࡀ

࠶ࡿࠋ㉸ఏᑟ㟁☢▼ࡢศ㔝࡛ࡣࠊ10-4 ࣞ࣋ࣝࡢㄗ

㟁☢▼ࡢᇶ‽☢ሙ Bref ࢆ㸯࡜ࡋ࡚ṇつ໬ࡋࡓ್࡛

ṧࡿࠋࡇࡢ᫬ࠊBn ᡂศࡣᘧ㸦14㸧࡜࡞ࡿࠋ
Bn=BT,n(r, T=0) =െ

ଶఓబ ௃
గ

ଵ ௥ ௡ିଵοܽ ቀ ቁ௡ ௔

n= 1, 3, 5, , ,ᕪ☢ሙࢆࡼࡃ㆟ㄽࡍࡿࡢ࡛⾲グ࡜ࡋ࡚ units=1
10-4 ࢆ౑⏝ࡍࡿࠋ൫݊ሺ‫׎‬ଵ ሻ൯

(14)

.

2 ᴟ㟁☢▼࡜ࡋ୍࡚⯡ⓗ࡟⏝࠸ࡽࢀࡿゅᗘI1=

 6XSHU.(.% ㉸ఏᑟ㟁☢▼ࢩࢫࢸ࣒ࡢᵓ
ᡂ60rࢆ㑅ࢇࡔሙྜࠊn = 3 ࡢ 6 ᴟ☢ሙᡂศࡣᘧ㸦14㸧

SuperKEKB ຍ㏿ჾ࡛ࡣࠊ㟁Ꮚ࣭㝧㟁Ꮚࣅ࣮࣒ࡢ

࠿ࡽࢮࣟ࡜࡞ࡿࡇ࡜ࡀศ࠿ࡿࠋ᭱ึ࡟⌧ࢀࡿ㧗ḟ⾪✺┤๓ࡢࣅ࣮࣒ࡢ㞟᮰ࡣࠊྛࣅ࣮࣒ࣛ࢖ࣥࡢࣅ

ࡢ☢ሙᡂศࡣࠊn=5 ࡢ 10 ᴟ☢ሙᡂศ࡜࡞ࡿࠋࡇࡢ

࣮࣒⾪✺Ⅼ㸦Interaction Point: IP㸧๓ᚋ┤㏆࡟タ⨨༢⣧࡞ 2 ᴟ㟁☢▼ࡢࣈࣟࢵࢡࣔࢹ࡛ࣝసࡽࢀࡿ☢

ࡉࢀࡓ஧⤌ࡢ㉸ఏᑟ 4 ᴟ㟁☢▼࡛⾜ࢃࢀࡿࠋࡇࡢ

ሙࡢ୺ᡂศ B1 ࡜ B5 ࢆẚ㍑ࡍࡿ࡜ࠊࡓࡵࠊࣅ࣮࣒⾪✺⏝࡜ࡋ࡚ 8 ྎࡢ㉸ఏᑟ 4 ᴟ㟁☢

ଵ ோೝ೐೑ ସ ୱ୧୬ ଷ଴଴ι

B5/B1 = ହ ቀ ௔ ቁୱ୧୬ ଺଴ι▼ࡀࣅ࣮࣒⾪✺Ⅼ┤㏆㸦Interaction Region: IR㸧࡟ ࡜࡞ࡿࠋタ⨨ࡉࢀ࡚࠸ࡿࠋ᭦࡟ࠊIR ࡟ࡣࣅ࣮࣒ㄪᩚ⏝ࡢ 47㟁☢▼ࡢ☢ሙࢆホ౯ࡍࡿ༙ᚄ㸦Rref㸧ࢆ 20 mm ࡜ࡋࠊࢥ࢖ࣝࡢࣈࣟࢵࢡࡢᖹᆒ༙ᚄ a = 30 mm ࢆ⪃࠼ࡿ࡜ B5/B1 = í3.9510-2 ࡜࡞ࡿࠋຍ㏿ჾ⏝㟁☢
▼☢ሙ࡛ࡣࠊ୺ᡂศ௨እࡢ㧗ḟࡢ☢ሙᡂศࢆ 1
10-4 ࣞ࣋ࣝ࡟࡞ࡿࡼ࠺࡟ࢥ࢖᩿ࣝ㠃ࡣタィࡉࢀࡿྎࡢ㉸ఏᑟ㟁☢▼ࡀ⤌ࡳ㎸ࡲࢀ࡚࠾ࡾࠊ㉸ఏᑟ㟁☢▼ࡢ⥲ᩘࡣ 55 ྎ࡜࡞ࡿࠋࡇࡢ 55 ྎࡢ㉸ఏᑟ㟁☢▼ࡣࠊIP ࢆᣳࢇ࡛タ⨨ࡉࢀ࡚࠸ࡿ᩿⇕┿✵ᐜჾࢡࣛ࢖࢜ࢫࢱࢵࢺ QCS-R ࡜ QCS-L ࡟ศ๭ࡉࢀ࡚
⤌ࡳ㎸ࡲࢀࠊQCS-R ࡟ࡣ 30 ྎࠊQCS-L ࡟ࡣ 25 ྎ

㸳㸫 6

ᅗ 9 2 ྎ䛾䜽䝷䜲䜸䝇䝍䝑䝖ෆ䛾㉸ఏᑟ㟁☢▼ᵓᡂ

ᅗ 10 SuperKEKB IR 䜢ୖ䛛䜙ぢ䛯㉸ఏᑟ㟁☢▼䜽䝷䜲䜸䝇䝍䝑䝖䚸䝦䝸䜴䝮෭෾ᶵ䚸ຍ㏿ჾᖖఏᑟ㟁☢▼䛸䝡䞊䝮䝷䜲䞁䚸Belle-II ᳨ฟჾ䠄Ỉᖹ᩿㠃䠅䚹ᅗ୰䚸䝊䝻䛾఩⨨䛜䝡䞊䝮⾪✺Ⅼ䚹⾲ 1: 䝡䞊䝮᭱⤊㞟᮰⏝㉸ఏᑟ㟁☢▼

QCS-L

QCS-R

୺ 4 ᴟ㟁☢▼䠖8 ྎ
QC1LP
QC2LP
QC1LE
QC2LE
QC1RP
QC2RP
QC1RE
QC2RE
QC1-2RP
QC1-2RE⿵ṇ☢▼䠖35 ྎ
a1, b1, a2, b4
a1, b1, a2, b4
a1, b1, a2, b4
a1, b1, a2, b4
a1, b1, a2, a3(b3), b4
a1, b1, a2, a3
a1, b1, a2, a3
a1, b1, a2, a3b3b3

QC1P ₃☢ሙ⿵ṇ☢▼䠖8 ྎ⿵ṇ䝋䝺䝜䜲䝗

b3, b4, b5, b6

ESL

b3, b4, b5, b6

ESR1
ESR2
ESR3

㸳㸫 7

ᅗ 11 QCS-RࠊQCS-L ࢡࣛ࢖࢜ࢫࢱࢵࢺ࡜ Belle-II
IIᐃჾࠋࡇࡢ෗┿ࡣࠊࣅ࣮࣒㐠㌿๓ࡢ≧ែ࡛ Belle-ᐃჾࡀࣅ࣮࣒ࣛ࢖ࣥࡼࡾ⛣ືࡋ࡚࠸ࡿࠋ

ࡀ㠀ᖖ࡟㧗࠸⤌❧⢭ᗘ࡛㓄⨨ࡉࢀ࡚࠸ࡿࠋᅗ 9 ࡟᮰ࡍࡿࠋྠᵝ࡟ࠊQC1RE ࡜ QC1LE ࡣ㟁Ꮚࣅ࣮࣒ࡣࠊ2 ྎࡢࢡࣛ࢖࢜ࢫࢱࢵࢺࡢ୰ࡢ㉸ఏᑟ㟁☢▼ࢆᆶ┤᪉ྥ࡟ࣅ࣮࣒ࢆ㞟᮰ࡋࠊQC2RE ࡜ QC2LE

ࡢᵓᡂࢆᴫᛕⓗ࡟♧ࡋ࡚࠶ࡿࠋ

ࡣ㟁Ꮚࣅ࣮࣒ࢆỈᖹ᪉ྥ࡟㞟᮰ࡍࡿࠋ

ᅗ 9 ࡜⾲ 1 ࡟♧ࡋࡓ an ࡜ bn ࡣࠊ➨ 2 ❶࡛♧ࡋྛ㉸ఏᑟ 4 ᴟ㟁☢▼࡟ࡣࠊ4㹼5 ྎࡢ㉸ఏᑟ⿵ṇࡓ➨ 2n ᴟࢆ♧ࡋࠊࡑࡢከᴟ☢ሙࢆ୺ᡂศ࡜ࡍࡿ

㟁☢▼ࡀ⤌ࡳ㎸ࡲࢀ࡚࠸ࡿࠋࡲࡓࠊQC1RP ࡜⿵ṇ☢▼࡛࠶ࡿࠋ

QC2RP 㛫ࠊQC1RE ࡜ QC2RE 㛫ࡢࣅ࣮࣒ࣛ࢖ࣥ

55 ྎࡢ㉸ఏᑟ㟁☢▼ࡣ 3 ࡘࡢࢱ࢖ࣉ࡟ศࡅࡽ
ࢀࡿࠋࡇࢀࡽࡣࠊ㸯㸧ࣅ࣮࣒ࢆ㞟᮰ࡍࡿࡓࡵࡢ 8

ୖ࡟ྛࠎ1 ྎࡢ㉸ఏᑟ⿵ṇ 6 ᴟ㟁☢▼ࡀタ⨨ࡉࢀ࡚࠸ࡿࠋྎࡢ㉸ఏᑟ 4 ᴟ㟁☢▼ࠊ
2㸧ࣅ࣮࣒㐠㌿ㄪᩚ࡜ QC1P

⿵ṇࢯࣞࣀ࢖ࢻ ESL ࡜ ESR1 ࡣ⾪✺Ⅼ࡟᭱ࡶ㏆

4 ᴟ㟁☢▼࠿ࡽࡢ₃ࢀ☢ሙࢆᡴࡕᾘࡍാࡁࢆᣢࡘ

࠸఩⨨࡟㓄⨨ࡉࢀࠊESR2 ࡜ ESR3 ࡣࠊQCS-R ࢡ⿵ṇ㟁☢▼ࠊ3㸧Belle-II ᳨ฟჾࢯࣞࣀ࢖ࢻࡢ 1.5 Tࣛ࢖࢜ࢫࢱࢵࢺᚋ᪉ࡢᾮయ࣒࣊ࣜ࢘ᐜჾࡢ HER☢ሙࢆ✚ศⓗ࡟ᡴࡕᾘࡍࡓࡵࡢ 4 ྎࡢ⿵ṇࢯࣞࣀ࡜ LER ࣅ࣮࣒ࣛ࢖ࣥ࡟ྲྀࡾ௜ࡅࡽࢀ࡚࠸ࡿࠋ

࢖ࢻ☢▼࡛࠶ࡿࠋ55 ྎࡢ㉸ఏᑟ㟁☢▼ࡣᅗ 9 ࡟♧

ᅗ 10 ࡣࠊ⟃Ἴᐇ㦂ᐊ࡟㓄⨨ࡉࢀࡓຍ㏿ჾࣅ࣮ࡉࢀࡿࡼ࠺࡟ 2 ྎࡢࢡࣛ࢖࢜ࢫࢱࢵࢺ࡟ศ๭ࡉࢀ

࣒ࣛ࢖ࣥࢆୖ࠿ࡽ═ࡵࡓ≧ែࢆ♧ࡋ࡚࠶ࡿࠋࡇࡢ

࡚⤌ࡳ㎸ࡲࢀ࡚࠸ࡿࠋ඲࡚ࡢ㟁☢▼ࡀ⾲ 1 ࡟グ㍕ᅗ࡟ࡣࠊ㉸ఏᑟ㟁☢▼ࢆ෭༷ࡍࡿࡓࡵࡢ࣒࣊ࣜ࢘

ࡉࢀ࡚࠸ࡿࠋ

෭෾ᶵࡶ♧ࡉࢀ࡚࠸ࡿࠋࡲࡓࠊBelle-II ᳨ฟჾࡣỈLER 4 ᴟ㟁☢▼ QC1RP ࡜ QC1LP ࡣ IP ࡟᭱ࡶᖹ᩿㠃ࢆ♧ࡋࠊࡑࡢෆ㒊࡟ᤄධࡉࢀࡓ࣐ࢢࢿࢵࢺ

㏆࠸఩⨨࡟タ⨨ࡉࢀ࡚࠸ࡿࠋࡇࡢ 2 ࡘࡢ 4 ᴟ☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺࡣእᙧࢆ♧ࡋ࡚࠸ࡿࠋQCS-Rࠊ

ࡣ㝧㟁Ꮚࣅ࣮࣒ࢆᆶ┤᪉ྥ࡟ࣅ࣮࣒ࢆ㞟᮰ࡍࡿࠋ

QCS-L ࢡࣛ࢖࢜ࢫࢱࢵࢺࡣࠊ᏶඲࡟ Belle-II ᳨ฟ

QC2RP ࡜ QC2LP ࡣ㝧㟁Ꮚࣅ࣮࣒ࢆỈᖹ᪉ྥ࡟㞟ჾෆ㒊࡟㓄⨨ࡉࢀ࡚࠸ࡿࠋࣅ࣮࣒⾪✺఩⨨ࡣࠊᅗ

㸳㸫 8

࡟ 470 mm ࡎࢀ࡚࠸ࡿࠋBelle-II ࢯࣞࣀ࢖ࢻࡣࠊ᳨

 㟁☢▼ࢡࣛ࢖ ࢜ࢫࢱࢵࢺタィୖࡢ✵㛫ⓗ࣭⇕ⓗ࡞ไ⣙ฟჾ୰ᚰ㒊࡛ 1.5 T ࡢ☢ሙࢆⓎ⏕ࡋࠊ55 ྎࡢຍ㏿

㉸ఏᑟ 4 ᴟ㟁☢▼ࡢタィࢆ⾜࠺࡟࠶ࡓࡾࠊBelle-ჾ㉸ఏᑟ㟁☢▼ࢩࢫࢸ࣒ࡣࠊࡇࡢ☢ሙ୰࡛㐠㌿ࡉII ᳨ฟჾ࡜ຍ㏿ჾᶵჾ࡜ࡢቃ⏺ࡀ᭱ึ࡟ᐃ⩏ࡉࢀࢀࡿࠋ⾲ 2 ࡟ࠊࣅ࣮࣒⾪✺⏝㉸ఏᑟ㟁☢▼ࢩࢫࢸࡓࠋࡇࡢቃ⏺ࡣࠊඛ௦ຍ㏿ჾ KEKB ࡜ Belle ᳨ฟ࣒ࡢ୺ࣃ࣓࣮ࣛࢱࢆࡲ࡜ࡵࡓࠋᅗ 11 ࡣࠊ⟃Ἴᐇ㦂ჾ࡜ࡢ✵㛫ไ⣙᮲௳ࢆ㋃くࡋࡓࡶࡢ࡛ࠊࡑࡢ⤖ᐊ࡟タ⨨ࡉࢀࡓ QCS-RࠊQCS-L ࢡࣛ࢖࢜ࢫࢱࢵࢺ

ᯝࠊࣅ࣮࣒⾪✺㡿ᇦࡢᶵჾࡢタィࢆಁ㐍ࡉࡏࡓࠋ࡜ Belle-II ᳨ฟჾࡢ෗┿࡛࠶ࡿࠋ෗┿ࡣຍ㏿ჾࣜ≀⌮ᐇ㦂࡟ᚲせ࡞✵㛫ࡣ Belle-II ᳨ฟჾ୰ᚰ㍈࡟ࣥࢢእ࠿ࡽ᧜ᙳࡉࢀࡓࡶࡢ࡛࠶ࡿࠋ

ᑐࡋ࡚⾪✺Ⅼ࠿ࡽྑഃࡣゅᗘ  ᗘࠊᕥഃࡣ  ᗘ

10 ࡟♧ࡍࡼ࠺࡟ Belle-IIᐃჾ୰ᚰ࠿ࡽ QCS-L ഃࡢ෇㗹ࡢእ㒊࡜࡞ࡾࠊຍ㏿ჾᶵჾཬࡧ᳨ฟჾ࠿ࡽ
⾲ 2 ㉸ఏᑟ㟁☢▼ࢩࢫࢸ࣒୺ࣃ࣓࣮ࣛࢱ

ฟ࡚ࡃࡿಙྕ⥺ࠊ㓄⟶➼ࡣࡇࡢ෇㗹ࡢෆ㒊࡟㓄⨨㉸ఏᑟ㟁☢▼ྎᩘ55

ࡍࡿᚲせࡀ࠶ࡿࠋQCS-R ࡜ QCS-L ࢡࣛ࢖࢜ࢫࢱ

4 ᴟ㟁☢▼QC1RP, QC1LP
QC2RP, QC2LP
QC1RE, QC1LE
QC2RE, QC2LE✚ศ 4 ᴟ☢ሙࠊT
22.96, 22.96
11.54, 11.48
25.36, 26.94
13.04, 15.27

ࢵ ࢺࡢ ඛ㢌㒊 ෇㗹 ≧ࡢ㠃 ࡣቃ ⏺㠃࡟ ࡓ࠸ ࡋ࡚⿵ṇࢯࣞࣀ࢖ࢻ
ESR1㸩ESR2/ESR3
ESL✚ศ☢ሙࠊTm
3.86
2.31

QC1E ㉸ఏᑟ 4 ᴟ㟁☢▼ࡣࠊࡇࡢࡼ࠺࡞᳨ฟჾ࡜

☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺ

෭༷㔜㔞ࠊkg㛫ࡢ✵㛫ෆ࡛ྍ⬟࡞㝈ࡾ IP ࡟㏆࠸఩⨨࡟㓄⨨ࡉ

QCS-R, QCS-L

3,139, 1,786

He ෭෾ᶵࢩࢫࢸ࣒

2ᇶ

1 ᇶ෭༷⬟ຊ@4.5K

250W

ྛࠎ233 mmࠊ402 mm ᚋ㏥ࡋ࡚࠸ࡿࠋࡇࢀࡣࠊ᳨
ฟჾ࡟᥋⥆ࡉࢀࡿ኱㔞ࡢಙྕࢣ࣮ࣈ࣭ࣝࣃ࢖ࣉ➼ࢆ㓄⨨ࡍࡿࡓࡵࡢ✵㛫ࢆ☜ಖࡍࡿࡓࡵ࡛࠶ࡿࠋ㟁Ꮚ࣭㝧㟁Ꮚࣅ࣮࣒ࢆᆶ┤᪉ྥ࡟㞟᮰ࡍࡿ QC1P ࡜ࡢቃ⏺᮲௳࡜ 2 ࡘࡢᐊ ࡢࣅ࣮࣒ࣛ࢖ࣥ㸦ᐊ ࡢࣅ࣮࣒ࣃ࢖ࣉ࡛ 4 ᴟ㟁☢▼ෆ⟄࡟⤌㎸ࡲࢀࡿ㸧ࡢࢀࡿࡼ࠺࡟タィࡉࢀ࡚࠸ࡿࠋ
 ,5 ຍ㏿ჾ㟁☢▼࡬ࡢ⫼ᬒ☢ሙศᕸ
Belle-II ㉸ఏᑟࢯࣞࣀ࢖ࢻࡣ᳨ฟჾෆ㒊࡟ 1.5 T

4. ㉸ఏᑟ㟁☢▼ࡢタィ ㉸ఏᑟ㟁☢▼タィࡢไ⣙᮲௳ࡢ☢ሙࢆⓎ⏕ࡋ࡚࠸ࡿࠋࡇࡢ☢ሙศᕸࢆᅗ 12 ࡟♧ࡋࡓࠋᅗ୰ࡢ Z=0 ࡀࣅ࣮࣒⾪✺Ⅼ㸦IP㸧࡛࠶ࡿࠋࣅ࣮࣒㞟᮰࡟౑ࢃࢀࡿࠊ㉸ఏᑟ 4 ᴟ㟁☢▼ࢆ IP ࠿
ࡽࡢ㊥㞳ࢆ⏝࠸࡚ᅗ୰࡟♧ࡋࡓࠋຍ㏿ჾ㉸ఏᑟ㟁

ᅗ 12 Belle-II ᳨ฟჾ㍈ୖ䛷䛾᳨ฟჾ䝋䝺䝜䜲䝗䛜Ⓨ⏕䛩䜛☢ሙศᕸ䠄ィ⟬䠅䚹Z䠙0 䛾఩⨨䛿 IP 䛻┦ᙜ䛩䜛䚹䜎䛯ᅗ୰䛻䛿䚸ᶓ䛛䜙ぢ䛯 4 ᴟ㟁☢▼䛾఩⨨䜢ྛ☢▼䛾㛗䛥䜢ᣢ䛴㛗᪉ᙧ䛾䝤䝻䝑䜽䛷♧䛧䛯䚹㸳㸫 9☢▼ࡣࠊࢯࣞࣀ࢖ࢻ☢ሙᙉᗘࡢᙉᙅࡣ࠶ࢀ඲᳨࡚
⾲ 3 4 ᴟ㟁☢▼䛾䝡䞊䝮ගᏛ䛛䜙䛾☢ሙ௙ᵝฟჾࢯࣞࣀ࢖ࢻ☢ሙ୰࡛㐠㌿ࡉࢀ࡚࠸ࡿࠋ

 ࣅ࣮࣒᭱⤊㞟᮰ࢩࢫࢸ࣒ࡢ☢ሙタィ
4.1 ࡛♧ࡋࡓࡼ࠺࡟ࠊ஧ࡘࡢࣅ࣮࣒ࡣ Belle-II ࢯࣞࣀ࢖ࢻࡢ 1.5 T ࡢ☢ሙ୰ࢆ 83 mrad ࡢゅᗘࢆᣢࡗ࡚⾪✺Ⅼ࡟ධࡗ࡚ࡃࡿࠋࢯࣞࣀ࢖ࢻ☢ሙࡣࣅ࣮࣒㐠㌿࡟ᙳ㡪ࢆ୚࠼ࡿࡓࡵࠊࡇࡢ☢ሙࡣࣅ࣮࣒ࣛ࢖ ࣥ ୖ ࡛ ✚ ศ ⓗ ࡟ ⿵ ṇ ࢯ ࣞ ࣀ ࢖ ࢻ 㸦 ESL ࠊ

㟁☢▼

☢ሙᙉᗘ

QC1LP
QC1RP
QC2LP
QC2RP
QC1LE
QC1RE
QC2LE
QC2RE

T
22.96
22.96
11.48
11.54
26.94
25.39
15.27
13.04

Z

'x

'y

'T

m
-935
935
-1925
1925
-1410
1410
-2700
2925

mm
0.0
0.0
0.0
0.0
0.7
-0.7
0.7
-0.7

mm
-1.5
-1.0
-1.5
-1.0
0.0
0.0
0.0
0.0

mrad
-13.4
7.2
-3.7
-2.1
0.0
0.0
0.0
0.0

ESR1/2/3㸧࡟ࡼࡾᡴࡕᾘࡉࢀࡿࠋ
㉸ఏᑟ 4 ᴟ㟁☢▼ࡣࠊࢯࣞࣀ࢖ࢻ☢ሙ୰࡛᭦࡟

ࡍࡿỈᖹ㠃࡟ᑐࡋ࡚ᆶ┤᪉ྥ࡟೫ᚰࡋ࡚࠸ࡿࠋࡇ

2 ࡘࡢࣅ࣮࣒ࣛ࢖ࣥࡢ㝈ࡽࢀࡓ✵㛫࡟⤌㎸ࡲࢀࡿࢀ࡟ᑐࡋ࡚ࠊHER ⏝ࡢ 4 ᴟ㟁☢▼ࡣ☢ሙࡢ఩┦ゅⅭࠊ4 ᴟ☢ሙ࠿ࡽࡢ☢ሙࡀᑐᢠࡍࡿࣅ࣮࣒ࣛ࢖ࣥᗘࡢᅇ㌿ࡣ࡞࠸ࡀࠊ☢ሙ୰ᚰࡀỈᖹ᪉ྥ࡟೫ᚰࡋ

࡬₃ࢀ࡞࠸ࡼ࠺࡟ QC1LP ࡜ QC1RP ௨እࡢ 6 ྎࡢ࡚࠸ࡿࠋࡇࡢ 4 ᴟ㟁☢▼ࡢࣅ࣮࣒ගᏛ࠿ࡽࡢ௙ᵝ

4 ᴟ㟁☢▼㸦QC1LEQC1REQC2LEQC2REࡣࠊ㟁☢▼ᮏయࢆ㠀ᖖ࡟⢭ᐦ࡟〇సࡍࡿࡔࡅ࡛ࡣ

QC2LPQC2RP㸧࡟ࡣ☢ᛶయ࣮ࣚࢡࡀྲྀࡾ௜ࡅࡽ࡞ࡃࠊ ᗘ 4 K ࡲ࡛෭༷ࡋࡓ 4 ᴟ㟁☢▼ࢆࣅ࣮࣒ࢀ࡚࠸ࡿࠋࡇࡢ 6 ྎࡢ 4 ᴟ☢▼ࡀタ⨨ࡉࢀࡓ✵㛫㐠㌿୰ࡢ㟁☢▼࡬ࡢ⇕ⓗ࣭ᶵᲔⓗ࡞㈇Ⲵࡀ࠶ࡿ≧࡛ࡣࠊ%elle-II ࢯࣞࣀ࢖ࢻ☢ሙ࡟ࡼࡾ࣮ࣚࢡࡀ☢Ẽែ࡛㓄⨨ࡍࡿࡇ࡜ࡀồࡵࡽࢀࡿࠋࣁ࣮ࢻ࢚࢘࢔࣮

㣬࿴ࡋ࡞࠸ࡼ࠺࡟⿵ṇࢯࣞࣀ࢖ࢻࡣ 1.5 T ࡢ☢ሙࢩࢫࢸ࣒ࢆ᏶ᡂࡉࡏࡿୖ࡛ࡣ㠀ᖖ࡟ཝࡋ࠸タィࢆᡴࡕᾘࡍࠋᅗ 12 ࡛♧ࡉࢀࡿ IP ࢆྵࡴ QC1LP~

᮲௳࡛࠶ࡿࠋ
㉸ఏᑟ 4 ᴟ㟁☢▼ࡢ〇స࡟ࡘ࠸࡚ࡣࠊ

QC1RP 㛫ࡢ Belle-II ࢯࣞࣀ࢖ࢻ☢ሙࡣࠊᙉ࠸⿵ṇ2019 ᖺᗘࡢ OHO’19ࠕSuperKEKB࣑ࣝࣀࢩࢸ࢖

ࢯࣞࣀ࢖ࢻ☢ሙ࡛✚ศⓗ࡟ᡴࡕᾘࡉࢀࡿࠋQC1LP

ࣇࣟࣥࢸ࢖࢔ࢆษࡾᣅࡃ㟁Ꮚ㝧㟁Ꮚࢥࣛ࢖ࢲ࣮ࠖ

࡜ QC1RP ࡣࡇࡢࢯࣞࣀ࢖ࢻෆ㒊࡟⤌ࡳ㎸ࡲࢀࡿࠋࡢㅮ⩏ 9㸸ࣅ࣮࣒⾪✺Ⅼ㉸ఏᑟ㟁☢▼㸦᭷ᮏẶ㸧

QC1LP ࡜ QC1RP ࡟ࡣࠊBelle-II ࢯࣞࣀ࢖ࢻ☢ሙ࡜࡛ヲࡋࡃ⤂௓ࡉࢀ࡚࠸ࡿࡢ୍࡛ㄞࡋ࡚㡬ࡁࡓ࠸ࠋ

⿵ṇࢯࣞࣀ࢖ࢻ☢ሙ࠿ࡽྜᡂࡉࢀࡓ⣙ 2.6 T ࡢ☢
ሙࡀ㔜␚ࡉࢀࡿࡇ࡜࡟࡞ࡿࡓࡵࠊࡇࡢ 4 ᴟ㟁☢▼

QC1RPࠊQC1LP ㉸ఏᑟ 4 ᴟ㟁☢▼࡟ࡣ࣮ࣚࢡࡣྲྀࡾ௜ࡅࡽࢀ࡚࠸࡞࠸ࠋQC1LP ࡜

8 ྎࡢ 4 ᴟ㟁☢▼ࡢ୰࡛ QC1RP ࡜ QC1LP ࡣ᭱

QC1RP ࡢ 4 ᴟ☢ሙ࠿ࡽࡢ₃ࢀ☢ሙࡣࠊ㠀ᖖ࡟≉Ṧࡶ IP ࡟㏆࠸఩⨨࡟タ⨨ࡉࢀࡿࠋ4.2 ⠇࡛㏙࡭ࡓࡀࠊ࡞ᙧ≧ࡢ㉸ఏᑟ⿵ṇ☢▼ࢆ㟁Ꮚࣅ࣮࣒ࣛ࢖ࣥ࡟

ࡇࡢ 4 ᴟ㟁☢▼ࡣ☢ᛶయ࣮ࣚࢡࢆᣢࡓ࡞࠸㟁☢▼タ⨨ࡋࠊ₃ࢀ☢ሙࢆᡴᾘࡋ㟁Ꮚࣅ࣮࣒㐠㌿࡬ࡢᙳ࡛࠶ࡿࠋQC1LP ࡜ QC1RP ࡣྠࡌタィࣃ࣓࣮ࣛࢱ

㡪ࢆᴟຊᑠࡉࡃࡍࡿᕤኵࡀࡉࢀ࡚࠸ࡿࠋ㉸ఏᑟ㟁ࢆᣢࡘࡓࡵࠊ☢▼ᮏయࡢ༊ูࢆᚲせ࡜ࡋ࡞࠸ሙྜ☢▼ࡢヲ⣽ࡣࠊ➨ 5 ❶㹼7 ❶࡛ㄝ᫂ࡍࡿࠋ

ࡣࠊࡇࢀࡽࡢ㟁☢▼ࢆ QC1P ࡜࿧ࡪࡇ࡜࡟ࡍࡿࠋ
௚ࡢ 4 ᴟ㟁☢▼ࡶྠࡌ⾲⌧᪉ἲࢆ⏝࠸ࡿࠋ5. ࣅ࣮࣒᭱⤊㞟᮰㉸ఏᑟ 4 ᴟ㟁☢▼ࡇࡢ 4 ᴟ㟁☢▼ࡢᇶᮏタィࡣࠊ➨ 2 ❶࡛ㄝ᫂ࡋࡓࡼ࠺࡟ࢥ࢖ࣝ࿘᪉ྥࡢ㟁ὶศᕸࢆ cos(2T)ᙧ≧ ࣅ࣮࣒᭱⤊㞟᮰ 4 ᴟ㟁☢▼࡟㏆࡙ࡅࡿࡇ࡜ࢆタィ᪉㔪࡜ࡋࡓࠋᅗ 13 ࡟ࠊࡇࡢ㉸ఏᑟ 4 ᴟ㟁☢▼ࡣࠊࣅ࣮࣒ࣛ࢖ࣥୖࡢỴࡵࡽ☢▼ࡢ᩿㠃ᙧ≧ࢆ♧ࡋࡓࠋᅗ୰ࡢ㉥⥺࡛♧ࡉࢀࡓࢀࡓ఩⨨࡟㓄⨨ࡉࢀࡿࠋࡇࡢࣃ࣓࣮ࣛࢱࢆ⾲ 3 ࡟㒊ศࡀ㉸ఏᑟࢣ࣮ࣈࣝ࡟┦ᙜࡍࡿ㒊ศ࡛ࡇࢀࡽ

♧ࡋࡓࠋࡲࡓࠊLER ࣅ࣮࣒ࣛ࢖ࣥୖࡢ 4 ᴟ㟁☢▼ࡀ㠡ᆺࡢࢥ࢖ࣝ≧࡟ᕳ࠿ࢀࡓࡶࡢࡀ᩿㠃ᅗࡢୗࡣタィ࡜ࡋ࡚Ỉᖹ㠃࡟ᑐࡋ࡚ 4 ᴟ☢ሙࡢ఩┦ゅᗘ࡟♧ࡉࢀ࡚࠸ࡿࠋ㟁☢▼⏝ࡢࢥ࢖ࣝࡣࠊᅗ࡟♧ࡍࡀᅇ㌿ࡋ࡚࠸ࡿࠋࡲࡓࠊࡑࡢ☢ሙ୰ᚰࡣ IP ࢆ㏻㐣ࡼ࠺࡟ 2 ࡘࡢⷧ࠸ࢥ࢖ࣝࢆ㔜ࡡࡓᵓ㐀㸦ࢲࣈࣝࣃ

㸳㸫 10

⾲4

QC1LP 䛸 QC1RP 䛾䝟䝷䝯䞊䝍タィ☢ሙ໙㓄䚸 Gd
タィ㟁ὶ䚸 Id㉸ఏᑟ䝁䜲䝹ෆ᭱኱☢ሙ䚸 Bp⮫⏺್䜎䛷䛾㈇Ⲵ⋡@4.7 K䚸RL㉸ఏᑟᶵ䝁䜲䝹ᙧ≧➨ 1 䝁䜲䝹
䝁䜲䝹ෆ/እ༙ᚄ䚸 Ri-c1/Ro-c1
䝁䜲䝹㛗䚸 Lc1
䝍䞊䞁ᩘ䚸 Tc1
➨ 2 䝁䜲䝹
䝁䜲䝹ෆ/እ༙ᚄ䚸 Ri-c2/Ro-c2
䝁䜲䝹㛗䚸 Lc2
䝍䞊䞁ᩘ䚸 Tc2
SUS 䜹䝷䞊ෆ/እ༙ᚄ䚸 Ri-col/Rocol

ᅗ 13 QC1P 䛾☢▼᩿㠃タィ䛸䝁䜲䝹ᙧ≧ࣥࢣ࣮࢟ᆺ㸧ࢆᣢࡗ࡚࠸ࡿࠋQC1P ࡣࠊࢯࣞࣀ࢖
ࢻ☢ሙ୰࡛ບ☢ࡉࢀࡿࡓࡵ 4 ᴟ㟁☢▼ᮏయࡀⓎ⏕ࡍࡿ☢ሙࡶຍ࠼ࡿ࡜㉸ఏᑟࢥ࢖ࣝෆࡢ᭱኱☢ሙࡣࠊタィ㟁ὶ 1800 A ࡟ᑐࡋ࡚ 4.56 T ࡜࡞ࡿࠋࢥ
࢖ࣝෆࡢ㟁ὶ࡜☢ሙ࡟ࡼࡾⓎ⏕ࡍࡿ㟁☢ຊ࡟ᑐᢠࡍࡿࡓࡵ࡟ࠊ㉸ఏᑟࢥ࢖ࣝ࡟ࡣࢫࢸࣥࣞࢫ〇ࡢ☢▼㛗䚸 Lpmᐇຠ☢ሙ㛗䚸 Lem
䜲䞁䝎䜽䝍䞁䝇䚸 L
Rutherford ㉸ఏᑟ䜿䞊䝤䝹䝇䝖䝷䞁䝗䝽䜲䝲䞊እᚄ䚸 Ds㖡ẚ䚸 Cu/S䝣䜱䝷䝯䞁䝖ᚄ䚸 Df䝣䜱䝷䝯䞁䝖ᩘ䚸 Nf⮫⏺㟁ὶ@ 5T, 4.22 K䚸 Ic
Rutherford 䜿䞊䝤䝹䜿䞊䝤䝹ᖜ䚸 Wc
䜿䞊䝤䝹୰㛫㒊ཌ䚸 Tcm
䜻䞊䝇䝖䞁ゅᗘ䚸Tk䝇䝖䝷䞁䝗ᩘ䚸 Ns

76.37 T/m
1800 A
4.56 T
72.3 %

25.0 /27.7 mm
344.6 mm
12
27.8/30.4 mm
361.9 mm13
30.8/35.5 mm
409.3 mm
333.6 mm
0.88 mH
NbTi

0.498 mm
1.0
7.7 Pm2113
317 A
2.50 mm0.93 mm2.09 deg.
10࣮࢝ࣛ࡟ࡼࡾෆ㒊ᛂຊࢆ᥃ࡅࠊࢥ࢖ࣝᙧ≧ࢆಖᣢࡋ࡚࠸ࡿࠋ
⾲ 4 ࡟ QC1P ࡢ☢▼ࣃ࣓࣮ࣛࢱࢆ♧ࡋࡓࠋ㟁☢
▼㟁ὶ 1800 A ࡣ㝧㟁Ꮚ࡜㟁Ꮚࡢ⾪✺࢚ࢿࣝࢠ࣮
ࡀ 12 GeV ࡜ࡋ࡚タィࡋࡓࠋ㏻ᖖࡢ≀⌮ᐇ㦂ࡣ 11
GeV ࡛⾜ࢃࢀ࡚࠸ࡿࠋQC1P ࢆࣅ࣮࣒㐠㌿≧ែ࡛1800 A ࡲ࡛ບ☢ࡋࡓሙྜࠊQC1P ࡢࢣ࣮ࣈࣝ⮫⏺
㟁ὶ್㸦2490 A㸧࡜ 1800 A ࡜ࡢẚ㸦㈇Ⲵ⋡㸸RL㸧

ᅗ 14QC1P ⏝㉸ఏᑟࢣ࣮ࣈ᩿ࣝ㠃

ࡣࠊ72.3 %࡛࠶ࡿࠋᐇ㐠㌿࡛ࡣࠊ㟁ὶ್ࡣ 1600 A

4 ᴟ㟁☢▼࡟౑⏝ࡉࢀ࡚࠸ࡿࢣ࣮ࣈࣝࡣࠊᮦ㉁௜㏆࡜࡞ࡾࠊRL ࡣࡇࢀࡼࡾࡶప࠸್࡜࡞ࡿࠋ㉸ఏ

NbTiࠊRutherford ࢱ࢖ࣉ࡛ࠊእᚄ 0.49 mm ࡢࢫࢺᑟ 4 ᴟ㟁☢▼ࡢᙧ≧࡜ࡋ࡚ࠊࢥ࢖ࣝ 1 ᒙ┠ෆ༙ᚄࣛࣥࢻ⥺ 10 ᮏ࠿ࡽᵓᡂࡉࢀ࡚࠸ࡿࠋࢫࢺࣛࣥࢻ

25 mmࠊ2 ᒙ┠እ༙ᚄ 30.4 mmࠊSUS ࣮࢝ࣛእ༙ᚄ

⥺ࡣࠊ☢ሙ 5 Tࠊ ᗘ 4.22 K ࡢ᮲௳࡛ 317 A ࢆ㏻

35.5 mmࠊ☢▼㛗ࡉ 409.3 mm ࡢᑠᆺࡢ㟁☢▼࡛࠶㟁ࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋࢣ࣮ࣈࣝࢧ࢖ࢬࡣࠊᖜ 2.5

ࡿࠋ⾲ 4 ࡟♧ࡋࡓ☢▼ࣃ࣓࣮ࣛࢱࡢ⾲グࡣࠊ௚ࡢmmࠊཌࡳ 0.93 mm ࡛ 2.09 ᗘࡢ࣮࢟ࢫࢺࣥゅᗘࢆ

4 ᴟ㟁☢▼࡛ࡶྠࡌ࡜ࡍࡿࠋ

ᣢࡗ࡚࠸ࡿࠋ࣮࢟ࢫࢺࣥゅᗘࡣࠊࢣ࣮ࣈࣝࢆࢥ࢖

㸳㸫 11

ࣝ ࿘᪉ ྥ࢔࣮ ࢳ≧ ࡟⢭ᗘ ࡼࡃ 㓄⨨ࡍ ࡿࡓ ࡵ࡟
QC1P Rutherford ࢣ࣮ࣈࣝ࡟᪋ᕤࡉࢀࡓࠋ㉸ఏᑟࢣ࣮ࣈࣝࡢ᩿㠃ᅗࢆᅗ 14 ࡟♧ࡋࡓࠋຍ㏿ჾ⏝㟁☢▼ࡣࠊ୍⯡ⓗ࡟ࡣࡑࡢ㟁☢▼ࡀⓎ⏕ࡍࡿ☢ሙ୺ᡂศ࡟ᑐࡋ࡚ 1×10-4㸦1 units㸧௨ୗࡢㄗᕪ☢ሙ࡛࠶ࡿࡇ࡜ࡀせồࡉࢀࡿࠋQC1P ࡢ☢ሙタィ࡟᪊࠸࡚ࡶࠊ4 ḟ௨ୖࡢ㧗ḟࡢ☢ሙᡂศ࡟ᑐ
ࡋ࡚ 1 units ௨ୗ࡟࡞ࡿࡼ࠺࡟タィࡉࢀ࡚࠸ࡿࠋࡲ
ࡎࠊᅗ 13 ࡛♧ࡋࡓ㟁☢▼᩿㠃㸦2 ḟඖ㸧࡛ࡢࢥ࢖ࣝࡢ࿘᪉ྥࡢ఩⨨ࡢ᭱㐺໬ࢆ⾜࠸ࠊࢥ࢖ࣝ 3 ḟඖ
⾲ 5 QC1P 䛾タィㄗᕪ☢ሙ㻌 @Rref=10 mmㄗᕪ☢ሙᡂศ
b4
b6
b8
b10
b12
b14

2 ḟඖ䚸units
0
0.10
0
-0.21
0.00
0.02

3 ḟඖ䚸units
0.24
0.54
0.01
-0.21
0.00
0.00

ᅗ 16 QC1E 䛾☢▼᩿㠃タィ䛸䝁䜲䝹ᙧ≧
QC1RE ࡜ QC1LE ࡣࠊHER ࣅ࣮࣒ࣛ࢖ࣥୖ࡛
IP ࡟᭱ࡶ㏆࠸఩⨨࡟㓄⨨ࡉࢀࡓ 4 ᴟ㟁☢▼࡛ࠊ☢
ᛶయࡢ࣮ࣚࢡࢆ SUS ࣮࢝ࣛእ࿘㒊࡟ᣢࡗ࡚࠸ࡿࠋ
☢ᛶయ࣮ࣚࢡ࡟ࡼࡾ QC1E ࠿ࡽ LER ࣅ࣮࣒ࣛ࢖
ࣥ࡬ࡢ☢ሙࡢ₃ࢀࡣࣅ࣮࣒㐠㌿࡟ᙳ㡪ࢆ୚࠼࡞ᅗ 15: QC1LP䠄ୖ䠅䚸QC1RP ⏝㉸ఏᑟ䝁䜲䝹䠄ୗ䠅䚸
SUS 䜹䝷䞊䠄䝁䜲䝹ᕥഃ䠅ᙧ≧࡛ࡢ㟁☢▼඲యࡢㄗᕪ☢ሙࢆ 1 units ௨ୗ࡜࡞ࡿࡼ࠺࡟ࢥ࢖ࣝ➃㒊ࡢᙧ≧ࡢ᭱㐺໬ࢆ⾜ࡗࡓࠋ☢
ሙタィ⤖ᯝࢆ⾲ 5 ࡟♧ࡋࡓࠋ⾲୰ࡢ್ࡣࠊཧ⪃༙
ᚄ Rref 10 mm ࡢ఩⨨࡛ࡢ☢ሙศᕸ࠿ࡽィ⟬ࡉࢀ
ࡓࠋ2 ḟඖ㟁☢▼᩿㠃タィࣔࢹࣝࠊ㟁☢▼඲యࡢ
3 ḟඖࣔࢹࣝ࡜ࡶ࡟㧗ḟࡢㄗᕪᡂศࡣ 1units ௨ୗ࡟ㄪᩚࡉࢀ࡚࠸ࡿࠋᅗ 15 ࡟᏶ᡂࡋࡓ QC1LP ࡜
QC1RP ⏝࡟〇సࡋࡓ㉸ఏᑟࢥ࢖ࣝࠊSUS ࣮࢝ࣛ࠸ࣞ࣋ࣝࡲ࡛ῶᑡࡉࡏ࡚࠸ࡿࠋ௨ୗ࡟ࡇࡢ 4 ᴟ㟁☢▼タィ᫬ࡢ᳨ウ࡟ࡘ࠸࡚ㄝ᫂ࡍࡿࠋ
QC1E ࡢ㟁☢▼᩿㠃タィ࡜㉸ఏᑟࢥ࢖ࣝᙧ≧ࢆ
ᅗ 16 ࡟♧ࡋࡓࠋQC1E ࡢࢥ࢖᩿ࣝ㠃タィࡣࠊQC1P
࡜ྠᵝࠊcos(2T)ࡢ㟁ὶศᕸࢆసࡿࡼ࠺࡟㉸ఏᑟࢣ࣮ࣈࣝࢆ㓄⨨ࡋ࡚࠸ࡿࠋQC1E ࡢ㟁☢▼࡜ࡋ࡚ࡢࣃ࣓࣮ࣛࢱࡣࠊ⾲ 6 ࡟♧ࡋࡓࠋQC1E ࡣ QC1P ࡼࡾ IP ࠿ࡽ㞳ࢀࡓࣅ࣮࣒ࣛ࢖ࣥୖ࡟タ⨨ࡉࢀࡿࡢ࡛ࠊ➨ 1 ࢥ࢖ࣝෆ༙ᚄࡣ QC1P ࡼࡾࡶ኱ࡁࡃ Ri-c1
㸻33.0 mm ࡛ࠊ࣮࢝ࣛእᚄࡣ Ro-col㸻47.0 mmࠊࣚࢆ♧ࡋࡓࠋ࣮ࢡእ༙ᚄ Ro-y㸻70.0 mm ࡛࠶ࡿࠋタィ㟁ὶ್ࡣ 4&5(ࠊ4&/( ㉸ఏᑟ 4 ᴟ㟁☢▼

ࡣ Gd㸻91.57 T/m ࡛࠶ࡿࠋ㉸ఏᑟࢥ࢖ࣝ࡟౑⏝ࡉId 㸻2000 A ࡛タィࡉࢀ࡚࠾ࡾࠊⓎ⏕ࡍࡿ☢ሙ໙㓄ࢀ࡚࠸ࡿ㉸ఏᑟࢣ࣮ࣈࣝࡢᇶᮏⓗ࡞ࣃ࣓࣮ࣛࢱ

㸳㸫 12

ࡣ QC1P ࡜ྠࡌࡔࡀࠊࢣ࣮ࣈࣝ࡟ࡘࡅࡽࢀࡓ࣮࢟ࢫࢺࣥゅᗘ㸦Tk㸧ࡣࢥ࢖ࣝෆᚄ࡟ྜࢃࡏ࡚ 1.59 ᗘ࡟タᐃࡉࢀ࡚࠸ࡿࠋ
QC1E ࡢタィㄗᕪ☢ሙࡣ⾲ 7 ࡟⧳ࡵࡽࢀࠊ☢ሙࡢホ౯༙ᚄ Rref=15 mm ࡟࠾࠸࡚ 1 units ௨ୗ࡜࡞ࡿࡼ࠺࡟ࢥ࢖᩿ࣝ㠃ࠊࢥ࢖ࣝ➃㒊ᙧ≧ࡀタィࡉࢀ࡚࠸ࡿࠋ⾲ 7 QC1E 䛾タィㄗᕪ☢ሙ㻌 @Rref=15 mm
ㄗᕪ☢ሙᡂศ
b4
b6
b8
b10
b12
b14

2 ḟඖ䚸units
0
-0.05
0
-0.26
0
-0.01

3 ḟඖ䚸units
-0.01
-0.03
0.04
-0.33
0.04
-0.06

QC1E ࡟ࡣ☢ᛶయ࣮ࣚࢡࡀྲྀ௜ࡅࡽࢀ࡚࠸ࡿ
ࡀࠊ࣮ࣚࢡࡀ Belle-II ࢯࣞࣀ࢖ࢻࡢ 1.5 T ☢ሙ࡛☢
Ẽ㣬࿴ࡋ࡞࠸ࡼ࠺࡟⿵ṇࢯࣞࣀ࢖ࢻ࡛ Belle-II ࢯࣞࣀ࢖ࢻ☢ሙࢆᡴᾘࡋ࡚࠸ࡿࠋ3 ḟඖ☢ሙゎᯒ࡟ࡼࡾタィࡉࢀࡓ⿵ṇࢯࣞࣀ࢖ࢻ࡛ࡣ୍㒊 Belle-IIࢯࣞࣀ࢖ࢻ☢ሙࡀṧ␃ࡋࠊQC1E ࡢ࣮ࣚࢡ࡟྾཰
ࡉࢀࡿࡇ࡜ࡀศ࠿ࡗ࡚࠸ࡿࠋࡇࡢⅭࠊ☢ᛶ࣮ࣚࢡཬࡧ☢ᛶࢆᣢࡘ㒊ရࡣࠊí 0.5 T㹼0.5 T ⛬ᗘࡢ☢ሙศᕸࢆᣢࡗ࡚࠸ࡿࠋᅗ 17 ࡟ࡣࠊQC1RE ࢆ⤌㎸ࢇࡔࢡࣛ࢖࢜ࢫࢱࢵࢺ᩿㠃ᅗࢆ♧ࡋࡓࠋ㝧㟁Ꮚࣅ࣮࣒ࣛ࢖ࣥ࡜㟁Ꮚࣅ࣮࣒ࣛ࢖ࣥࡀ஺ᕪゅᗘࢆᣢࡗ࡚࠸ࡿࡓࡵࠊIP ࡟㏆࡙ࡃ࡜㝧㟁Ꮚ⏝࣒࣊ࣜ࢘ᐜჾ
ෆ⟄ࡀ QC1RE ࣮ࣚࢡ࡜ᖸ΅ࡋ࣮ࣚࢡࡢ୍㒊ࢆ෇ᘼ≧࡟๐ࡗ࡚࠸ࡿࠋ㟁Ꮚࣅ࣮࣒ࣛ࢖ࣥୖ࡟ࡣ☢Ẽࢩ࣮ࣝࢻࡀྲྀ௜ࡅࡽࢀ࡚࠸ࡿࠋࡇࡢ QC1E ࣮ࣚࢡ
⾲ 6 QC1LE 䛸 QC1RE 䛾䝟䝷䝯䞊䝍
Gd
Id
Bp
RL
㉸ఏᑟᶵ䝁䜲䝹ᙧ≧➨ 1 䝁䜲䝹
Ri-c1/Ro-c1
Lc1
Tc1➨ 2 䝁䜲䝹
Ri-c2/Ro-c2
Lc2
Tc2
Ri-col/Ro-col䝶䞊䜽ෆ/እ༙ᚄ, Ri-y/ Ro-y
Lpm
Lem
L
Rutherford ㉸ఏᑟ䜿䞊䝤䝹䝇䝖䝷䞁䝗䝽䜲䝲䞊
Ic@ 5T, 4.22 K
Rutherford 䜿䞊䝤䝹䜻䞊䝇䝖䞁ゅᗘ䚸Tkᅗ 17 QC1RE IP ഃ䛾䜽䝷䜲䜸䝇䝍䝑䝖᩿㠃

91.57
T/m2,000 A
3.50 T
73.4 %

ᙧ≧ࢆ⏝࠸࡚ࠊQC1E ࠿ࡽ㝧㟁Ꮚࣅ࣮࣒ࣛ࢖ࣥ࡬
ࡢ₃ࢀ☢ሙ㔞ࢆィ⟬ࡋࡓࠋ࣮ࣚࢡࡢᮦ㉁࡜ࡋ࡚㕲࡜ࣃ࣮࣓ࣥࢪ࣮ࣗࣝࢆ⏝࠸ࡓࠋࣃ࣮࣓ࣥࢪ࣮ࣗࣝ
ࡣࠊ☢Ẽ㣬࿴ࡢ☢ሙࡀ 2.30 T ࡜⣧㕲ࡢ 2 T ࡼࡾ㧗

33.0/35.7mm
401.1 mm16

࠸ࠋᅗ 18 ࡣࠊQC1RE ࢆ 1577 A ࡟ບ☢ࡋࡓሙྜࡢ
ࢥ࢖ࣝࠊ࣮ࣚࢡࠊ☢Ẽࢩ࣮ࣝࢻෆࡢ☢ሙᙉᗘࡢศ
ᕸࢆ♧ࡋ࡚࠸ࡿࠋᅗ 19ࠊᅗ 20 ࡣࠊ࣮ࣚࢡෆ࡟ 0.5

35.8/38.4 mm
396.6 mm
18
38.8/47.0 mm
47.0/70.0 mm
455.4 mm
373.1 mm
2.19 mH
NbTi
307 A

T ࡢṧ␃ࢯࣞࣀ࢖ࢻ☢ሙࡀ࠶ࡿሙྜࡢィ⟬⤖ᯝࢆ♧ࡋ࡚࠶ࡿࠋ㕲ࢆ⏝࠸ࡓሙྜࠊ㝧㟁Ꮚࣅ࣮࣒ࣛ࢖
ࣥୖ࡛ࡢ QC1RE ࠿ࡽࡢ₃ࢀ☢ሙࡣ⣙ 1.8 Gauss ࡛࠶ࡿࡢ࡟ᑐࡋ࡚ࠊࣃ࣮࣓ࣥࢪ࣮ࣗࣝࢆ⏝࠸ࡓሙ
ྜࠊ0.2 Gauss ௨ୗࡲ࡛₃ࢀ☢ሙࢆᢚ࠼ࡿࡇ࡜ࡀ࡛
ࡁ࡚࠸ࡿࠋࡇࡢࡼ࠺࡞ィ⟬⤖ᯝࢆࡶ࡜࡟ࠊQC1E ࡢ࣮ࣚࢡ࡜☢Ẽࢩ࣮ࣝࢻᮦᩱ࡟ࡣࣃ࣮࣓ࣥࢪ࣮ࣗ
ࣝࡀ౑⏝ࡉࢀࡓࠋ

1.59 deg.

㸳㸫 13 4&53ࠊ4&/3 ㉸ఏᑟ 4 ᴟ㟁☢▼
QC2RP ࡜ QC2LP ㉸ఏᑟ 4 ᴟ㟁☢▼ࡣࠊᅗ 9 ࡟♧ࡍࡼ࠺࡟ IP ࠿ࡽぢ࡚ QC1PࠊQC1E ࡢᚋ᪉࡟㓄⨨ࡉࢀ࡚࠸ࡿࠋࡇࡢⅭࠊ4 ᴟ㟁☢▼ࢥ࢖ࣝෆ༙ᚄ
ࡣࡇࢀࡽࡢ 4 ᴟ㟁☢▼ࡼࡾࡶ኱ࡁ࠸タィ࡜࡞ࡗ࡚
࠸ࡿࠋQC2P ࡢ᩿㠃タィ࡜ࢥ࢖ࣝᙧ≧ࢆᅗ 21 ࡟♧
ࡋࡓࠋQC2P ࡢ 4 ᴟ㟁☢▼ࣃ࣓࣮ࣛࢱ̿ࢆ⾲ 8 ࡟⧳ࡵࡓࠋ➨㸯ࢥ࢖ࣝෆ༙ᚄࡣ Ri-c1㸻53.8 mm ࡛ࠊ࣮࢝ࣛእ༙ᚄࡣ Ro-col 㸻68.0 mmࠊ࣮ࣚࢡእ༙ᚄ
ᅗ 18  QC1RE ࢆ 1577A ࡲ࡛ບ☢ࡋࡓ᫬ࡢࢥ࢖
ࣝࠊ࣮ࣚࢡࠊ☢Ẽࢩ࣮ࣝࢻࡢ☢ሙᙉᗘศᕸࠋࢥࣥ
ࢱ࣮ᅗࡢ⾲♧ࣞࣥࢪࡣ 0T~2.72T ࡛࠶ࡿࠋ

Ro-y 㸻93.0 mm ࡛࠶ࡿࠋタィ㟁ὶ್ 1000 A ࡛
Gd=31.97 T/m ࡢ 4 ᴟ☢ሙ໙㓄ࢆⓎ⏕ࡍࡿࠋ☢▼㛗
Lpm=495.5 mmࠊ1 ᴟᙜࡓࡾࡢࢣ࣮ࣈࣝࢱ࣮ࣥᩘ 53
㸦Tc1=26 + Tc2=27㸧࡜࡞ࡿࡢ࡛☢▼ࡢ࢖ࣥࢲࢡࢱࣥ
ࢫ L ࡣ QC1P ࡜ QC1E ࡼࡾ኱ࡁࡃ 7.32 mH ࡛࠶
ࡿࠋQC2P ࡢㄗᕪ☢ሙࢆ⾲ 9 ࡟⧳ࡵࡓࠋホ౯༙ᚄ
Rref=30 mm ࡛ 1 units ௨ୗ࡟ᢚ࠼ࡽࢀ࡚࠸ࡿࠋ

ᅗ 19  ࣮ࣚࢡࠊ☢Ẽࢩ࣮ࣝࢻᮦᩱࡀ㕲ࡢሙྜࡢ☢ሙィ⟬⤖ᯝࠋࢥࣥࢱ࣮ᅗ⾲♧⠊ᅖ㸻0㹼5Gaussࠋ

ᅗ 20࣮ࣚࢡࠊ☢Ẽࢩ࣮ࣝࢻᮦᩱࡀࣃ࣮࣓ࣥࢪ
࣮ࣗࣝࡢሙྜࡢ☢ሙィ⟬⤖ᯝࠋࢥࣥࢱ࣮ᅗ⾲♧⠊ᅖ㸻0~5 Gaussࠋᅗ 21 QC2P ࡢ☢▼᩿㠃タィ࡜ࢥ࢖ࣝᙧ≧

㸳㸫 14

⾲8

QC2LP 䛸 QC2RP 䛾䝟䝷䝯䞊䝍

Gd
Id
Bp
RL
㉸ఏᑟᶵ䝁䜲䝹ᙧ≧➨ 1 䝁䜲䝹
Ri-c1/Ro-c1
Lc1
Tc1➨ 2 䝁䜲䝹
Ri-c2/Ro-c2
Lc2
Tc2
Ri-col/Ro-col
Ri-y/ Ro-y
Lpm
Lem
L
Rutherford ㉸ఏᑟ䜿䞊䝤䝹䝽䜲䝲䞊 Ic@ 5T, 4.22 K

Tk⾲ 10 QC2LE 䛸 QC2RE 䛾䝟䝷䝯䞊䝍

31.97 T/m
1,000 A
2.43 T44 %Gd (2RE, 2LE)
Id (2RE, 2LE)
Bp (2RE, 2LE)
RL (2RE, 2LE)
㉸ఏᑟᶵ䝁䜲䝹ᙧ≧➨ 1 䝁䜲䝹
Ri-c1/Ro-c1
Lc1 (2RE, 2LE)
Tc1
➨ 2 䝁䜲䝹
Ri-c2/Ro-c2
Lc2 (2RE, 2LE)
Tc2
Ri-col/Ro-col
Ri-y/ Ro-y (2RE)
Ri-y/ Ro-y (2LE)
Lpm (2RE, 2LE)
Lem (2RE, 2LE)
L (2RE, 2LE)
㉸ఏᑟ䜿䞊䝤䝹
䝽䜲䝲䞊 Ic@ 5T, 4.22 K

53.8/56.5 mm
442.3 mm26
56.6/59.2 mm
443.6 mm27
59.6/68.0 mm
68.0/93.0 mm
495.5 mm409.9 mm7.32 mH
NbTi
309 A
1.00 deg.

Tk

38.56, 36.39 T/m
1562.5, 1250.0 A
2.81, 2.63 T
57.4, 50.0 %59.3/62.0 mm
451.1, 569.1 mm
28
56.6/59.2 mm
455.9, 573.9 mm
3065.1/75.0 mm
85/108.5 mm
75/115.0 mm
560.7, 618.0 mm
419.0, 537.0 mm
10.36, 13.28 mH
NbTi
313 A
0.94 deg.

⾲ 9 QC2P 䛾タィㄗᕪ☢ሙ㻌 @Rref=30 mm
ㄗᕪ☢ሙᡂศ
b4
b6
b8
b10
b12
b14

2 ḟඖ䚸units
0í0.003
0
í0.10
0
í0.03

3 ḟඖ䚸units
í0.04
0.18
0.08
í0.96
0.02
-0.07

 4&5(ࠊ4&/( ㉸ఏᑟ 4 ᴟ㟁☢▼⾲ 11 QC2RE/2LE 䛾タィㄗᕪ☢ሙ㻌 @Rref=35 mm
ㄗᕪ☢
ሙᡂศ
b4
b6
b8
b10
b12
b14

2 ḟඖ䚸units
QC2RE/QC2LE
0
0
-0.19
-0.16
0
0
-0.11
-0.09
0
0
0.03
0.02

3 ḟඖ䚸units
QC2RE/QC2LE
0.07
0.05
-0.04
-0.09
0.06
0.04
-1.88
-1.30
0.03
0.02
-0.05
-0.03

QC2RE ࡜ QC2LE ࡢ㟁☢▼᩿㠃ᅗ࡜ QC2LE ࡢ⿵ṇࢯࣞࣀ࢖ࢻࡣ QC2RE ࡜ྠࡌࣅ࣮࣒ࣛ࢖ࣥ఩

㉸ఏᑟࢥ࢖ࣝᙧ≧ࢆᅗ 22 ࡟♧ࡋࡓࠋ2 ࡘࡢ 4 ᴟ㟁⨨࡟タ⨨ࡉࢀࡓࠋᚋ࡯࡝ㄝ᫂ࡍࡿ⿵ṇ㉸ఏᑟ㟁☢

☢▼࡟౑ࢃࢀ࡚࠸ࡿ㉸ఏᑟࢥ࢖ࣝࡢ᩿㠃タィࡣ▼ࡶ QC2RE ෆ⟄࡟タ⨨ࡉࢀ࡚࠸ࡿࡢ࡛ࠊQC2RE

ྠࡌ࡛࠶ࡿࡀࠊ⤌ࡳ❧࡚ࡽࢀࡓ㟁☢▼ࣘࢽࢵࢺ࡜

ࡣ㠀ᖖ࡟ከᶵ⬟࡛」㞧࡞㉸ఏᑟ㟁☢▼࡜࡞ࡗ࡚ࡋ࡚ࡣ኱ࡁࡃ␗࡞ࡗ࡚࠸ࡿࠋQC2LE ࡣࠊQC1E/

࠸ࡿࠋ

QC2P ࡜ྠࡌࡼ࠺࡟㉸ఏᑟࢥ࢖ࣝࢆᅛᐃࡍࡿ SUS

QC2RE ࡜ QC2LE ࡢ㟁☢▼ࣃ࣓࣮ࣛࢱࢆ⾲ 10࣮࢝ࣛࡢእ࿘㒊࡟☢ᛶయࡢ࣮ࣚࢡࢆᣢࡘ༢⣧࡞࡟⧳ࡵࡓࠋ4 ᴟ㟁☢▼ࢥ࢖ࣝෆ༙ᚄࡣࠊ4 ࢱ࢖ࣉࡢᵓ㐀࡛࠶ࡿࡀࠊQC2RE ࡣ SUS ࣮࢝ࣛ࡜࣮ࣚࢡࡢ

㟁☢▼ࡢ୰࡛᭱ࡶ኱ࡁ࠸ Ri-c1=59.3 mm ࡛࠶ࡿࠋ㛫࡟⿵ṇࢯࣞࣀ࢖ࢻ㸦ESR2㸧ࡀ⤌ࡳ㎸ࡲࢀ࡚࠸ࡿࠋ

タィ㟁ὶ್ࡣࠊId (2RE)=1562.5 AࠊId (2LE)=1250 Aᅗ 9 ࡟♧ࡋࡓࡼ࠺࡟ࠊQCS-R ࢡࣛ࢖࢜ࢫࢱࢵࢺ

࡛࠶ࡿࠋࡲࡓࠊタィ 4 ᴟ☢ሙ໙㓄ࡣࠊGd (2LE)= 36.39

࡟ࡣᚋ᪉࣒࣊ࣜ࢘ᐜჾෆ࡟ྛࣅ࣮࣒ࣛ࢖ࣥ࡟⿵

T/m ࡛࠶ࡿࠋ4 ᴟ㟁☢▼ࡢ㛗ࡉࡣ 2 ࡘࡢ㟁☢▼࡛ṇࢯࣞࣀ࢖ࢻ ESR2 ࡜ ERS3 ࡀタ⨨ࡉࢀ࡚࠸ࡿࠋ

␗࡞ࡾࠊLpm(2RE)= 419.0 mmࠊLpm(2LE)= 537.0 mm ࡛ࢡࣛ࢖࢜ࢫࢱࢵࢺෆࡢ✵㛫ⓗ࡞ไ⣙࠿ࡽࠊESR2࠶ࡿࠋࡇࢀࡣࠊQC2RE ࡜ QC2LE ࡢ IP ࠿ࡽࡢ㊥㸳㸫 15࢖ࣝࡢᙧ≧ 3 ḟඖࣔࢹࣝࢆ⏝࠸࡚ィ⟬ࡉࢀࡓࠋ2ḟඖ᩿㠃࡛ࡣࠊホ౯༙ᚄ Rref=35 mm ࡛ከᴟᡂศࡣ
1 units ௨ୗ࡜࡞ࡗ࡚࠸ࡿࡀࠊࢥ࢖ࣝ➃㒊ࢆྵࢇࡔ
3 ḟඖ☢ሙィ⟬࡛ࡣࠊnormal 20 ᴟᡂศ㸦b10㸧ࡀ
QC2RE ࡛ࡣí1.88 unitsࠊQC2LE ࡛ࡣí1.30 units ࠶ࡾࠊࡇࡢ⤖ᯝࡣࣅ࣮࣒ගᏛࡢィ⟬࡟ྲྀࡾධࢀࡽࢀ
࡚ࣅ࣮࣒㐠㌿ୖၥ㢟࡞࠸ࡇ࡜ࡀ☜ㄆࡉࢀ࡚࠸ࡿࠋ
 ㉸ఏᑟ 4 ᴟ㟁☢▼ࡢ☢ሙ ᐃ࡜ ᐃ⤖ᯝ㉸ఏᑟ 4 ᴟ㟁☢▼ࡢ☢ሙ ᐃ࡛ࡣࠊඛࡎタィ㟁ὶ࡛ 4 ᴟ☢ሙ໙㓄ࢆసࡿࡇ࡜ࡀ࡛ࡁ࡚࠸ࡿ࠿ࠊຍ
㏿ჾ㐠㌿᫬࡟ࣅ࣮࣒࡟࡜ࡗ࡚ㄗᕪ☢ሙ࡜࡞ࡿከ
ᴟ☢ሙᡂศࡀタィ್㏻ࡾᢚ࠼ࡽࢀ࡚࠸ࡿ࠿ࠊ4 ᴟ☢ሙࢭࣥࢱ࣮ࡀࢡࣛ࢖࢜ࢫࢱࢵࢺ࡟タ⨨ࡉࢀࡓᇶ‽఩⨨࡟ᑐࡋ࡚࡝ࡢ⛬ᗘࡢㄗᕪࢆᣢࡗ࡚࠸ࡿ࠿ࢆ ᐃࡋࡓࠋࡲࡓࠊࣅ࣮࣒᭱⤊㞟᮰⏝㉸ఏᑟ 4ᴟ㟁☢▼ࡢሙྜࠊ㟁☢▼ෆ㒊ࡢࣅ࣮࣒ࣛ࢖ࣥ࡟ἢ
ࡗࡓ☢ሙศᕸࡶࣅ࣮࣒㐠㌿࡟ᙳ㡪ࢆ୚࠼ࡿࡓࡵ
≉Ṧ࡞☢ሙ ᐃჾࡀᚲせ࡜࡞ࡿࠋࡇࢀࡽ☢ሙ ᐃჾࢆ⡆༢࡟ㄝ᫂ࡋ࡚ࠊ〇సࡉࢀࡓ 8 ྎࡢ㉸ఏᑟ 4ᴟ㟁☢▼ࡢ☢ሙ ᐃ⤖ᯝ࡟ࡘ࠸࡚ㄝ᫂ࡍࡿࠋ
 ☢ሙ ᐃ⿦⨨
4 ᴟ☢ሙᙉᗘࠊㄗᕪ☢ሙከᴟ☢ሙᡂศࠊ☢▼㍈
࡟ἢࡗࡓ☢ሙᡂศࡢศᕸࡣࠊTangential ࢥ࢖ࣝࢆ⤌ࡳྜࢃࡏࡓ Harmonic ࢥ࢖ࣝࢆ 4 ᴟ㟁☢▼ࢥ࢖ࣝෆ⟄ࡢᐊ ✵㛫࡛ᅇ㌿ࡋ࡚ᐃࢆ⾜ࡗࡓࠋᅇ㌿᫬ࡢࢥ࢖ࣝ࡟Ⓨ⏕ࡍࡿㄏᑟ㟁ᅽࢆᐃࡍࡿࡇ࡜࡟

ࡼࡾ☢᮰ࡢศᕸࢆ ᐃࡍࡿࠋTangential ࢥ࢖ࣝࡢᴫ

ᅗ 22 QC2LE 䛸 QC2RE 䛾☢▼᩿㠃タィ䛸 QC2LE
䝁䜲䝹ᙧ≧㞳ࡀ␗࡞ࡿࡇ࡜࡜ Belle-IIᐃჾ࡬ࡢࣂࢵࢡࢢࣛ

ࣥࢻࣀ࢖ࢬࡢపῶࡢࡓࡵ࡟タᐃࡉࢀࡓࠋ
2 ྎࡢ㟁☢▼ࡢㄗᕪ☢ሙ࡟ࡘ࠸࡚ࡶ௚ࡢ 4 ᴟ㟁☢▼࡜ྠᵝࠊ2 ḟඖࡢ☢▼᩿㠃ࣔࢹࣝ࡜㉸ఏᑟࢥ

ᅗ 23 Tangential 䝁䜲䝹 2 ḟඖ᩿㠃ᅗ䚹ᅗ୰䚸㯮୸䛃䛜䝁䜲䝹㒊䛻┦ᙜ䛩䜛䚹䂴䠖䝹䞊䝥䜢స䜛 2 䛴䛾䝽䜲䝲䞊䛾㛤䛝ゅᗘ䚸Rc䠖䝹䞊䝥༙ᚄ䚹㸳㸫 16ᛕᅗࢆᅗ 23 ࡟♧ࡋࡓࠋTangential ࢥ࢖ࣝࡣࠊ࣡࢖

⾲ 12࣮࡛ࣖࢥ࢖ࣝ≧ࡢ࣮ࣝࣉࢆసࡿࡀࠊᅗ 23 ࡟♧ࡍࡼ࠺࡟෇⟄ୖ࡟㓄⨨ࡉࢀࡿࠋ㉸ఏᑟ 4 ᴟ㟁☢▼ࡢ☢ሙ ᐃ࡟ࡣࠊᅗ 24 ࡛♧ࡉࢀ࡚࠸ࡿ Harmonic ࢥ࢖ࣝࢆ⏝࠸ࡓࠋࡇࡢࢥ࢖ࣝ࡟ࡣ ǻ㸻~23.7 ᗘࡢ
Tangential ࢥ࢖ࣝ࡜ ǻ㸻90 ᗘࠊ180 ᗘࡢ 4 ᴟ☢ሙᐃࢥ࢖ࣝ㸦3 ྎ㸧ࠊ2 ᴟ☢ሙ㟁☢▼
QC1P/QC1E
QC2P
QC2E

Harmonic㻌 䝁䜲䝹䝟䝷䝯䞊䝍✚ศ್ ᐃ
Lc/Rc (mm)
594.6
695.0
795.0

12.0
25.0
33.1

☢ሙศᕸ ᐃ
Lc/Rc (mm)
20.4
20.4
19.9

12.0
25.0
33.0

ᐃࢥ࢖ࣝ㸦3 ྎ㸧ࡀ࡚ヲࡋ࠸ㄝ᫂ࡣ⾜ࢃ࡞࠸ࡀࠊཧ⪃ᩥ⊩࡜ࡋ࡚[7,8]ࢆ⤂௓ࡍࡿࠋ⯆࿡ࡢ࠶ࡿ᪉ࡣࠊࡈ୍ㄞ㡬ࡁࡓ࠸ࠋࡲࡓࠊᅗ 24 ࡟ࡣ SuperKEKB ㉸ఏᑟ㟁☢▼
QC1PࠊQC1E ࡢ☢ሙ ᐃ࡟౑⏝ࡋࡓ Harmonic ࢥ࢖ࣝࡢ㸯ࡘࢆ♧ࡋࡓࠋࡇࡢࢥ࢖ࣝࡢࣃ࣓࣮ࣛࢱ
ࡣࠊ㛗ࡉ Lc=20.4 mmࠊࢥ࢖༙ࣝᚄ Rc=12.0 mmࠊ
Tangential ࢥ࢖ࣝࡢ㛤ࡁゅᗘ ǻ  ᗘࠊ࣡࢖࣮ࣖ
ࡢࢱ࣮ࣥᩘ T=120 ࡛࠶ࡿࠋࡇࡢ Harmonic ࢥ࢖ࣝᅗ 24㉸ఏᑟ㟁☢▼☢ሙᐃ࡟౑⏝ࡉࢀࡓ

Harmonic ࢥ࢖ࣝᐃࢆ⾜࠸ࠊ4 ᴟࢥ࢖ࣝࡢ 1 ྎࢆ⏝࠸࡚㉸ఏᑟ 4 ᴟ㟁☢▼ࡢ୺☢ሙᡂศ
࡛࠶ࡿ 4 ᴟ☢ሙᙉᗘࢆ 0.1 %௨ୗࡢ⢭ᗘ࡛ ᐃࡍࡿࠋࡲࡓࠊ4 ᴟࢥ࢖ࣝ࡜ 2 ᴟࢥ࢖ࣝࡢಙྕࢆ⏝࠸
࡚ 4 ᴟ☢ሙ࡜ 2 ᴟ☢ሙࡢࣂࢵ࢟ࣥࢢฎ⌮ࢆ⾜࠸ࠊ
4 ᴟ☢ሙ࠿ࡽㄏᑟࡉࢀࡿ ᐃୖࡢㄗᕪࢆྲྀࡾ㝖ࡃᐃࢆ⾜࠺ࠋᮏࢭ࣑ࢼ࣮࡛ࡣ☢ሙ ᐃ᪉ἲ࡟ࡘ࠸

ᅗ 25

ࣝࠊ3 ಶࡢ 2 ᴟࢥ࢖ࣝࡀ⤌ࡳ㎸ࡲࢀ࡚࠸ࡿࠋࡍ࡭
࡚ࡢࢥ࢖ࣝᙧ≧ࡣࠊᶆ‽ᖖఏᑟ 2 ᴟࠊ4 ᴟࠊ6 ᴟ㟁⤌ࡳ㎸ࡲࢀ࡚࠸ࡿࠋǻ㸻~23.7 ᗘࡢ Tangential ࢥ࢖ࣝࢆ⏝࠸࡚ከᴟ☢ሙᡂศࡢ࡟ࡣࠊTangential ࢥ࢖ࣝࡢ࡯࠿࡟ 3 ಶࡢ 4 ᴟࢥ࢖

SuperKEKB ㉸ఏᑟ 4 ᴟ㟁☢▼☢ሙ୰ᚰ☢▼ࢆ⏝࠸࡚ᰯṇࡉࢀ࡚࠸ࡿࠋࡇࡢ Harmonic ࢥ࢖ࣝࡣࠊ㟁☢▼㍈᪉ྥࡢ☢ሙศᕸࢆ ᐃࡍࡿࡶࡢ
࡛࠶ࡿࡀࠊ☢▼඲యࡢ✚ศ☢ሙࢆᐃࡍࡿHarmonic ࢥ࢖ࣝࡶ࠶ࡾࠊࡇࡢࢥ࢖ࣝࡢ㛗ࡉࡣࠊ
Lc=600 mm ࡛࠶ࡿࠋSuperKEKB ㉸ఏᑟ㟁☢▼ࢩࢫࢸ࣒ࡢ☢ሙ ᐃ࡟౑⏝ࡉࢀࡓ Harmonic ࢥ࢖ࣝࢆ⾲ 12 ࡟♧ࡋࡓࠋࡇࢀࡽࡢ☢ሙ ᐃ⏝ࢥ࢖ࣝࡣ඲
࡚ KEK ෆ࡛〇సࡉࢀࠊᰯṇࡉࢀ࡚࠸ࡿࠋ

ᐃ䠖Single Stretched Wire (SSW)䚹㉥⥺䛜 Be-Cu ⥺䚹㸳㸫 17㉸ఏᑟ  ᴟ㟁☢▼ࡣࢡࣛ࢖࢜ࢫࢱࢵࢺෆ࡟⤌㎸ࡲࢀࡿࡢ࡛ࠊᖖఏᑟ㟁☢▼ࡢࡼ࠺࡟☢ሙ୰ᚰࢆᶵ
Ეⓗ࡞እ㒊ᇶ‽Ⅼ࡛⨨ࡁ᥮࠼ࡿࡇ࡜ࡣ㠀ᖖ࡟㞴ࡋ࠸ࠋ㉸ఏᑟ 4 ᴟ㟁☢▼ࡣࠊ࣒࣊ࣜ࢘ᐜჾ࣭ࢡࣛ
࢖࢜ࢫࢱࢵࢺෆ࡟⤌㎸ࡲࢀࡿࡢ࡛┤᥋ගᏛⓗᡭἲ࡛㟁☢▼࡟ࡘࡅࡓᇶ‽Ⅼࢆᐃࡍࡿࡇ࡜ࡀ࡛

ࡁ࡞࠸࠿ࡽ࡛࠶ࡿࠋ
4 ᴟ☢ሙ୰ᚰ఩⨨ࢆᐃࡍࡿࡓࡵ࡟ࠊSingle

Stretched Wire㸦SSW㸧࡜࿧ࡤࢀࡿ⿦⨨ࢆ⏝࠸ࡿࠋࡇࡢ☢ሙ ᐃ᪉ᘧࡣࠊⱥㄒ⾲グࡑࡢࡶࡢ࡛ຍ㏿ჾ⏝㟁☢▼ෆ⟄࡟ᙇࡽࢀࡓ 1 ᮏࡢ㔠ᒓ⥺ࢆ⢭ᗘࡼࡃ⛣ືࡋ☢᮰ࡢኚ໬㔞ࢆᐃࡍࡿࡇ࡜࡛┤᥋☢ሙ୰ᚰࢆ ᐃࡍࡿ᪉ἲ࡛࠶ࡿࠋᐇ ࡛ࡣᅗ 25 [9] ࡟♧ࡍࡼ࠺࡟ࠊ┤ᚄ 0.1 mm ࡢ Be-Cu ࡢ⥺ࢆ 2 ྎࡢ࣐ࢢࢿࢵࢺࢡࣛ࢖࢜ࢫࢱࢵࢺᚋ᪉࠿ࡽᨭᣢࡋࠊタィࣅ࣮࣒ࣛ࢖ࣥ࡟㓄⨨ࡍࡿࠋ4 ྎࡢ㉸ఏᑟ 4 ᴟ㟁☢▼ࡢ☢ሙ୰ᚰࢆ 1 ᮏࡢ Be-Cu ⥺࡛ ᐃࡍࡿࠋᐃ᫬࡟ࡣྛ 4 ᴟ㟁☢▼ࡀ༢⊂࡛ບ☢ࡉࢀࡿࠋBeCu ⥺ࡢ㛗ࡉࡣ 8.7 m ࠶ࡾࠊ㔜ຊ࡟ࡼࡾ Be-Cu ⥺ࡣᆶࢀୗࡀࡿࡀࠊࡇࡢຠᯝࡣ⿵ṇࡍࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿࠋ 4 ᴟ㟁☢▼☢ሙᙉᗘ࡜ㄗᕪ☢ሙ㉸ఏᑟ 4 ᴟ㟁☢▼ࡢ☢ሙࡢᙉᗘࡣࠊࡇࡢ☢▼ࡀSuperKEKB ࡢࣅ࣮࣒᭱⤊㞟᮰ࢆ⾜࠺ࡇ࡜࠿ࡽ㧗࠸⢭ᗘ࡛ ᐃࡉࢀࡿࡇ࡜ࡀせồࡉࢀ࡚࠸ࡿࠋ☢ሙ
ᐃࡣ 5.2.1 ࡛♧ࡋࡓ Harmonic ࢥ࢖ࣝࢆ⏝࠸࡚⾜ࡗࡓࠋ✚ศ 4 ᴟ☢ሙࡢ㟁ὶ࡟ᑐࡍࡿኚ໬ࢆᅗ 26 ࡟♧ࡋࡓࠋࣉࣟࢵࢺࡢ⦪㍈ࡣࠊTransfer 㛵ᩘ㸦TF㸧
࡜࿧ࡤࢀࡿࡶࡢ࡛ࠊ ᐃࡉࢀࡓ 4 ᴟ☢ሙࢆ㟁ὶ್࡛๭ࡗࡓ್࡛࠶ࡿࠋ
TF ࡣࠊ௨ୗࡢᘧ࡛ᐃ⩏ࡉࢀࡿࠋ

⾲ 13㉸ఏᑟ 4 ᴟ㟁☢▼ TF

㟁☢▼

㟁ὶ
kA

TF cal.

TF
meas.

TF upramp

TF dwramp

QC1LP
QC1RP
QC1LE
QC1RE
QC2LP
QC2RP
QC2LE
QC2RE

1.70
1.70
1.70
1.70
0.9
0.9
1.00
1.00

14.15
14.15
17.08
17.08
13.10
13.10
15.63
10.34

14.38
14.36
17.06
17.02
12.97
12.97
15.26
10.47

14.38
14.36
17.06
17.02
12.97
12.97
15.26
10.46

14.38
14.36
17.06
17.02
12.98
12.97
15.27
10.48

ᅗ 26 ㉸ఏᑟ 4 ᴟ㟁☢▼䛾 4 ᴟ☢ሙᙉᗘ䛾㟁ὶ್౫Ꮡᛶ䚹ᅗ୰䚸▮༳䛿㟁ὶኚ໬䛾᪉ྥ䜢♧䛧䛶䛔䜛䚹ܶ‫ ܨ‬ൌ ‫ܤ ׬‬ଶൗ‫    ܫ‬㸦16㸧ᅗ 26 ࡟♧ࡍࡼ࠺࡟ࠊ㉸ఏᑟࢣ࣮ࣈࣝࡢ☢໬ࡢᙳ㡪࡟ࡼࡾ㟁☢▼ࡢບ☢࡜ᾘ☢ࡢ᪉ྥ࡟ࡼࡾ TFࡢ ್ ࡣ 㐠 ㌿ 㟁 ὶ ㏆ ࡃ ࡛ 0.1% ⛬ ᗘ ␗ ࡞ ࡿ ࠋSuperKEKB ࣅ࣮࣒㐠㌿࡛ࡣࠊ㠀ᖖ࡟㧗࠸⢭ᗘ࡛☢

㸳㸫 18ሙࢆసࡿࡇ࡜ࡀせồࡉࢀࡿࡇ࡜࠿ࡽࠊ㟁☢▼ࡢ㟁
ὶ್ࡣ 0A ࠿ࡽࣅ࣮࣒㐠㌿࡛౑⏝ࡉࢀࡿ㟁ὶ್ࡲ࡛ୖ᪼ࡍࡿ᫬ࡢ TF-I ᭤⥺ࢆ⏝࠸࡚ᐃ⩏ࡋ࡚࠸ࡿࠋ
⾲ 13 ࡟ࡣࠊ☢ሙ ᐃࡢ௦⾲್ࢆ♧ࡋࡓࠋィ⟬್࡜ẚ㍑ࡋ࡚ࠊQC1P ࡛ࡣ 1%ࠊQC1E 0.4%ࠊQC2P
1%ࠊQC2LE 2.4%ࠊQC2RE 1.2%ࡢㄗᕪࡀ࠶ࡿࠋࡇ
ࡢㄗᕪࡣࠊ㟁☢▼〇స࣭⤌❧ㄗᕪ࠿ࡽㄏᑟࡉࢀࡓ
࡜⪃࠼࡚࠸ࡿࠋ
4 ᴟ㟁☢▼ࡢ✚ศ☢ሙ್࡟ྵࡲࢀࡿከᴟᡂศ࡟
ࡘ࠸࡚ࡶ ᐃ್࠿ࡽゎᯒࡉࢀࠋ⤖ᯝࡣᅗ 27 ࡟♧ࡋࡓࠋከᴟᡂศࡣࠊᶓ㍈ n ್࡛♧ࡉࢀࠊn=3 ࡣ 6ᴟ☢ሙ㸦2n㸧ᡂศ࡟ᑐᛂࡋࠊࣉࣟࢵࢺ࡛ࡣ 20 ᴟ☢
ሙᡂศ㸦n=10㸧ࡲ࡛ࡀ♧ࡉࢀ࡚࠸ࡿࠋࡲࡓࠊྛ 2nᴟ࡟ᑐࡋ࡚ an ࡣ skew ᡂศࠊbn ࡣ normal ᡂศࢆ♧ࡋ࡚࠸ࡿࠋ㉸ఏᑟ 4 ᴟ㟁☢▼ࡣࠊBelle-II ࢯࣞࣀ࢖ࢻ࡜⿵ṇࢯࣞࣀ࢖ࢻࡢྜᡂ☢ሙࡢ୰࡛ບ☢ࡉࢀࡿࡇ࡜࠿ࡽࠊࡑࡢᙳ㡪ࢆ☜ㄆࡍࡿࡓࡵ࡟ࢯࣞࣀ࢖
ࢻ☢ሙ᭷࣭↓ࡢ᮲௳࡛ ᐃࡋࡓ⤖ᯝ࡟ࡘ࠸࡚ࡶ♧ࡋࡓࠋᅗ୰࡛ࡣࠊࢯࣞࣀ࢖ࢻ☢ሙ᭷ࡀࠕwith S.F.ࠖ
࡛ࠊࢯࣞࣀ࢖ࢻ☢ሙ↓ࡋࡀࠕwithout S.F.࡛ࠖ♧ࡋࡓࠋ8 ྎࡢ㉸ఏᑟ 4 ᴟ㟁☢▼࡛᭱ࡶຍ㏿ჾࣅ࣮࣒⾪✺ᛶ⬟࣭ࣅ࣮࣒㐠㌿࡟ᙳ㡪ࢆᣢࡘ QC1P ࡜ QC1E
ࡢ☢ሙᛶ⬟࡟ࡘ࠸࡚ඛࡎㄝ᫂ࡍࡿࠋᅗ 27 ࠿ࡽࢃ࠿ࡿࡼ࠺࡟ n=3 ࡢ 6 ᴟ☢ሙᡂศ௨እࡣ 1 units ௨ୗ࡛࠶ࡿࠋࡲࡓࠊ㧗ḟࡢከᴟ☢ሙᡂศࡣࠊࢯࣞࣀ
࢖ࢻ☢ሙࡢ᭷↓࡛኱ࡁ࡞ኚ໬ࡣ࡞࠸ࠋ6 ᴟ☢ሙᡂศࡣࠊ☢ᛶ࣮ࣚࢡࡀྲྀ௜ࡅࡽࢀ࡚࠸ࡿ QC1E ࡟࠾࠸࡚ࡣ኱ࡁ࡞ᙳ㡪ࡣぢࡽࢀ࡞࠸ࠋ ᐃ⤖ᯝ࠿ࡽࠊࢯࣞࣀ࢖ࢻ☢ሙࡀ㔜␚ࡉࢀࡓሙྜ࡛ࡶ a3ࠊb3 ඹ࡟
1 units ௨ୗ࡛࠶ࡿࠋQC1P ࡣࠊࣅ࣮࣒ࣛ࢖ࣥୖ࡛
~2.5T ࡢࢯࣞࣀ࢖ࢻ☢ሙࡀ༳ຍࡉࢀࡿࡢ࡛ࡑࡢᙳ
㡪ࡣ኱ࡁ࠸ࠋQC1RP ࡛ࡣࠊࢯࣞࣀ࢖ࢻ☢ሙࡀ࡞࠸≧ែ࡛ࡣ a3ࠊb3 ࡣ 1.5 units ࡛࠶ࡿࡀࠊQC1RP ࡢࣅ࣮࣒ࣛ࢖ࣥୖࡢࢯࣞࣀ࢖ࢻ☢ሙ࡟ྵࡲࢀࡿ 6 ᴟ☢
ሙᡂศ࡟ࡼࡾ࢟ࣕࣥࢭࣝࡉࢀ 1 units ௨ୗࡲ࡛ᑠࡉ
ࡃ࡞ࡗ࡚࠸ࡿࠋ㏫࡟ࠊQC1LP ࡛ࡣࢯࣞࣀ࢖ࢻ☢ሙ↓࠸≧ែ࡛ a3= 0.14 unitsࠊb3= í1.15 units ࡛࠶ࡿࡢ࡟ᑐࡋ࡚ࠊࢯࣞࣀ࢖ࢻ☢ሙࡀ༳ຍࡉࢀࡿ࡜ a3=
í0.07 unitsࠊb3=í1.74 units ࡜ b3 ࡀ 1 units ࢆ㉸࠼ࡿ್࡜࡞ࡗ࡚࠸ࡿࠋࡇࡢ್ࡣࠊࣅ࣮࣒ࣛ࢖ࣥ࡟⤌ᅗ 27㉸ఏᑟ 4 ᴟ㟁☢▼䛾ከᴟ☢ሙᡂศ

㸳㸫 19

㎸ࡲࢀ࡚࠸ࡿ b3 ⿵ṇ㟁☢▼࡛⿵ṇ࡛ࡁࡿࡇ࡜ࡀ
☜ㄆࡉࢀ࡚࠸ࡿࠋ
௨ୖㄝ᫂ࡋ࡚ࡁࡓ☢ሙ⢭ᗘࡢせồࡀᐇ㝿ࡢ 4 ᴟ㟁☢▼࡟࠾࠸࡚ࡣࠊ࡝ࡢ⛬ᗘࡢ〇సㄗᕪ࡟┦ᙜࡍࡿࡢ࠿ࢆ௨ୗ࡟ㄝ᫂ࡍࡿࠋ௨ୗࡢ஦㇟ࡣࠊQC1P ࡜
QC1E ࡢࣉࣟࢺࢱ࢖ࣉ〇స᫬࡟ᐇ㝿࡟⤒㦂ࡋࡓෆᐜ࡛࠶ࡿࠋ
4 ᴟ㟁☢▼タィࡢ⠇࡛☢▼ࡢࣃ࣓࣮ࣛࢱ࡟ࡘ࠸
࡚ㄝ᫂ࡋࡓࡀࠊ㉸ఏᑟ 4 ᴟ㟁☢▼ࡣࠊᖜ 2.5 mm ࡢ㉸ఏᑟࢣ࣮ࣈࣝࢆ౑⏝ࡋ࡚࠸ࡿࠋ2 ᒙ࡛ᵓᡂࡉࢀ
ࡿ㉸ఏᑟࢥ࢖ࣝࡢཌࡳࡣ⤯⦕㒊ࡶྵࡵ࡚ࡶ 5.4mm ࡛࠶ࡿࠋ㉸ఏᑟࢥ࢖ࣝᙧ≧ࡣࠊ෭༷࡟ࡼࡿ⇕ᅗ 28

QC1E ㉸ఏᑟ䝁䜲䝹➃㒊ኚᙧ཰⦰࡜ບ☢୰ࡢ㟁☢ຊࢆ⪃៖ࡋ࡚ࠊ㟁☢▼⤌❧᫬࡟ᅽ⦰ᛂຊࢆຍ࠼ࡿࠋQCS ࡢ㉸ఏᑟ 4 ᴟ㟁☢▼࡛ࡣࠊ⤌❧᫬࡟ 30MPa ࡢᅽຊࢆ࠿ࡅࡿタィ࡟࡞ࡗ࡚࠸ࡓࠋࡇࡢᅽຊࡣࠊ㉸ఏᑟࢣ࣮ࣈࣝࡢࣖࣥࢢ⋡㸦E㸧࡜ࢥ࢖ࣝ/㟁☢▼タィ࡟ࡼࡾィ⟬ࡉࢀࡿࡀࠊࣉࣟࢺ
ࢱ࢖ࣉタィ᫬࡟ࡣ E=648 MPa ࡀ⏝࠸ࡽࢀࡓࠋ
QC1E ࡜ QC1P ࣉࣟࢺࢱ࢖ࣉ〇సᚋࠊ☢ሙ ᐃࢆ⾜࠸ᚓࡽࢀࡓ㧗ḟࡢㄗᕪ☢ሙࢆ⾲ 14 ࡟♧ࡋࡓࠋᐃ⤖ᯝ࠿ࡽࡣࠊ4 ᴟ㟁☢▼ࡀ cos(2T)㟁ὶศᕸࢆᣢࡘሙྜ࡟タィୖⓎ⏕ࡍࡿ㧗ḟ☢ሙᡂศ㸦b6ࠊb10㸧௨እࡢㄗᕪ☢ሙᡂศࡀ ᐃࡉࢀࠊ≉࡟〇సࡉࢀࡓࣉࣟࢺࢱ࢖ࣉࡣ 1 units ௨ୖࡢ 6 ᴟ☢ሙᡂศ㸦a3ࠊ
b3㸧ࢆᣢࡘࡇ࡜ࡀศ࠿ࡗࡓࠋࣅ࣮࣒ගᏛࢢ࣮ࣝࣉࡢ᳨ウ࡟ࡼࡾࠊࡇࡢ 6 ᴟ☢ሙᡂศࡣࣅ࣮࣒ࣛ࢖ࣇ

ᅗ 29 QC1E ㉸ఏᑟ䝁䜲䝹ኚᙧゎᯒࢱ࢖࣒࡟ⴭࡋࡃᙳ㡪ࡋࠊࣛ࢖ࣇࢱ࢖࣒ࢆ▷ࡃࡍࡿࡓㄪᰝ࡜ 4 ᴟ㟁☢▼ෆ㒊ࡢࢥ࢖ࣝࡢኚᙧ࣮ࣔࢻゎࡀุ᫂ࡋࡓࠋ
6 ᴟ☢ሙᡂศࡢⓎ⏕※ࢆ≉ᐃࡍࡿࡓࡵࠊࡇࢀࡲ

ᯒࢆ⾜ࡗࡓࠋ
ᅗ 28 ࡢ㉸ఏᑟࢥ࢖ࣝ〇సࡢ෗┿࠿ࡽࠊࢥ࢖࡛ࣝ〇సࡋ࡚ࡁࡓ〇స㐣⛬ࡢࢥ࢖ࣝࡢ෗┿ࢆ⏝࠸➃㒊ࢫ࣮࣌ࢧ࣮࡟ຍᕤࡉࢀࡓᅛᐃ⏝✰ࡀᴃ෇࡟⾲ 14 QC1P 䛸 QC1E 䝥䝻䝖䝍䜲䝥ㄗᕪ☢ሙ
䠄 ᐃ್䠅
n
2
3
4
5
6
7
8
9
10

QC1P Rref=10mm
an
bn
0
10000
2.82
3.66
2.08
0.24
0.35
0.23
0.03
-0.59
0.07
0.13
0.03
0.01
-0.08
0.05
0.02
0.01

QC1E Rref=15mm
an
bn
0
10000
1.78
8.59
0.44
-0.68
0.23
-1.83
-0.39
-1.85
-0.09
0.10
0.69
-0.02
0.51
-0.09
-0.10
-0.62

ኚᙧࡋ࡚࠸ࡿࡇ࡜ࡀศ࠿ࡾࠊ㐣኱࡞ᅽ⦰ࡀࢥ࢖ࣝ
࡟ຍ࠼ࡽࢀࡓࡇ࡜ࡀ᥎ᐃࡉࢀࡓࠋࡲࡓࠊ㉸ఏᑟࢣ࣮ࣈࣝࡢࣖࣥࢢ⋡ E ࡢ ᐃࢆ⾜࠸ࠊᐇ ್ࡣ E=8
GPa ࡛࠶ࡿࡇ࡜ࡀุ᫂ࡋࡓࠋ㟁☢▼タィ᫬ࡢᶵᲔⓗ࡞ࣃ࣓࣮ࣛࢱࡢ୙ලྜ࠿ࡽ 4 ᴟ㟁☢▼⤌❧᫬࡟㉸ఏᑟࢥ࢖ࣝ࡟㐣኱࡞ᛂຊࢆ୚࠼ࠊࢥ࢖ࣝࢆኚᙧ
ࡉࡏࡓ࡜⪃࠼ࡽࢀࡿࠋ
ࢥ࢖ࣝኚᙧゎᯒ࡛ࡣࠊ4 ࡘࡢࢥ࢖ࣝ࡟ᅗ 29 ࡟♧ࡍᴃ෇ኚᙧࢆⓎ⏕ࡋ࡚࠸ࡓሙྜࠊ☢ሙ ᐃ࡛ほࡉࢀࡓ㧗ḟ☢ሙᡂศࢆ෌⌧ࡍࡿࡇ࡜ࡀศ࠿ࡗࡓࠋ
⾲ 15 ࡟ 2 ࡘࡢ༙ᚄ᪉ྥࡢࢩࣇࢺ㔞㸦'r㸧࡟ࡘ࠸࡚㸳㸫 20ⓗࢧ࢖ࢬࡣࠊᶆ‽ 2 ᴟࠊ4 ᴟࠊ6 ᴟᖖఏᑟ㟁☢▼࡛

⾲ 15 QC1E ᩿㠃䜢ᶍᨃ䛧䛯䝁䜲䝹ኚᙧホ౯
n
2
3
4
5

'r=50 Pm
an
bn
0
10000
0
13.62
0
0
0
-1.63

ᰯṇࡉࢀ࡚࠸ࡿࠋ

'r=20 Pm
an
bn
0
10000
0
5.45
0
0
0
-0.65

ࡇࡢ☢ሙ ᐃჾࢆ⏝࠸࡚ ᐃࡉࢀࡓ QC1LP㸦ᐇᶵ㸧ࡢ☢ሙศᕸࢆᅗ 30 ࡟♧ࡋࡓࠋQC1LP ࡢ㟁ὶ್ࡣ 1625A ࡛࠶ࡿࠋQCS-L ࢡࣛ࢖࢜ࢫࢱࢵࢺࢆࣅ
࣮࣒ࣛ࢖ࣥ࡟ᤣ࠼௜ࡅᚋࠊHarmonic ࢥ࢖ࣝࢆࣅ࣮
࣒㍈᪉ྥ࡟ 5 mm 㛫㝸࡛⛣ືࡋ☢ሙᐃࢆ⾜ࡗࡓࠋBelle-II ࢯࣞࣀ࢖ࢻ࡜⿵ṇࢯࣞࣀ࢖ࢻࡶບ☢ࡉ♧ࡋࡓࠋゎᯒ⤖ᯝ࠿ࡽࠊࢥ࢖ࣝ࡟ᅗ 29 ࡢᴃ෇ኚᙧ

ࢀࠊࡑࡢᙳ㡪ࡶㄪ࡭ࡽࢀࡓࠋ

ࡀ⏕ࡌࡓሙྜࠊ6 ᴟ࡜ 10 ᴟ☢ሙᡂศࡀㄏ㉳ࡉࢀࡿᅗ୰࡟♧ࡋࡓࣉࣟࢵࢺࡣࠊᶓ㍈ࡀタィୖࡢࣅ࣮ࡇ࡜ࡀศ࠿ࡿࠋࡇࡢኚᙧࡣࠊQC1E ࣉࣟࢺࢱ࢖ࣉ

࣒⾪✺Ⅼ࠿ࡽࡢ఩⨨ࢆ♧ࡋ࡚࠸ࡿࠋࡇࡢࣉࣟࢵࢺ

ࡢ☢ሙ

ᐃࡉࢀࡓ

࡛ࡣࠊ⦪㍈ࡣ༙ᚄ Rref ࡛ࡢ☢ሙࡢ್࡛♧ࡋ࡚࠸ࡿࠋ

b3=8.59 units ࡀᴃ෇ኚᙧ࡟౫ࡿࡶࡢ࡜ࡍࡿ࡜༙ᚄ

⾲♧ࡣ AnࠊBn ࢆ⏝࠸࡚࠸ࡿࠋຍ㏿ჾࣅ࣮࣒ࣛ࢖ࣥ

ᐃ⤖ᯝ࡜ࡶ୍⮴ࡍࡿࠋ௬࡟

᪉ྥࡢኚᙧ㔞ࡣ'r=31.5 Pm ࡜ィ⟬ࡉࢀࠊࡇࢀ࡟ࡼ
ࡗ࡚ b5=í1.02 units ࡶⓎ⏕ࡍࡿࠋගᏛࢢ࣮ࣝࣉ࠿ࡽࡢせồࡉࢀ࡚࠸ࡿ 1 units ௨ୗ࡟ 6 ᴟ☢ሙᡂศࢆప
ῶࡍࡿࡓࡵ࡟ࡣࠊ༙ᚄ᪉ྥࡢࢥ࢖ࣝ఩⨨ࡢ⤌❧ㄗ
ᕪࢆr4 Pm ௨ୗ࡟ࡍࡿᚲせࡀ࠶ࡿࠋ௨ୖࡢ☢ሙ ᐃ⤖ᯝ࡜ࡑࢀ࡟ࡼࡾホ౯ࡉࢀࡓ 4ᴟ㟁☢▼ࡢ⤌❧⢭ᗘࡢ㠀ᖖ࡟ཝࡋ࠸せồ࠿ࡽࠊᙜึࠊ㉸ఏᑟ⿵ṇ㟁☢▼ࢩࢫࢸ࣒࡟ࡣ 6 ᴟ⿵ṇ☢▼ࡣ⤌ࡳ㎸ࡲࢀ࡚࠸࡞࠿ࡗࡓࡀࠊࡑࡢ᫬Ⅼ࡛〇సࢆ㛤ጞࡋ࡚࠸࡞࠿ࡗࡓ QCS-R ࡢ⿵ṇ㟁☢▼࡟ 6 ᴟ㟁☢▼ࢆ⤌㎸ࡴࡇ࡜࡟࡞ࡗࡓࠋ
 4 ᴟ㟁☢▼ෆ☢ሙศᕸࣅ࣮࣒᭱⤊㞟᮰⏝㉸ఏᑟ 4 ᴟ㟁☢▼ෆࡢࣅ࣮࣒
ࣛ࢖ࣥୖ࡛ࡣࣅ࣮࣒ࢧ࢖ࢬࡀ኱ࡁࡃኚ໬ࡍࡿࡇ
࡜࠿ࡽࠊ4 ᴟ㟁☢▼㍈࡟ἢࡗࡓ 4 ᴟ☢ሙ࡜ከᴟ☢
ሙᡂศࡢศᕸࢆ⏝࠸ࡓࣅ࣮࣒ගᏛタィࢆ⾜࠺ᚲせࡀ࠶ࡿࠋࡲࡓࠊ㉸ఏᑟ 4 ᴟ㟁☢▼ࡢ≀⌮ⓗ࡞㛗ࡉࡀ㠀ᖖ࡟▷ࡃ 4 ᴟ㟁☢▼㍈࡟ἢࡗࡓ 4 ᴟ☢ሙᙉᗘ࡟࠾࠸࡚ࡶ୍ᐃࡢ㒊ศࡀᑡ࡞࠸ࡓࡵࠊຍ㏿ჾࣅ࣮࣒⾪✺Ⅼタィ࡛ࡣ〇సᙧ≧ࡢ 4 ᴟ㟁☢▼ࡢ 3 ḟඖࣔࢹࣝࢆ〇సࡋࠊࡇࡢࣔࢹࣝࡢసࡿ☢ሙศᕸࢆ⏝࠸࡚ගᏛタィࢆ⾜ࡗࡓࠋ〇సࢆ᏶஢ࡋࡓ㉸ఏᑟ
4 ᴟ㟁☢▼ࡢ☢ሙࡢศᕸࡣࠊ㛗ࡉࡀ 20 mm ࡢ
Harmonic ࢥ ࢖ ࣝ ࢆ ⏝ ࠸ ࡚ᐃࡉࢀࡓࠋࡇࡢ

Harmonic ࢥ࢖ࣝࡣࠊᅗ 24 ࡟♧ࡋ࡚࠸ࡿࠋ☢ሙᙉᗘࡢᑠࡉ࠸㧗ḟࡢከᴟ☢ሙᡂศࢆ㧗⢭ᗘ࡛ᐃࡍࡿࡓࡵࠊTangential ࢥ࢖ࣝࡣ┤ᚄ 60 Pm ࡢ㖡⥺ࢆ 120 ࢱ࣮ࣥᕳ࠸࡚〇సࡋࡓࠋࢥ࢖ࣝ඲యࡢᐇຠ

㸳㸫 21

ᅗ 30 QC1LP 4 ᴟ㟁☢▼㍈䛻ἢ䛳䛯☢ሙศᕸࡢᗙᶆ⣔ࢆ⏝࠸࡚࠸ࡿࡓࡵࠊࣉࣟࢵࢺࡢྑഃ࡟ IP࢖ࣝ୧➃࡟ᣢࡕࠊࡇࡢ㒊ศࡢᙧ≧ࢆタィ㏻ࡾ࡟స

㸦Z=0㸧ࡀ఩⨨ࡍࡿࠋ⦪㍈ࡣ QC1P ࡢホ౯༙ᚄ Rrefࡿࡇ࡜ࡣᴟࡵ࡚ᅔ㞴࡛࠶ࡾࠊࡑࡢ⤖ᯝࠊࢥ࢖ࣝ୧

= 10 mm ࡢ఩⨨࡛ࡢ☢ሙᙉᗘࢆ♧ࡋ࡚࠸ࡿࠋ᭱ୖ

➃㒊࡟┦ᙜࡍࡿ఩⨨࡛ᒁ㒊ⓗ࡟኱ࡁ࡞ 6 ᴟ☢ሙࡢẁ࡟♧ࡉࢀ࡚࠸ࡿ B2 ࡣ 4 ᴟ☢ሙࢆ♧ࡋ࡚࠸ࡿࠋࣉศᕸࡀ ᐃࡉࢀ࡚࠸ࡿࠋ

ࣟࢵࢺࡢ୰࡛ࠊᐇ⥺㸦㯮㸧ࡣタィ್ࠊ‫ە‬㸦㉥㸧ࡣࢥ࢖ࣝ➃㒊ࡢ㉸ఏᑟࢣ࣮ࣈࣝྲྀࡾฟࡋഃ࡛ࡣ

Belle-II ࢯࣞࣀ࢖ࢻບ☢୰࡛ࡢ ᐃ್ࠊ㸦㟷㸧ࡣࢥ࢖ࣝࡢᑐ⛠ᛶࡀ 4 ᴟᑐ⛠࡜ࡣ࡞ࡽ࡞࠸タィ࡜ࡋ

Belle-II ࢯࣞࣀ࢖ࢻບ☢↓࡛ࡢ࡚࠸ࡿࡢ࡛ B4 ᡂศࡀタィୖసࡽࢀࡿࠋࡇࡢ B4 ᡂᐃ್ࢆ♧ࡋ࡚࠸

ࡿࠋࣉࣟࢵࢺ࡛♧ࡉࢀࡿᐇᶵࡢ 4 ᴟ☢ሙศᕸࡣタศࡢ☢▼㍈࡟ἢࡗࡓศᕸࡶ

ィ್ࢆ࡯ࡰ෌⌧ࡋ࡚࠸ࡿࡇ࡜ࡀศ࠿ࡿࠋࡲࡓࠊࢯࡿࠋ
12 ᴟ☢ሙ㸦B6㸧ࡣタィ᫬࡟ࢥ࢖ࣝ➃㒊࡛ࣉࣟࢵࣞࣀ࢖ࢻ☢ሙࡢ᭷↓ࡢᙳ㡪ࡶᑠࡉ࠸ࠋ௚ࡢ㧗ḟ☢
ሙᡂศࡢᐃ⤖ᯝ࡟ࡘ࠸࡚ࡶྠᵝࡢ᪉ἲ࡛♧ࡋᐃ࡛☜ㄆࡉࢀ࡚࠸

ࢺ࡟♧ࡍศᕸࡀసࡽࢀࡿࡀࠊࡑࡢศᕸࡢᙧࡣ ᐃࡉࢀ࡚࠸ࡿࠋᅗ 30 ࡛ࡣୖグࡢ୺ᡂศࡢ 4 ᴟ☢ሙ࡚࠶ࡿࠋ
6 ᴟ☢ሙᡂศ㸦A3ࠊB3㸧ࡣタィࣔࢹ࡛ࣝࡣࢮ࡛ࣟ

ࡢศᕸ࡜ 6 ᴟࠊ8 ᴟࠊ12 ᴟ☢ሙࡢศᕸࢆ♧ࡋࡓࡀࠊ

࠶ࡿࡀࠊ5.2.2.ࡢ QC1P/E ࣉࣟࢺࢱ࢖ࣉ〇స஦౛࡛20 ᴟ☢ሙࡲ࡛ࡢ☢ሙศᕸࢹ࣮ࢱࢆගᏛࢢ࣮ࣝࣉ

ࡶ♧ࡋࡓࡼ࠺࡟ 4 ᴟࢥ࢖ࣝࡢ⤌❧ㄗᕪ࠿ࡽࡶᐜ᫆

࡟ሗ࿌ࡋࠊ㐠㌿ୖࡢၥ㢟Ⅼࢆ᳨ド୰࡛࠶ࡿࠋ

࡟ฟ⌧ࡋࡸࡍࡃࠊᐇᶵࡢ QC1LP ࡛ࡶࣉࣟࢵࢺ࡟

㛗ࡉ 20mm ࡢ Harmonic coil ࢆ⏝࠸ࡓ☢ሙ ᐃ♧ࡍ☢ሙศᕸࢆᣢࡗ࡚࠸ࡿࠋࡲࡓࠊ㉸ఏᑟࢥ࢖ࣝ

⤖ᯝࡼࡾࠊBelle-II ࢯࣞࣀ࢖ࢻ࡜ QCS ⿵ṇࢯࣞࣀ

ࡣᅗ 28㸦ࡇࡢሙྜ QC1E㸧࡟♧ࡍࢥ࢖ࣝ➃㒊ࢆࢥ࢖ࢻ㛫࡛Ⓨ⏕ࡍࡿ㟁☢ຊ࡟ࡼࡿ㉸ఏᑟ㟁☢▼ࢆ᱁⣡ࡋࡓ࣒࣊ࣜ࢘ᐜჾࡢࢡࣛ࢖࢜ࢫࢱࢵࢺ㍈᪉ྥࡢືࡁࢆホ౯ࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋࢯࣞࣀ࢖ࢻ㛫
࡟Ⓨ⏕ࡍࡿ㟁☢ຊ࡟ࡘ࠸࡚ࡣࠊ⿵ṇࢯࣞࣀ࢖ࢻࡢ
❶࡛ㄝ᫂ࢆࡍࡿࠋ
ᅗ 30 ࡢ B2 ᡂศࡢኚ໬ࡀ኱ࡁ࠸㒊ศࡢ Z ㍈᪉ྥ
ࢆᣑ኱ࡋࡓࣉࣟࢵࢺࢆᅗ 31 ࡟♧ࡋࡓࠋ‫⥺┤ࢆە‬࡛⤖ࢇࡔ⥺ࡀࢯࣞࣀ࢖ࢻບ☢୰ࡢ QC1LP ࡢࢥ࢖ࣝ➃㒊࡛ࡢ㟁☢▼㍈࡟ἢࡗࡓኚ໬ࢆ♧ࡋ࡚࠸ࡿࠋ
ࢯࣞࣀ࢖ࢻ☢ሙࡀ࡞࠸ሙྜࡢ ᐃ್㸦㸧࡜ẚ㍑
ࡍࡿ࡜ QC1LP ࡣ IP ࠿ࡽ㞳ࢀࡿ᪉ྥ࡟ࢩࣇࢺࡋ࡚

ᅗ 31࠸ࡿࡇ࡜ࡀศ࠿ࡿࠋᑦࠊࢯࣞࣀ࢖ࢻ☢ሙࡢ↓࠸

QC1LP 䝁䜲䝹➃㒊☢ሙศᕸ䠄ᣑ኱∧䠅

QC1LP ࡢᐃ್ࡣタィ್࡟㠀ᖖ࡟ṇ☜࡟୍⮴ࡋ

࡚࠾ࡾࠊQC1LP ࡀࣅ࣮࣒㐍⾜᪉ྥ࡟ᑐࡋ࡚ࡣṇࡋ

⾲ 16 ㉸ఏᑟ 4 ᴟ㟁☢▼䛾䝋䝺䝜䜲䝗☢ሙ㟁☢
ຊ䛻䜘䜛ኚ⛣ࡃタ⨨ࡉࢀࡓࡇ࡜ࡀศ࠿ࡿࠋ㟁☢ຊ࡟ࡼࡿ 4 ᴟ㟁

㟁☢▼

タィ
mm

wo SF
mm

w SF
mm

'EMF
mm

'D
mm

☢▼ࡢࣅ࣮࣒㍈᪉ྥ࡬ࡢኚ఩㔞ࢆ⾲ 16 ࡟♧ࡋࡓࠋ

QC2LE
QC2LP
QC1LE
QC1LP
QC1RP
QC1RE
QC2RP
QC2RE

-2700
-1925
-1410
-935
935
1410
1925
2925

-2700.5-1924.2-1411.8-934.5935.0
1409.8
1925.22925.8-2700.7-1927.1-1413.5-936.9935.91410.7
1926.12925.9

-0.2
-2.9
-1.7
-2.4
0.9
0.9
0.9
0.1

-0.7
-2.1
-3.5
-1.9
0.9
0.7
1.1
0.9

㟁☢▼ࡣࠊࢯࣞࣀ࢖ࢻ☢ሙ࡟ࡼࡿ㟁☢ຊࡢᙳ㡪ࢆ

QCS-R ࢡࣛ࢖࢜ࢫࢱࢵࢺ࡟⤌㎸ࡲࢀࡓ㉸ఏᑟ 4 ᴟྵࡵ࡚ࡶタィ್࠿ࡽ 1 mm ⛬ᗘࡢㄗᕪ࡜࡞ࡗ࡚࠸
ࡿࡀࠊQCS-L ࢡࣛ࢖࢜ࢫࢱࢵࢺෆࡢ㉸ఏᑟ 4 ᴟ㟁☢▼ࡣ 2 mm ௨ୖࡢኚ఩ࡀ࠶ࡿࡇ࡜ࡀศ࠿ࡗࡓࠋ
QCS-L ࡢ 2 ྎࡢ࣒࣊ࣜ࢘ᐜჾࡢ࠺ࡕࠊIP ഃ࡟⤌㎸
ࡲࢀࡓ 4 ᴟ㟁☢▼࡟࠾࠸࡚኱ࡁ࡞ኚ఩ࡀ࠶ࡾࠊࡑ
ࡢཎᅉ࡟ࡘ࠸࡚ࡣ⌧ᅾ᳨ウࡀ㐍ࡵࡽࢀ࡚࠸ࡿࠋࡲ㸳㸫 22ࡓࠊࡇࡢࣅ࣮࣒㐍⾜᪉ྥࡢ 4 ᴟ☢ሙ఩⨨ࡢㄗᕪ࡟ࡘ࠸࡚ࡣࠊࣅ࣮࣒ගᏛࢢ࣮ࣝࣉ࡟㐠㌿ୖࡢᙳ㡪࡟ࡘ࠸࡚☜ㄆࢆࡋ࡚㡬ࡁࠊගᏛㄪᩚ࡛ᑐᛂ࡛ࡁࡿࡇ
࡜ࢆ☜ㄆࡋ࡚࠸ࡿࠋ
 66: ࡟ࡼࡿ  ᴟ㟁☢▼☢ሙ୰ᚰ ᐃ
SSWᐃ⿦⨨࣡࢖࣮ࣖ఩⨨ไᚚ㒊ࡢ෗┿ࢆᅗ32 ࡟♧ࡋࡓࠋࡇࡢ ᐃ⿦⨨ࡀᅗ 25 ࡟♧ࡋࡓࡼ࠺࡟ 2 ྎࡢ࣐ࢢࢿࢵࢺࢡࣛ࢖࢜ࢫࢱࢵࢺࡢᚋ᪉࡟ᤣ

ᅗ 33 SSW 䛸㟁☢▼䛻ᑐ䛩䜛ᗙᶆ⣔

௜ࡅࠊBe-Cu ࣡࢖࣮ࣖࢆタィࣅ࣮࣒ࣛ࢖ࣥ఩⨨࡟㓄⨨ࡍࡿࠋ෗┿࡟♧ࡋࡓ⿦⨨ࡣࠊQCS-L ࢡࣛ࢖࢜SSW ࡢ ᐃཎ⌮ࢆᅗ 33 ࡜ᘧ㸦17㸧ࠊ㸦18㸧ࢆ⏝࠸ࢫࢱࢵࢺࢆ KEK ෆ㉸ఏᑟప ┿✵ᐇ㦂Ჷ࡛ᛶ⬟࡚♧ࡍࠋ[10]ヨ㦂ࢆ⾜ࡗࡓ࡜ࡁࡢᵝᏊ࡛ࠊSSWᐃ⿦⨨࡜

QCS-L 㟁☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺඛ➃ࡀ෗ࡉࢀ࡚
࠸ࡿࠋୗࡢ෗┿࡟ Be-Cu ࣡࢖࣮ࣖࡀᚤ࠿࡟ぢ࠼ࡿࠋ

Az= 5 [௕೙ ା௜௔೙

ஶ‫׬‬௡ୀଵ ܴ௥௘௙ g ቀ ௡ோ೙షభ ቁ ሾሺ‫ ݔ‬െ ‫ݔ‬଴ ሻ ൅ ݅ሺ‫ ݕ‬െ‫ݕ‬଴ ሻሿ௡ ],(17)) ‫ܮ‬௠ ሾ‫ܣ‬௭ ሺ‫ݔ‬ଶ ǡ ‫ݕ‬ଶ ሻ െ ‫ܣ‬௭ ሺ‫ݔ‬ଵ ǡ ‫ݕ‬ଵ ሻሿ  ☢ሙ໙㓄 g ࡢ 4 ᴟ☢ሙ୰ᚰ࡛ࡢ࣋ࢡࢺ࣏ࣝࢸࣥ
ࢩࣕࣝ Az ࡣࠊᘧ㸦17㸧࡛⾲ࡉࢀࡿࠋᘧ୰ࡢࠊxࠊyࡣ࣡࢖࣮ࣖࡢᇶ‽ᗙᶆ⣔࡛ࡢỈᖹࠊᆶ┤ᡂศࠊx0ࠊ
y0 ࡣ☢▼ࡢᗙᶆ⣔࡛ࡢ࢜ࣇࢭࢵࢺ࡛࠶ࡿࠋ
ᐃჾࡢ࣡࢖࣮ࣖࡀⅬ 1㸦x1ࠊy1㸧࠿ࡽⅬ 2㸦x2ࠊ
y2㸧࡟⛣ືࡍࡿࡇ࡜࡟ࡼࡿ☢᮰ࡢኚ໬㔞)ࡣࠊᘧ
㸦㸧࡛♧ࡉࢀࡿࠋ)ࡢ ᐃ࠿ࡽࠊ4 ᴟ☢ሙ୰ᚰ఩⨨ࢆ ᐃࡍࡿࠋ
SSW ࢆ⏝࠸࡚ ᐃࡉࢀࡓ㉸ఏᑟᴟ㟁☢▼ࡢ☢
ሙ୰ᚰࢆ⾲࡟♧ࡋࡓࠋ⾲࡟ࡣࠊBelle-II ࢯࣞࣀ࢖ࢻ࡜⿵ṇࢯࣞࣀ࢖ࢻ☢ሙࡢ᭷↓ࡢᙳ㡪࡟ࡘ࠸࡚ࡶ♧ࡋࡓࠋࢯࣞࣀ࢖ࢻ☢ሙ㛫ࡢ㟁☢ຊ࡟ࡼࡾࠊ
⾲ 17 䝡䞊䝮䝷䜲䞁ୖ䛾 4 ᴟ☢ሙ୰ᚰ䠄䝡䞊䝮ᆶ┤㠃ෆ䠅䛸䝋䝺䝜䜲䝗☢ሙ㟁☢ຊ䛾ᙳ㡪ᅗ 32 SSWᐃ⿦⨨䝽䜲䝲䞊఩⨨ไᚚ㒊㟁☢▼'x, mm
w SF
wo SF'y, mm
w SF
wo SF

QC1LE
QC2LE
QC1RE
QC2RE
QC1LP
QC2LP
QC1RP
QC2RP

-0.21
0.13
0.25
0.08
-0.03
-0.31
0.04
0.43

-0.29
-0.54
-0.37
-0.58
-0.21
-0.68
-0.30
0.04

㸳㸫 23

-0.16
0.11
0.14
0.07
-0.14
-0.41
0.69
0.45

-0.56
-0.58
-0.54
-0.63
-0.38
-0.83
-0.43
-0.19

⿵ṇࢯࣞࣀ࢖ࢻࡣ IP ࠿ࡽᢲࡋฟࡉࢀࡿ᪉ྥ࡟㟁☢ຊࡀస⏝ࡋࠊࡇࡢ㟁☢ຊࡣࢡࣛ࢖࢜ࢫࢱࢵࢺࡀ
ཷࡅࡿࡇ࡜࡟࡞ࡿࠋࢡࣛ࢖࢜ࢫࢱࢵࢺࡣᗋ࠿ࡽᅛ
ᐃࡉࢀࡓᯫྎ࡛ᨭᣢࡉࢀࠊୟࡘ∦ᣢࡕᨭᣢࡉࢀ࡚
࠸ࡿࡢ࡛ࠊࢡࣛ࢖࢜ࢫࢱࢵࢺ඲యࡀୖྥࡁ࡟ᢲࡋ
ୖࡆࡽࢀࡿࠋ⾲ 17 ࠿ࡽศ࠿ࡿࡼ࠺࡟ࠊࢡࣛ࢖࢜ࢫ
ࢱࢵࢺඛ➃㒊࡟タ⨨ࡉࢀ࡚࠸ࡿ QC1LP ࡜ QC1RP
ࡢᆶ┤᪉ྥࡢ㟁☢ຊ࡟ࡼࡿኚ఩ࡣࠊ
ྛࠎ0.17mm ࡜
0.13mm ࡛࠶ࡿࠋࣅ࣮࣒㐠㌿≧ែ㸦ࢯࣞࣀ࢖ࢻ☢ሙ᭷㸧࡛ࡢ 4 ᴟ㟁☢▼୰ᚰࡢタィࣅ࣮࣒ࣛ࢖ࣥ࠿ࡽ
ࡢㄗᕪࡣࠊQC1P/E ࡀr 0.5mm ௨ෆࠊQC2P/E ࡶr
1mm ௨ෆ࡛࠶ࡾࠊࡇࡢㄗᕪࡣ⿵ṇ㟁☢▼࡜ࡋ࡚⤌㎸ࡲࢀ࡚࠸ࡿ a1ࠊb1 2 ᴟ㟁☢▼࡟ࡼࡾ⿵ṇࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋᅗ 34
QC1LP/RP 䛛䜙 HER 䝡䞊䝮䝷䜲䞁䜈䛾₃䜜☢ሙศᕸ䚹Z䠖IP 䛛䜙䛾㊥㞳䚹b3ࠊb4 ⿵ṇ㟁☢▼ࡀ⤌ࡳ㎸ࡲࢀ࡚࠸ࡿࠋᅗ 13 ࡛♧ࡋࡓ QC1P 4 ᴟ㟁☢▼᩿㠃ᅗ࡟ࡣࠊ✵㛫ⓗ࡞ไ⣙࠿ࡽ a1ࠊb1ࠊa2 ࡢ⿵ṇ㟁☢▼ࡀ QC1P 4 ᴟ㟁☢▼ࢥ࢖ࣝෆ⟄㒊࡟⤌ࡳ㎸ࡲࢀࠊࡲࡓ QC1LP ࣮࢝ࣛእ࿘㒊࡟ b4 ⿵ṇ㟁☢▼ࠊQC1RP ࡟ࡣ a3 ࡜ b4 ⿵ṇ㟁☢▼ࡀྲྀ௜ࡅࡽࢀ࡚࠸ࡿࠋ㉸ఏᑟ⥺ࡣࠊ┤ᚄࡀ
0.35 mm ࡢ⣽࠸ NbTi ㉸ఏᑟ⥺ࢆ౑⏝ࡋࠊཌࡳࡀ

6. ㉸ఏᑟ⿵ṇ㟁☢▼

1 mm ௨ୗࡢ㉸ఏᑟࢥ࢖ࣝࢆ〇సࡋࡓࠋQC1Eࠊ

 ㉸ఏᑟ⿵ṇ㟁☢▼ࡢタィ෇⟄ෆ࡟ 4 ྎࡢ㉸ఏᑟ㟁☢▼ࡀ⤌ࡳ㎸ࡲࢀ࡚࠸

QC2PࠊQC2E ㉸ఏᑟ 4 ᴟ㟁☢▼࡛ࡣࠊ4 ᴟࢥ࢖ࣝ㉸ఏᑟ⿵ṇ☢▼ࡢ⥲ᩘࡣ 43 ྎ࡛ࠊࡑࡢᶵ⬟ୖࠊ
2 ࡘ࡟ศ㢮ࡉࢀࡿࠋ1 ࡘࡣࣅ࣮࣒ㄪᩚ⏝࡟౑⏝ࡍࡿࠋ㉸ఏᑟ⿵ṇ㟁☢▼ࡢタィ☢ሙᙉᗘࢆ⾲ 18 ࡟⧳ࡵࡓࠋࡿࡶࡢ࡜ࠊ௚ࡣ QC1LP ࡜ QC1RP ࠿ࡽ HER ࣅ࣮࣒ࣛ࢖ࣥ࡟₃ࢀ࡚ࡃࡿ☢ሙࢆ࢟ࣕࣥࢭࣝࡍࡿ⿵
ṇ㟁☢▼࡛࠶ࡿࠋࣅ࣮࣒ㄪᩚ⏝࡟౑⏝ࡍࡿ㟁☢▼ࡣࠊ㉸ఏᑟ 4 ᴟ㟁☢▼୰ᚰ఩⨨ࡢࣅ࣮࣒ᆶ┤㠃ෆࡢࣅ࣮࣒㌶㐨࠿ࡽࡢㄗᕪࢆㄪᩚࡍࡿࡓࡵࡢ a1 ࡜
b1 ⿵ṇ☢▼ࠊ4 ᴟ☢ሙࡢ఩┦ゅᗘࢆㄪᩚࡍࡿࡓࡵ
ࡢ a2 ⿵ṇ☢▼ࡀ 4 ᴟ☢▼࣎࢔࣮ෆ࡟⤌㎸ࡲࢀ࡚࠸ࡿࠋࡲࡓࠊ4 ᴟ㟁☢▼ࡢ〇సㄗᕪ࠿ࡽⓎ⏕ࡍࡿ
6 ᴟ☢ሙࠊ8 ᴟ☢ሙࡢᙳ㡪ࢆ⿵ṇࡍࡿࡓࡵࡢ a3ࠊ
⾲ 18 䝡䞊䝮ㄪᩚ⏝⿵ṇ㟁☢▼タィ☢ሙᙉᗘ
㟁☢▼

a1
Tm

b1
Tm

a2
T

a3
T/m

b3

b4

T/m

T/m2

QC2RE
QC2RP
QC1-2RE
QC1-2RP
QC1RE
QC1RP
QC1LP
QC1LE
QC2LP
QC2LE

0.015
0.03
í
í
0.027
0.016
0.016
0.027
0.03
0.015

0.015
0.03
í
í
0.046
0.016
0.016
0.046
0.03
0.015

0.37
0.31
í
í
0.75
0.64
0.64
0.75
0.31
0.37

1.1 í
0.9 í
í
18.2
í
11.5
4.6 í
í
5.1
í
í
í
í
í
í
í
í

í
í
í
í
í
60
60
60
60
60

ᅗ 35
QC1P ₃ࢀ☢ሙ࢟ࣕࣥࢭࣝ㉸ఏᑟ 6 ᴟࢥ࢖ࣝᒎ㛤ᅗ㸦ୖ㸧ࠊ㉸ఏᑟ 6 ᴟ㟁☢▼࡜ QC1Pࠋ㸳㸫 24

QC1P ࡣ☢Ẽ࣮ࣚࢡࢆᣢࡓ࡞࠸ࡓࡵࠊ2 ྎࡢ㟁☢▼ࡢ┤㏆࡟࠶ࡿ HER ࣅ࣮࣒ࣛ࢖ࣥ࡟ࡣࠊ4 ᴟ㟁☢▼࠿ࡽⓎ⏕ࡋࡓ☢ሙࡀ㔜␚ࡉࢀࡿࠋࡇࡢ₃ࢀ☢
ሙࡣ඲࡚ࡢከᴟᡂศࢆྵࢇ࡛࠾ࡾࠊࣅ࣮࣒㐠㌿࡟ᑐࡍࡿᙳ㡪ࡣ㠀ᖖ࡟኱ࡁ࠸ࠋᅗ 34 ࡟ࣅ࣮࣒ࣛ࢖
ࣥ࡟ἢࡗࡓ 2 ᴟ(B1)㹼12 ᴟ(B6)ࡢ₃ࢀ☢ሙศᕸࢆ♧ࡋࡓࠋB1 ࡣࣆ࣮ࢡ್࡜ࡋ࡚ 0.1184 T ࡟㐩ࡍࡿࠋࡇࢀࡽ☢ሙᡂศࡢෆࠊB1 ࡜ B2 ࡟ࡘ࠸࡚ࡣࡇࡢ☢
ሙศᕸࢆྵࢇࡔࣅ࣮࣒ගᏛタィࢆ⾜࠸ࠊB3㹼B6 ࡟ࡘ࠸࡚ࡣ☢ሙศᕸࡑࡢࡶࡢࢆ࢟ࣕࣥࢭࣝࡍࡿ⿵
ᅗ 36 BNL 䛷〇స୰䛾 QC1RP ⏝ a1 ⿵ṇ☢▼ṇ㟁☢▼ࢆ〇సࡋ HER ࣅ࣮࣒ࣛ࢖ࣥ࡟タ⨨ࡍࡿࡇ࡜࡟ࡋࡓࠋࣅ࣮࣒㐍⾜᪉ྥ࡟ἢࡗࡓ QC1P ࠿ࡽ
ࡢ₃ࢀ☢ሙࡣࠊ㟁Ꮚ࡜㝧㟁Ꮚࡢࣅ࣮࣒ࣛ࢖ࣥࡀ஺ᕪゅᗘࢆᣢࡗ࡚㓄⨨ࡉࢀ࡚࠸ࡿࡢ࡛ࣅ࣮࣒㍈ୖ࡛ᅗ࡟♧ࡍศᕸࢆᣢࡘࠋࡇࡢ☢ሙศᕸࢆᡴᾘࡍࡓ
ࡵ࡟≉Ṧ࡞ᙧ≧ ྛࢱ࣮ࣥࡢࢥ࢖ࣝ┤⥺㒊ࡢ㛗ࡉࢆㄪ⠇ࡋࡓ㉸ఏᑟࢥ࢖ࣝ ࡢ㉸ఏᑟࢥ࢖ࣝࢆタィࡋࡓࠋࡑࡢࢥ࢖ࣝࡢᒎ㛤ᅗ࡜ QC1P ࡜ࡢ఩⨨㛵ಀ
ࢆᅗ 35 ࡟♧ࡋࡓࠋᅗ 37 QCS-L HER ࣅ࣮࣒ࣛ࢖ࣥ⏝ b3 ₃ࢀ☢ሙ࢟ࣕࣥࢭࣝ㟁☢▼ ㉸ఏᑟ⿵ṇ㟁☢▼ࡢ〇స

ᅗ 37 ࡟♧ࡋࡓࠋࡇࡢࢥ࢖ࣝࡢୖ⾲㠃࡟ 8 ᴟ(b4)ࠊ

㉸ఏᑟ⿵ṇ☢▼ࡣ⡿ᅜ Brookhaven ᅜ❧◊✲ᡤ(BNL)࡜ࡢඹྠ◊✲࡛㛤ⓎࡉࢀࠊBNL ࡀᣢࡘ≉Ṧ
10 ᴟ(b5)ࠊ12 ᴟ(b6)⿵ṇ☢▼ࡀ㔜ࡡᕳࡉࢀ࡚࠸ࡿࠋ
 ㉸ఏᑟ⿵ṇ㟁☢▼ࡢ☢ሙ ᐃ⤖ᯝᢏ⾡࡛࠶ࡿ Direct Winding Method[8]ࢆ⏝࠸࡚〇స〇సࡉࢀࡓ⿵ṇ㟁☢▼ࡣࠊBNL ࡛ᐊ ࡢ☢ሙࡋࡓࠋࡇࡢᢏ⾡ࡣࠊ᥋╔๣ࢆ⾲㠃࡟ሬᕸࡋࡓ㉸ఏᐃࡀᐇ᪋ࡉࢀࠊ☢▼ࡀタィࡉࢀࡓ☢ሙࢆᐃ㟁ὶ࡛ᑟ⥺ࢆ㉸㡢Ἴ࡛ຍ⇕ࡋࣃ࢖ࣉ⾲㠃࡟᥋╔ࡍࡿࡶ

Ⓨ⏕ࡍࡿࡇ࡜ࡀ☜ㄆࡉࢀࡓࠋKEK ࡟฿╔ᚋࠊᾮయࡢ࡛ࠊ㉸ఏᑟ⥺ࢆṇ☜࡟㓄⨨ࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋ

࣒࡛࣊ࣜ࢘෭༷ࡉࢀ㉸ఏᑟ≧ែ࡛⿵ṇ㟁☢▼༢

QCS ࡛ࡣࠊDWM ᪉ᘧ࡟ࡼࡾ㉸ఏᑟ 4 ᴟ㟁☢▼ෆయࡢ☢ሙ ᐃࡀ⾜ࢃࢀࡓࠋࡲࡓࠊ㉸ఏᑟ 4 ᴟ㟁☢

⟄㒊ࡢ㝈ࡽࢀࡓ✵㛫࡟ 3 ྎ㹼4 ྎࡢ⿵ṇ☢▼ࢆከ▼࡟ྲྀ௜ࡅ࣭ࢡࣛ࢖࢜ࢫࢱࢵࢺ࡟⤌㎸ࡳࠊࣅ࣮࣒

ᒙ≧࡟⤌㎸ࡴࡇ࡜ࡀ࡛ࡁࡓࠋ౑⏝ࡋࡓ㉸ఏᑟ࣡࢖ࣛ࢖ࣥ࡟ࢩࢫࢸ࣒ࢆᤣ࠼௜ࡅࡓᚋ࡟᭱⤊ⓗ࡞☢

࣮ࣖࡢࣃ࣓࣮ࣛࢱࢆ⾲ 19 ࡟♧ࡋࡓࠋ⿵ṇ㟁☢▼ሙ〇స౛࡜ࡋ࡚ࠊBNL ࡛ࢥ࢖ࣝᕳࡁ⥺୰ࡢ QC1RP

ࡓࠋ☢ሙ ᐃࡣ Harmonic ࢥ࢖ࣝ࡟ࡼࡾ⾜ࡗࡓࠋ⿵⏝ࢫ࣮࢟ࣗ2 ᴟ㸦a1㸧⿵ṇ㟁☢▼ࢆᅗ 36 ࡟♧ࡋࡓࠋ〇స୰ࡢ QC1P ࠿ࡽࡢ₃ࢀ☢ሙࡢᡂศࡢ࠺ࡕ 6

ᐃࢆ⾜࠸ࠊ⿵ṇ㟁☢▼࡜ࡋ࡚ࡢᛶ⬟ࢆ☜ㄆࡋṇ㟁☢▼ࡣí60 A~+60 A ࡢືస㡿ᇦࢆᣢࡘࡓࡵࠊ
0AЍ60AЍí60AЍ0A ࡢ㟁ὶ࣮ࣝࣉ࡛ ᐃ㟁ὶ್ᴟ☢ሙ(b3)ࢆ࢟ࣕࣥࢭࣝࡍࡿ㉸ఏᑟ⿵ṇࢥ࢖ࣝࢆࢆ⣽࠿ࡃ༊ษࡾ☢ሙ ᐃࢆ⾜ࡗࡓࠋ☢ሙ ᐃ⤖ᯝ⾲ 19㻌 ㉸ఏᑟ⿵ṇ☢▼⏝㉸ఏᑟ⥺䝟䝷䝯䞊䝍ࢆࠊ⾲ 20 ࡟⧳ࡵࡓࠋ⾲୰ࡢ್ࡣࠊ ᐃࡢ௦⾲್࡜⥺ᚄ䚸mm
Cu/NbTi ẚ
NbTi 䝣䜱䝷䝯䞁䝖ᚄ䚸Pm
NbTi 䝣䜱䝷䝯䞁䝖ᩘ
Ic at 4.2 K and 4 T, A

0.351
1.0
5.4
2113
156

ࡋ࡚r60A ࡛ࡢ ᐃ್࡜ 0A ࡛ࡢ㟁ὶୖ᪼᫬࡜ୗ
㝆᫬ࡢ㉸ఏᑟయෆࡢࣄࢫࢸࣜࢩࢫ࡟ࡼࡿ

ᐃ್ࡢᕪࢆ♧ࡋࡓࠋ0A ㏆ࡃ࡛౑⏝ࡉࢀࡿ⿵ṇ㟁☢▼ࡣࠊ㉸ఏᑟయෆ㒊ࡢࣄࢫࢸࣜࢩࢫࡢᙳ㡪ࡀ኱ࡁ
ࡃࠊQC1P ࡢ a1ࠊb1 ⿵ṇ㟁☢▼ࡣr60 A ࡛సࡿࡇ㸳㸫 25࡛࠶ࡿࠋ⿵ṇ㟁☢▼࡜ࡑࢀࡽࡀ⤌ࡳ㎸ࡲࢀࡿ 4 ᴟ

⾲ 20 ⿵ṇ㟁☢▼☢ሙ ᐃ⤖ᯝ
㟁☢▼

QC1LP

QC1RP

QC1LE

QC1RE

QC2LP

QC2RP

QC2LE

QC2RE

Type

60A

-60A

a1
b1
a2
b4
a1
b1
a2,
b4
b3
a1
b1
a2,
b4
a1
b1
a2,
a3
a1
b1
a2
b4
a1
b1
a2,
a3
a1
b1
a2
b4
a1
b1
a2,
a3

0.018
0.015
0.806
294.5
0.017
0.016
0.797
-264.8
-9.55
0.033
0.055
0.932
724.3
-0.0310.05500.888-22.60
0.036
0.041
0.640
-159.5-0.0580.042
0.630-1.585
0.040
0.044
0.753
142.0
-0.031-0.0350.600
6.493-0.018-0.014-0.803-292.6-0.018-0.016-0.799267.1
9.41-0.032-0.055-0.931-723.6
0.0313-0.055-0.88922.69-0.036-0.041-0.640159.4
0.058-0.042-0.6291.662-0.040-0.044-0.752-142.00.031
0.035-0.600-6.446'h@0A-0.001-0.001-0.03813.4
0.001-0.001-0.04314.2
0.21-0.001-0.001-0.05523.9
0.001-0.001-0.0511.29-0.001-0.001-0.0319.18
0.001-0.001-0.0320.138-0.001-0.001-0.035
-6.70
0.001
0.001
-0.034-0.322T mrad㟁☢▼࡜ࡢ☢ሙ㠃ࡢ఩┦ゅᗘࡣ〇సㄗᕪ࠿ࡽí30

15.0
25.6
-31.0
-1.7
10.7
11.9
5.2
-14.3
-4.4
-16.2
-6.1
-6.1
-1.2
3.8
2.4
-4.0
4.1
3.9
8.6
9.3
10.2
-0.1
-0.1
5.9
28.0
2.3
3.8
-8.0
-4.4
-6.6
11.2
-7.6
-12.6

⿵ṇ㟁☢▼ࡢᅇ㌿ࡣࠊ⿵ṇ㟁☢▼ෆࡢ☢ሙࡢྜᡂmrad~30 mrad ࡢᅇ㌿ㄗᕪࡀྵࡲࢀ࡚࠸ࡿࠋa1ࠊb1

QC1b3
55.51 -55.49 -0.089
-45.3
2RE
QC1b3 -28.03
28.03
0.051
-4.5
2RP
䛣䛾⾲୰䛷✚ศ☢ሙ䛾༢఩䛿䚸a1 䛸 b1 ⿵ṇ㟁☢
▼䛿 Tm 䚸 a2 ⿵ṇ㟁☢▼䛷䛿 T䚸 a3 䛸 b3 ⿵ṇ㟁☢▼䛿 T/m 䚸 b4 ⿵ṇ㟁☢▼䛿 T/m2䚸'h 䛿㟁ὶ䜢ୖ䛢ୗ䛢䛩䜛᫬䛾 0A 䛷䛾 ᐃ್䛾ᕪ䚸T䛿䛭䜜䛜⤌㎸䜎䜜䛶䛔䜛 4 ᴟ㟁☢▼䛾☢ሙ㠃䛸䛾఩
┦ゅᗘ䛾ᕪ䜢♧䛧䛶䛔䜛䚹࡜ࡀ࡛ࡁࡿ 2 ᴟ☢ሙࡢ 3%~4%࡟┦ᙜࡍࡿࠋࡇࡢ
Ⅽࠊ⿵ṇ㟁☢▼ࡢ㐠⏝᪉ἲ࡟ࡘ࠸࡚ࡣὀពࡀᚲせ࡛㐠⏝ୖၥ㢟࡞ࡃ⿵ṇࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋa2 ⿵ṇ㟁☢▼࡟ࡘ࠸࡚ࡶ୺ 4 ᴟ㟁☢▼࡜ࡢྜᡂ☢ሙ࡜࡞ࡿࡇ࡜࠿ࡽࠊ⿵ṇ㟁☢▼ࡢ㟁ὶ್ࡢㄪᩚ࡛ㄪᩚࡍ
ࡿࡇ࡜ࡀ࡛ࡁࡿࠋ6 ᴟࠊ8 ᴟ⿵ṇ㟁☢▼ࡢゅᗘㄗᕪᅗ 38 QC1LP ⏝₃ࢀ☢ሙ b3, b4, b5, b6 ࢟ࣕࣥࢭࣝ㟁☢▼ࡢ☢ሙศᕸ㸦ୖ㸧ࠊQC1LP ࠿ࡽࡢ₃ࢀ☢
ሙࢆ b3, b4, b5, b6 㟁☢▼࡛ᡴࡕᾘࡋࡓ☢ሙ ᐃ⤖ᯝ㸦ୗ㸧ࠋ ᐃ᫬ࡢ QC1LP ࡢບ☢㟁ὶࡣ 1625A
࡛࠶ࡿࠋ࡟ࡘ࠸࡚ࡣࠊࣅ࣮࣒ගᏛⓗ࡟ࡑࡢᙳ㡪ࢆ᳨ウࡍࡿ
ᚲせࡀ࠶ࡿࠋ
QC1P ࠿ࡽ₃ࢀ࡚ࡃࡿ☢ሙࢆᡴᾘࡍ b3ࠊb4ࠊb5ࠊ
b6 㟁☢▼࡟ࡘ࠸࡚ࡶ☢ሙ ᐃࡀ⾜ࢃࢀࠊࡑࡢᶵ⬟ࡀ☜ㄆࡉࢀࡓࠋᅗ 38㸦ୖᅗ㸧࡟ࡣࠊQC1LP ࢆ 1625A
࡟ບ☢ࡋࡓሙྜࡢ㟁Ꮚࣅ࣮࣒ࣛ࢖ࣥୖ࡛ࡢ
QC1LP ࡢ₃ࢀ☢ሙࡢᐃ⤖ᯝࢆ♧ࡋ࡚࠸ࡿࠋࡲ

ࡓࠊྠୗᅗ࡟ࠊྛ࢟ࣕࣥࢭࣝ㟁☢▼࡟タィ್࡛࠶ࡿ 40.1 A㸦B3㸧
ࠊ26.0 A㸦B4㸧
ࠊ17.2 A㸦B5㸧
ࠊ13.5 A
㸦B6㸧ࢆ㏻㟁ࡋࠊQC1LP ࠿ࡽࡢ₃ࢀ☢ሙࢆᡴᾘࡍ
ࡇ࡜࡟ᡂຌࡋ࡚࠸ࡿᵝᏊࢆ♧ࡋࡓࠋ

㸳㸫 26

⾲ 21 ㉸ఏᑟ⿵ṇ䝋䝺䝜䜲䝗䝟䝷䝯䞊䝍㟁☢▼ࢯࣞࣀ࢖ࢻ☢▼✚ศ☢ሙࠊTm
ID䚸A
L䚸H
BP䚸T
Lpm䚸m
䝁䜲䝹ᩘ
⥲䝍䞊䞁ᩘ
RL,䚸%
⵳✚䜶䝛䝹䜼䚸kJ㉸ఏᑟ⥺䝃䜲䝈䚸mmCu/NbTi ẚ
Ic䚸Aᅗ 39 Belle-II ࢯࣞࣀ࢖ࢻ࡜ QCS ⿵ൾࢯࣞࣀ࢖ࢻ☢ሙศᕸ

7. ㉸ఏᑟ⿵ṇࢯࣞࣀ࢖ࢻ
 ㉸ఏᑟ⿵ṇࢯࣞࣀ࢖ࢻࡢタィ㟁Ꮚ࣭㝧㟁Ꮚࣅ࣮࣒ࡣ Belle-II ㉸ఏᑟࢯࣞࣀ࢖

ESL

2.31
390
2.46
3.56
914
12
4610
49.9
187

ESR1 ESR2/3


3.86
0.17
450
151.1
8.04
0.035
3.05
0.3
1575
720
15
1
6237
1356
46.4
11
814
0.725
NbTi
0.931.380
1.81814 @4 T, 4.22 K

ࢻࡀⓎ⏕ࡍࡿ 1.5 T ࡢ☢ሙ୰ࢆ 83mrad ࡢ஺ᕪゅᗘ࡜ ESR3 ࡟ࡼࡾ౵ධࡋ࡚ࡁࡓࢯࣞࣀ࢖ࢻ☢ሙࢆᡴࢆᣢࡗ࡚⾪✺ࡍࡿࠋ⿵ൾࢯࣞࣀ࢖ࢻ㸦ESLࠊESR1ࠊ

ᾘࡍࠋ4 ྎࡢࢯࣞࣀ࢖ࢻ㟁☢▼ࡢࣃ࣓࣮ࣛࢱࢆ⾲

ESR2/3㸧ࡣࠊBelle-II ࢯࣞࣀ࢖ࢻ☢ሙࡢࣅ࣮࣒࡬ࡢ

21 ࡟ࡲ࡜ࡵࡓࠋESL ࡜ ESR1 ࡢእᙧᅗ࡜⿵ṇࢯࣞᙳ㡪ࢆྲྀࡾ㝖ࡃࡓࡵ࡟ࠊ཯ᑐࡢྥࡁࢆᣢࡕ☢ሙࡢࣀ࢖ࢻࡢࢡࣛ࢖࢜ࢫࢱࢵࢺෆ࡟⤌㎸ࡲࢀࡓᵝᏊ✚ศ㔞࡜ࡋ࡚ࣅ࣮࣒ࣛ࢖ࣥୖ࡛ᡴࡕᾘࡍࢯࣞࣀ

ࢆᅗ 40 ࡜ᅗ 41 ࡟♧ࡋࡓࠋESL ࡣ 12 ಶࠊESR1 ࡣ࢖ࢻ☢ሙࢆⓎ⏕ࡉࡏࡿࠋࡇࢀࡽࡢ㉸ఏᑟࢯࣞࣀ࢖

15 ಶࡢ▷࠸ࢯࣞࣀ࢖ࢻ࠿ࡽᵓᡂࡉࢀ࡚࠸ࡿࠋ

ࢻࡀⓎ⏕ࡍࡿ☢ሙศᕸࢆᅗ 39 ࡟♧ࡋࡓࠋBelle-IIࢯࣞࣀ࢖ࢻࢥ࢖ࣝࡣࠊࢧ࢖ࢬ 0.932 mm1.384

ࢯ ࣞࣀ ࢖ࢻ༢ యࡀ సࡿ☢ ሙศ ᕸࢆ㉥ ୸࡜ ᐇ⥺mm ࡢ▴ᙧᆺ NbTi ࣔࣀࣜࢫࢣ࣮ࣈ࡛ࣝసࡽࢀࠊ

㸦㉥㸧࡛♧ࡋࠊ඲࡚ࡢࢯࣞࣀ࢖ࢻࡀບ☢ࡉࢀࡓሙྜ

ESL ࡜ ESR1 ࡣ⥲ࢱ࣮ࣥᩘࡀ 4610.1 ࡜ 6237.1 ࡢࡢ☢ሙศᕸࢆᐇ⥺㸦㯮㸧࡛♧ࡋࡓࠋࢢࣛࣇᶓ㍈ࡢᐦᕳࢥ࢖࡛ࣝ࠶ࡿࠋBelle-II ࢯࣞࣀ࢖ࢻ☢ሙࡀ࠶ࡿZ=0 ࡣࣅ࣮࣒⾪✺Ⅼ࡛ࠊZ=0 ࠿ࡽr 4m ࡢྛ༊㛫ࡢ≧ែ࡛ࡢ࢖ࣥࢲࢡࢱࣥࢫࡣࠊྛࠎ2.46 H ࡜ 8.04 H

ࣅ࣮࣒ࣛ࢖ࣥୖ࡛ࡢ✚ศࢯࣞࣀ࢖ࢻ☢ሙࡀྛࠎ࡛࠶ࡾࠊ4 ᴟ㟁☢▼࡜ẚ㍑ࡋ࡚኱ࡁ࡞್ࢆࡶࡘࠋ
ࢮࣟ࡟࡞ࡿࡼ࠺࡟⿵ൾࢯࣞࣀ࢖ࢻࡣタィࡉࢀ࡚࠸ࡿࠋᅗ୰࡟ࡣ QC1 ࡜ QC2 ࡢ఩⨨ࡶ♧ࡋࡓࠋ
QC1LP ࡜ QC1RP ࡢ఩⨨࡛ Belle-II ࢯࣞࣀ࢖ࢻࠊ
ESLࠊESR1 ࡢྜᡂ☢ሙࡀ 1.5 T ࠿ࡽí2.6 T ࡲ࡛ኚ໬ࡍࡿࠋගᏛタィ࠿ࡽồࡵࡽࢀࡿ☢ሙศᕸࢆṇ☜࡟෌⌧࡛ࡁࡿࡼ࠺ ESL ࡜ ESR1 ࡣ」ᩘࡢ▷࠸ࢯࣞࣀ࢖ࢻ࡛ᵓᡂࡉࢀ࡚࠸ࡿࠋࡲࡓࠊQC1LE/RE ࡜
QC2LP/RP ࡛ࡣ☢Ẽ࣮ࣚࢡࢆᣢࡘⅭࠊESL ࡜ ESR1
ࡣ Belle-II ࢯࣞࣀ࢖ࢻ☢ሙࢆᡴᾘࡋࠊྜᡂࡉࢀࡓ
☢ሙศᕸࡀᴫࡡࢮࣟ࡜࡞ࡿࡼ࠺࡟タィࡉࢀ࡚࠸ࡿࠋ
QCS-R ഃ࡛ࡣࠊQC2RP ࡜ QC2RE 㛫ࡢ✵㛫࡟
Belle-II ࢯࣞࣀ࢖ࢻ☢ሙࡀ౵ධࡋ࡚ࡃࡿࡇ࡜࠿ࡽࠊ
ྛࣅ࣮࣒ࣛ࢖ࣥࡢ QC2RE ࡢ఩⨨࡟⤌㎸ࢇࡔ ESR2ᅗ 40 ESL ⿵ṇࢯࣞࣀ࢖ࢻ㸦ୖ㸧࡜ࢡࣛ࢖࢜ࢫࢱ
ࢵࢺෆ㓄⨨ᅗ㸳㸫 27࠿ࡽࡢ㟁☢ຊࡼࡾࡶ኱ࡁࡃ࡞ࡾ༙ᚄ᪉ྥእྥࡁ

ࡢຊࡀస⏝ࡍࡿࠋ
 ㉸ఏᑟ⿵ൾࢯࣞࣀ࢖ࢻࡢ〇సᅗ 43 ࡜ᅗ 44 ࡟ ESL ࡜ ESR1 ࡢ〇స᏶஢ᚋࡢ෗
┿ࢆ♧ࡋࡓࠋ㟁Ꮚ࣭㝧㟁Ꮚࡢࣅ࣮࣒ࣛ࢖ࣥࡀ 83
mrad ࡢゅᗘࢆᣢࡘࡇ࡜࠿ࡽࠊࢯࣞࣀ࢖ࢻ☢▼ࡢෆᚄࡣ IP ࠿ࡽࡢ㊥㞳࡟ᚑࡗ࡚኱ࡁࡃ࡞ࡗ࡚࠸ࡿࠋࡲ
ࡓࠊ㟁☢ຊ࡟ࡼࡿ㉸ఏᑟࢣ࣮ࣈࣝࡢࡺࡿࡳࢆᢚ࠼
ࡿࡓࡵࠊࢥ࢖ࣝ〇స᫬࡟ࡣ㉸ఏᑟࢣ࣮ࣈࣝ࡟ᙇຊ

ᅗ 41 ESR1 ⿵ṇࢯࣞࣀ࢖ࢻ㸦ୖ㸧࡜ ESR1 ࡜ࢆ࠿ࡅࠊ࢚࣏࢟ࢩྵ౵ࢆ⾜࠸࡞ࡀࡽᕳࡁ⥺ࢆ⾜ࡗࡓࠋ

ESR2/3 ࢡࣛ࢖࢜ࢫࢱࢵࢺෆ㓄⨨ᅗ
ࡲࡓࠊESL ࡜ ESR1 ࡣෆ㒊࡟☢ᛶయࢆᣢࡘࡇ࡜࠿
ࡽບ☢୰࡟࢖ࣥࢲࢡࢱࣥࢫࡀ኱ࡁࡃኚ໬ࡍࡿࠋࡇ
ࡢᵝᏊࡶບ☢ヨ㦂ཬࡧ☢ሙᐃ⤖ᯝࡢ⠇࡛ㄝ᫂

ࡍࡿࠋESR2 ࡜ ESR3 ࡣྠࡌ☢▼ࣃ࣓࣮ࣛࢱࢆᣢ
ࡕࠊࢱ࣮ࣥᩘࡣ 1356 ࡛࠶ࡿࠋࡇࡢ 2 ྎࡢࢯࣞࣀ
࢖ࢻࡣࠊLER/HER ࣅ࣮࣒ࣛ࢖ࣥ࡟ྛࠎタ⨨ࡉࢀࡿࡀࠊ┤ิ࡟㟁Ẽ᥋⥆ࡉࢀࠊບ☢ࡣ 1 ྎࡢ㟁※࡛⾜࠺ࠋࢯࣞࣀ࢖ࢻ㟁☢▼༢య࡛ࡣࠊ⮬ᕫ☢ሙ࡜㏻㟁㟁
ὶ࡟ࡼࡿ㟁☢ຊ࡟ࡼࡾࢥ࢖ࣝᮏయࡣ༙ᚄ᪉ྥ࡟
⭾ࢀࠊ㍈᪉ྥ࡟ᅽ⦰ࡉࢀࡿྥࡁ࡟㟁☢ຊࡣస⏝ࡍࡿࠋ↛ࡋ࡞ࡀࡽࠊࡇࡢ⿵ṇࢯࣞࣀ࢖ࢻࡣࠊBelle-IIᅗ 42 ບ☢࡟ࡼࡾ ESL ࡜ ESR1 ࡟స⏝ࡍࡿ BelleII ࠿ࡽࡢ༙ᚄ᪉ྥࡢ㟁☢ຊࢯࣞࣀ࢖ࢻ☢ሙ࡜཯ᑐྥࡁࡢ☢ሙࢆసࡿࡼ࠺࡟
タィࡉࢀ࡚࠸ࡿࡢ࡛ࠊ㏻㟁㟁ὶ್ࡀᑠࡉ࠸㛫ࡣ༙ᚄ᪉ྥ࡟ᅽ⦰ࡉࢀࠊ㍈᪉ྥ࡟ఙࡧࡿྥࡁ࡟㟁☢ຊࡀస⏝ࡍࡿࠋ༙ᚄ᪉ྥࡢ㟁☢ຊࡢኚ໬࡟ࡘ࠸࡚ᅗ42 ࡟♧ࡋࡓࠋᅗ୰ࡢࣉࣟࢵࢺࡣࠊESL ࡜ ESR1 ࡢ
IP ࡟᭱ࡶ㏆࠸ࢥ࢖ࣝ࡟స⏝ࡍࡿ㟁☢ຊ⥲࿴ࢆࢥᅗ 43 QCS-L ࡟⤌㎸ࡲࢀࡓ ESL࢖ࣝෆ㠃ࡢ㠃✚࡟స⏝ࡍࡿᅽຊ࡟᥮⟬ࡋࡓ್࡛࠶ࡿࠋᶓ㍈ࡣࠊタィ㟁ὶ㸦100%㸧࡟ᑐࡍࡿẚ⋡ࢆ♧ࡋ࡚࠸ࡿࠋບ☢ึᮇࡢẁ㝵࡛ࢥ࢖ࣝ⮬㌟ࡀ༙ᚄ
᪉ྥ㸦෇ࡢ୰ᚰ࡟ྥ࠿ࡗ࡚㸧࡟ Belle-II ࠿ࡽ㟁☢
ຊࢆཷࡅࡿࠋࡇࡢᅽຊࡣí1.5㹼í1.9 MPa ࡟┦ᙜࡋࠊ
ESL ࡜ ESR1 ࡢࢥ࢖ࣝ࣎ࣅࣥࡀࡇࡢᅽຊࢆཷࡅࡿࠋࢥ ࢖ࣝ࣎ ࣅࣥ ࡣࠊࡇ ࡢᅽ ຊ࡟⪏ ࠼ࡿ ཌࡳ
㸦5mm㸧࡜࡞ࡗ࡚࠸ࡿࠋタィ㟁ὶ࡛ࡣࠊESL ࡜ ESR1
⮬ᕫ☢ሙ࡟ࡼࡿ㟁☢ຊࡀ Belle-II ࢯࣞࣀ࢖ࢻ☢ሙ

㸳㸫 28


ᅗ 44 QCS-R ࡟⤌㎸ࡲࢀࡓ ESR1 ࣅ࣮࣒ࣛ࢖࡛ࣥࡢບ☢ヨ㦂࡜ࢯࣞࣀ࢖ࢻ☢ሙ ᐃ
ESL ࡜ ESR1ࠊESR2/3 ࡣࠊᅗ 40 ࡜ᅗ 41 ࡟♧ࡍࡼ࠺࡟ࢡࣛ࢖࢜ࢫࢱࢵࢺ࡟⤌㎸ࡲࢀࡓࠋࢡࣛ࢖࢜
ࢫࢱࢵࢺࢆࣅ࣮࣒ࣛ࢖ࣥ࡟タ⨨ᚋࠊ㟁☢▼ࡢບ☢
ヨ㦂ࢆ⾜ࡗࡓࠋ
ESR2/3 ࡟ࡘ࠸࡚ࡣࠊ
タィ㟁ὶࡢ 151
A ࡲ࡛ບ☢࡛ࡁࡓࡀࠊESL ࡜ ESR1 ࡟ࡘ࠸࡚ࡣࢯ
ࣞࣀ࢖ࢻෆ⟄㒊࡟☢ᛶయࢆᣢࡘࡇ࡜࠿ࡽ㟁※ࡢ
ㄪᩚ࡟᫬㛫ࢆせࡋࡓࠋ㟁☢▼඲యࡢࢩࢫࢸ࣒タィ
࡛ࡣࠊBelle-II ࢯࣞࣀ࢖ࢻࢆບ☢ᚋ࡟⿵ṇࢯࣞࣀ࢖ᅗ 45 ບ☢㟁ὶ࡟క࠺ ESL ࡜ ESR1 ࡢ࢖ࣥࢲࢡ

ࢻࡢບ☢ࢆ⾜࠺ࡇ࡜࡟࡞ࡗ࡚࠸ࡿࠋ⿵ṇࢯࣞࣀ࢖ࢱࣥࢫࡢኚ໬

ࢻෆ㒊࡟⤌㎸ࡲࢀࡓ☢ᛶయࡢࣄࢫࢸࣜࢩࢫࡼࡿ
☢ሙኚ໬࡟෌⌧ᛶࢆᣢࡓࡏࡿࡓࡵ࡟ࠊࡇࡢࣉࣟࢭ

⌧ᅾ࡛ࡣࠊ㟁ὶࡢᤲᘬ㏿ᗘࡶྵࡵ࡚㟁ὶ್ࢆᏳᐃ࡟㐠㌿࡛ࡁࡿ≧ែ࡟ㄪᩚࡉࢀ࡚࠸ࡿࠋࢫ࡟ࡼ ࡗ࡚⿵ ṇࢯ ࣞࣀ࢖ ࢻບ ☢๓࡟ ☢ᛶ యࢆ㟁※ࢩࢫࢸ࣒ࢆᏳᐃ࡟ືస࡛ࡁࡿࡼ࠺࡟࡞ࡗ

Belle-II ࢯࣞࣀ࢖ࢻ☢ሙ࡛᏶඲࡟☢Ẽ㣬࿴ࡋึᮇ

ࡓᚋࠊBelle-II ࢯࣞࣀ࢖ࢻ☢ሙ᭷ࡾ↓ࡋࡢ≧ែ࡛໬ࡍࡿࠋ↛ࡋ࡞ࡀࡽࠊ⿵ṇࢯࣞࣀ࢖ࢻࡢບ☢㟁ὶ

LER ࡜ HER ࡢࣅ࣮࣒ࣛ࢖ࣥ࡟ἢࡗࡓࢯࣞࣀ࢖ࢻ

ࡢቑຍ࡟క࠸ࠊ㣬࿴ࡋࡓ☢ᛶయࡀࡑࡢ☢ᛶࢆᅇ᚟☢ሙࡢ ᐃࢆ⾜ࡗࡓࠋ㟁Ꮚࣅ࣮࣒ࣛ࢖ࣥࡢ ᐃ⤖ࡍࡿ≧ἣ࡜࡞ࡾࠊ㟁※࠿ࡽぢࡿ࡜㈇Ⲵ࡜࡞ࡗ࡚࠸

ᯝࢆᅗ 46 ࡟♧ࡋࡓࠋKEK ຍ㏿ჾࢢ࣮ࣝࣉࡢ ᐃࡿ⿵ṇࢯࣞࣀ࢖ࢻࡢ࢖ࣥࢲࢡࢱࣥࢫ㸦L㸧ࡣࠊ✵ⰺ

⤖ᯝࠊBelle-II ࢢ࣮ࣝࣉࡢ

ࢯࣞࣀ࢖ࢻ࠿ࡽෆ㒊࡟☢ᛶయࢆᣢࡘ L ࡢ኱ࡁ࡞ࢯ

⥺ࡣィ⟬⤖ᯝࢆ♧ࡋ࡚࠸ࡿࠋ

ࣞࣀ࢖ࢻ࡟ኚ໬ࡍࡿࡇ࡜࡟࡞ࡿࠋࡇࡢᵝᏊࡣࠊ⿵ᐃ⤖ᯝࠊࡲࡓ㉥ࡢᐇᅗ୰ࡢí0.4 m < Z < 0.5 m ࡢᐃ್㸦‫ڧ‬㸧ࡣࠊṇࢯࣞࣀ࢖ࢻບ☢୰ࡢ㟁※㟁ᅽࡢ ᐃ್࡜ Belle-

Belle-II ࢢ࣮ࣝࣉࡢ ᐃ್࡛ࠊZ<í0.6 m ࡜ 0.6 m<

II ࢯࣞࣀ࢖ࢻ࡜⿵ṇࢯࣞࣀ࢖ࢻࡢ 3 ḟඖ☢ሙィ⟬Z ࡢ ᐃ್㸦࣭㸧ࡣ KEK ຍ㏿ჾࢢ࣮ࣝࣉࡢ ᐃ⤖ᯝ࠿ࡽ☜ㄆࡉࢀࡓࠋࡇࡢ⤖ᯝࢆ♧ࡋࡓࡶࡢࡀᅗ

⤖ᯝ࡛࠶ࡿࠋBelle-II ࢢ࣮ࣝࣉࡢ ᐃࡣࠊCERN

45 ࡛࠶ࡿࠋᅗ୰ࡢ㉥୸㸦ࠐ㸧࡜ࡑࢀ࡟ἢࡗࡓᐇ⥺࠿ࡽᥦ౪ࡉࢀࡓᰯṇ῭ࡳࡢ 3 ㍈ࡢࣉ࣮ࣟࣈࢆ」ᩘ

ࡀ ESL ࡢ L ࡢィ⟬⤖ᯝ࡜ᐃ್ࢆ♧ࡋࠊ㟷୕ゅෆ㒊࡟タ⨨ࡋ࡚⾜ࢃࢀࡓࠋࡲࡓࠊKEK ຍ㏿ჾࢢࣝ㸦‫ڸ‬㸧࡜㟷ᐇ⥺ࡀ ESR1 ࡢィ⟬⤖ᯝ࡜ ᐃ್࡟ᑐᛂ

࣮ࣉࡢ☢ሙ ᐃࡣࠊLakeshore 〇 3 ㍈ࡢࣉ࣮ࣟࣈ

ࡍࡿࠋ㟁ὶ್ࡀᑠࡉ࠸㛫ࡣࠊ☢ᛶయࡣ㣬࿴ࡋࡓ≧ࢆࣅ࣮࣒㍈᪉ྥ࡟ 20 mm ࢫࢸࢵࣉ࡛⛣ືࡋ࡚ែ࡛࠶ࡿࡢ࡛ ESL ࡜ ESR1 ࡢ L ࡣࠊィ⟬್࡜ࡋ࡚ᐃࡋࡓࠋ ᐃ⤖ᯝ࡜ィ⟬⤖ᯝࡣ㠀ᖖ࡟Ⰻ࠸୍⮴ࢆ

1.16 H ࡜ 1.69 H ࡛࠶ࡿࡀࠊࣅ࣮࣒㐠㌿᫬ࡢ㟁ὶ್♧ࡋ࡚࠸ࡿࠋࡇࡢ ᐃ⤖ᯝ࠿ࡽࠊࢯࣞࣀ࢖ࢻ✚ศ

࡛ࡣ 2.47 H ࡜ 8.04 H ࡲ࡛ୖ᪼ࡍࡿࠋࡇࡢ㈇Ⲵࡢ

☢ሙࡀࢮࣟ࡜࡞ࡿ ESLࠊESR1ࠊESR2/3 ࡢ㐠㌿ኚ໬ࡣࠊ㟁※ࢆᏳᐃ࡟ไᚚࡋ࡚౑⏝ࡍࡿ࡟ࡣ኱ࡁ

㟁ὶࢆ 390 Aࠊ450 Aࠊ151 A ࡜ࡋࡓࠋࡍࡂࡿࠋࡲࡓࠊࢯࣞࣀ࢖ࢻ☢ሙศᕸࡢ ᐃ࡜ィ⟬ࡢヲ⣽
࡞ẚ㍑࠿ࡽࠊBelle-II ࢯࣞࣀ࢖ࢻ࡜⿵ṇࢯࣞࣀ࢖ࢻ㛫ࡢ㟁☢ຊ࡟ࡼࡿ⿵ṇࢯࣞࣀ࢖ࢻࡢ఩⨨ࡢኚ

⾲ 22 䝋䝺䝜䜲䝗☢ሙ䛻䜘䜛㟁☢ຊ䛸䝻䝑䝗ᛂຊ
ESL/ESR ບ☢
䝻䝑䝗ᛂຊ
ESL/ESR1 ບ☢↓
䝻䝑䝗ᛂຊ

QCS-L
í52.6 kN
161 MPa57.3 kN
174 MPa

QCS-R
35.7 kN
206 MPaí23.5 kN
152 MPa໬ࢆㄪ࡭ࡓࠋBelle-II ࢯࣞࣀ࢖ࢻ☢ሙ࡜ࡢ㟁☢ⓗ࡞ᖸ΅࡟ࡼࡾ⿵ṇࢯࣞࣀ࢖ࢻ඲యࡀ㍈᪉ྥ࡟኱ࡁ
࡞㟁☢ຊࢆཷࡅࡿࠋࡇࡢ㟁☢ຊࢆ⾲ 22 ࡟⧳ࡵࡓࠋ
ESL ࡛ࡣࠊບ☢୰ࡣ IP ࠿ࡽ ESL ࢆᢲࡋฟࡍྥࡁ
࡟ 52.6 kN ࡢ㟁☢ຊࡀస⏝ࡍࡿࡀࠊESL ࡢບ☢ࡀ↓ࡃ࡞ࡗࡓሙྜࠊESL ෆ⟄࡟⤌㎸ࡲࢀࡓ㉸ఏᑟ㟁㸳㸫 29☢▼ࡢ☢ᛶయࡀ Belle-II ࢯࣞࣀ࢖ࢻ☢ሙ࡟ᘬࡁࡘẼⓗ࡞ᖸ΅࡟ࡼࡾ඲࡚ࡢ㟁☢▼ࡀ⤌ࡳ㎸ࡲࢀࡓࡅࡽࢀࠊIP ࡟ᘬࡁ㎸ࡴ᪉ྥ࡟ 57.3 kN ࡢ㟁☢ຊࡀ࣒࣊ࣜ࢘ᐜჾ඲యࡀື࠸࡚࠸ࡿࡇ࡜ࡀ☜࠿ࡵࡽస⏝ࡍࡿࠋࡇࡢ㟁☢ຊ࡟ᑐࡋ࡚ࠊ㉸ఏᑟ㟁☢▼ࢆࢀࡓࡇ࡜࡟࡞ࡿࠋ

⤌㎸ࢇࡔ࣒࣊ࣜ࢘ᐜჾࡣ Ti ྜ㔠ࡢࣟࢵࢻ࡟ࡼࡾ

௨ୖ♧ࡋࡓࡼ࠺࡟ࠊࣅ࣮࣒㐠㌿≧ែ࡛ࡢ㟁☢ຊࢡࣛ࢖࢜ࢫࢱࢵࢺ┿✵ᐜჾ࠿ࡽᨭᣢࡉࢀࡿࠋᨭᣢ

࡟ࡼࡾ࣒࣊ࣜ࢘ᐜჾ඲యࡀኚ఩ࡍࡿࠋ㉸ఏᑟ 4 ᴟࣟࢵࢻ࡟ࡘ࠸࡚ࡣࠊࢡࣛ࢖࢜ࢫࢱࢵࢺࡢ❶࡛ㄝ᫂㟁☢▼ࡢ❶࡛ㄝ᫂ࡋࡓෆᐜࡶྵࡵ࡚ࠊ⢭ᐦ࡞☢ሙࡍࡿࠋࡇࡢ㠀ᖖ࡟኱ࡁ࡞㟁☢ຊࡢᙳ㡪ࡣࠊ࣊ࣜ࢘

ᐃ࡟ࡼࡾࠊࢯࣞࣀ࢖ࢻ㛫ࡢ㟁☢ຊࠊ4 ᴟ㟁☢▼࣒ᐜჾ඲యࢆࢯࣞࣀ࢖ࢻ㍈᪉ྥ࡟ኚ఩ࡍࡿຊ࡜

࡟ྲྀ௜ࡅࡽࢀ࡚࠸ࡿ☢ᛶ࣮ࣚࢡ࡟స⏝ࡍࡿ㟁☢

࡞ࡿࠋࡑࡢኚ఩㔞ࢆࢯࣞࣀ࢖ࢻ☢ሙࡢኚ໬ࡀ኱ࡁ

ຊ࡟ࡼࡾ 4 ᴟ㟁☢▼☢ሙ୰ᚰࡣኚ఩ࡋࠊQC1LE ࡛࠸ࠊí1.4 m < Z < í0.6 m ࡜ 0.6 m < Z < 1.4 m ࡢࡣ㟁☢ຊ࡜〇సㄗᕪࡶྵࡵ࡚ IP እྥࡁ࡟ 3.5 mm

ᐃ್࠿ࡽホ౯ࡋࡓࠋ ᐃ⤖ᯝ࡜タィィ⟬್࡜ࡢᕪኚ఩ࡋ࡚࠸ࡿࡇ࡜ࡀศ࠿ࡗ࡚࠸ࡿࠋ

ࡣࠊESL ഃ࡛ࡣ Z ᪉ྥ࡟í2.3 mmr 0.5 mmࠊESR1㉸ఏᑟ㟁☢▼ࡢㄝ᫂ࡣࡇࡇࡲ࡛࡜ࡋ࡚ࠊࡇࢀࡽ

ഃ࡛ࡣ 0.4 mmr 0.5 mm ྛࠎࢩࣇࢺࡋ࡚࠸ࡿࡇ࡜

㉸ఏᑟ㟁☢▼ࡢ⤌❧࡚ࡓ᫬ࡢ෗┿ࢆῧ௜㈨ᩱ࡟

ࡀ☜ㄆࡉࢀࡓࠋࡇࡢ⤖ᯝࡣࠊ⾲ 16 ࡛♧ࡋࡓ QCS-

♧ࡋࡓࠋῧ௜㈨ᩱ-1㸸㉸ఏᑟ 4 ᴟ㟁☢▼࡜⿵ṇ㉸L ࡜ QCS-R ࡢ 3 ྎࡢ 4 ᴟ㟁☢▼㸦QC1PࠊQC1Eࠊ

ఏᑟ㟁☢▼ࠊ☢ᛶయ࣮ࣚࢡ➼ࡢ⤌❧ࠊῧ௜㈨ᩱ-2㸸

QC2P㸧ࡢ㟁☢ຊ࡟ࡼࡿࣅ࣮࣒㍈᪉ྥࡢኚ఩㔞ࡢ

௨ୖࡢຍ㏿ჾ⏝㉸ఏᑟ㟁☢▼࡟㔠ᒓ࢝ࣂ࣮ࢆ࠿

ᖹᆒ್ࡀí2.3 mm ࡜ 0.9 mm ࡛࠶ࡿࡇ࡜࡜Ⰻࡃ୍

ࡅ᏶඲࡟ᅛᐃࡋࡓ≧ែࠊῧ௜㈨ᩱ-3㸸ESL ࢆ㉸ఏ⮴ࡋ࡚࠸ࡿࠋ࣒࣊ࣜ࢘ᐜჾෆ࡛ࡣࠊ⿵ṇࢯࣞࣀ࢖ᑟ㟁☢▼ࡢ㞟ྜయ࡟᥋⥆ࠊῧ௜㈨ᩱ-4㸸ESL እ࿘ࢻ࡜ 4 ᴟ㟁☢▼࣭⿵ṇ㟁☢▼ࡣᶵᲔⓗ࡟ᅛᐃࡉࢀ

㒊࡟ᨺᑕ⥺࠿ࡽࢩ࣮ࣝࢻࢱࣥࢢࢫࢸࣥྜ㔠ࡀྲྀ࡚࠸ࡿࡇ࡜࠿ࡽࠊBelle-II ࢯࣞࣀ࢖ࢻ☢ሙ࡜ࡢ☢

௜ࡅࡽࢀࡓ≧ែࠊ➼ࢆ♧ࡋ࡚࠸ࡿࠋ

8. ࣐ࢢࢿࢵࢺࢡࣛ࢖࢜ࢫࢱࢵࢺ࡜෭༷ࢩ
ࢫࢸ࣒㉸ఏᑟ㟁☢▼ࢆᏳᐃ࡟㐠㌿ࡍࡿୖ࡛ࡣࠊࢡࣛ࢖
࢜ࢫࢱࢵࢺ࡜෭༷ࢩࢫࢸ࣒ࡣ㠀ᖖ࡟㔜せ࡞ᙺ๭ࢆᣢࡗ࡚࠸ࡿࠋSuperKEKB ࣅ࣮࣒᭱⤊㞟᮰⏝㉸ఏᑟ㟁☢▼࡟౑⏝ࡉࢀ࡚࠸ࡿ㉸ఏᑟᮦᩱࡣࠊప ㉸ఏᑟᮦࡢ NbTi㸦ྜ㔠⣔㸧ࡀ౑⏝ࡉࢀ࡚࠸ࡿࡢ࡛㉸ఏᑟᮦᩱࡢ⮫⏺≧ែࢆỴࡵࡿ☢ሙࠊ ᗘࠊ㟁ὶᐦᗘࡢෆࠊືస ᗘࡣ 6 K ௨ୗ࡜࡞ࡿࠋࡇࡢືస
ᗘ࡜༑ศ࡞㐠㌿࣐࣮ࢪࣥࢆᣢࡘࡓࡵ࡟㟁☢▼ࡣ㐣෭༷ᾮయ࣒࡛࣊ࣜ࢘෭༷ࡉࢀ࡚࠸ࡿࠋᾮయ࣊ࣜ
࣒࢘ࡣྛࢡࣛ࢖࢜ࢫࢱࢵࢺ࡟᥋⥆ࡉࢀࡓಶูࡢ
࣒࣊ࣜ࢘෭෾ᶵ࠿ࡽ౪⤥ࡉࢀࡿࠋ ࢡࣛ࢖࢜ࢫࢱࢵࢺࡢࢩࢫࢸ࣒タィᅗ 47 ࡟ QCS-R ࢡࣛ࢖࢜ࢫࢱࢵࢺࡢ඲యᅗ࡜㉸ఏᑟ㟁☢▼ࢆ⤌㎸ࢇࡔࢡࣛ࢖࢜ࢫࢱࢵࢺࡢ᩿㠃ᅗ 46 HER ࣅ࣮࣒ࣛ࢖ࣥୖࡢࢯࣞࣀ࢖ࢻ☢ሙศᕸࠋୖᅗࡣࣅ࣮࣒㐍⾜᪉ྥ☢ሙ(Bz)ࠊ
ୗᅗࡣ༙ᚄ᪉ྥ☢ሙ(Br)ࢆ♧ࡋ࡚࠸ࡿࠋ

ᅗࢆ♧ࡋࡓࠋࢡࣛ࢖࢜ࢫࢱࢵࢺࡣ㸪㟁☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺ㸪ࢧ࣮ࣅࢫࢡࣛ࢖࢜ࢫࢱࢵࢺ㸪ప 㓄⟶㸪ᨭᣢᯫྎ࠿ࡽᵓᡂࡉࢀ࡚࠸ࡿࠋQCS-L ࢡࣛ࢖㸳㸫 30࢜ࢫࢱࢵࢺࡶᇶᮏⓗ࡞ᵓᡂࡣྠࡌ࡛࠶ࡿࠋ
ᅗ 10 ࡟
♧ࡍࡼ࠺࡟ 2 ྎࡢ㟁☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺࡣ
Belle-II ᳨ฟჾෆ㒊࡟⤌㎸ࡲࢀࡿࡀ㸪᳨ฟჾෆ㒊ࡢ✵㛫ⓗ࡞ไ⣙࠿ࡽࢡࣛ࢖࢜ࢫࢱࢵࢺᮏయࡣࠊࡑࡢ
ᚋ㠃࡛ᨭᣢᯫྎ࠿ࡽ∦ᣢࡕ࡛ಖᣢࡉࢀ࡚࠸ࡿࠋࢡ
ࣛ࢖࢜ࢫࢱࢵࢺࡢࣃ࣓࣮ࣛࢱࢆ⾲ 23 ࡟♧ࡋࡓࠋ
QCS-R/L 㟁☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺ㒊ࡢ㛗ࡉࡣ㸪
3287mm/2724mm ࡛ࠊࢩࢫࢸ࣒඲యࡢ㛗ࡉࡣ 6.5
m/7.1 m ࡛࠶ࡿࠋᅗ 47 ୰ẁ࡟ࡣ QCS-R ࢡࣛ࢖࢜ࢫࢱࢵࢺࡢỈᖹ᩿㠃ࢆ♧ࡋࡓࠋ㟁Ꮚ࣭㝧㟁Ꮚࣅ࣮
࣒ࡀ㏻㐣ࡍࡿࣅ࣮࣒ࣃ࢖ࣉ(ᐊ) ࡣゅᗘࢆᣢࡗ

࡚⤌㎸ࡲࢀࡿࡓࡵࠊඛ㢌㒊(IP ഃ)࡛ࡣ㉸ఏᑟ㟁☢
▼ࡢタ⨨✵㛫࡟ཝࡋ࠸ไ⣙ࡀ࠶ࡿࠋᅗ 47 ୗᅗ࡟ࡣࠊ࣐ࢢࢿࢵࢺࢡࣛ࢖࢜ࢫࢱࢵࢺࡢࢡࣛ࢖࢜ࢫࢱ

ࢵࢺ㍈ᆶ┤᩿㠃ࡀ♧ࡉࢀ࡚࠸ࡿࠋQC1RP 㒊ࡢ᩿㠃㸦ᅗ୰ M-M ᩿㠃㸧࡛♧ࡍࡼ࠺࡟㸪QC1RP ࣎࢔࣮ෆࡢࣅ࣮࣒ࣃ࢖ࣉ⾲㠃࡟ 3 ྎࡢ㉸ఏᑟ⿵ṇ㟁☢▼ࡀ
⾲ 23 ࢡࣛ࢖࢜ࢫࢱࢵࢺࣃ࣓࣮ࣛࢱ
QCS-L
QCS-R
㟁☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺ
┿✵ᐜჾ㛗ࡉ(mm)
2724
3287
┿✵ᐜჾ᭱኱ᚄ (mm)
I1100
I638
┿✵ᐜჾ㔜㔞㸦kg㸧
1570
1472
4 K ෭༷㔜㔞๓᪉㒊㟁☢▼㸦kg㸧
949
805
ᨺᑕ⥺㐽ⶸ㸦kg㸧
495
1271
ᚋ᪉㒊㟁☢▼㸦kg㸧
342
1063
80 K ⇕㍽ᑕ㐽ⶸ㸦kg㸧
45
36ࢧ࣮ࣅࢫᐜჾ
┿✵ᐜჾ㛗ࡉ㸦mm㸧
2757
2757
┿✵ᐜჾ㧗ࡉ (mm)917
917┿✵ᐜჾᖜ㸦mm㸧
900
863┿✵ᐜჾ㔜㔞㸦kg㸧
2523
2501
80 K ⇕㍽ᑕ㐽ⶸ㸦kg㸧
79
77
He ࢞ࢫ෭༷㟁ὶ࣮ࣜࢻ
㏻ᖖ࣮ࣜࢻ
5 ⤌+1
5⤌
8 㟁ᴟ࣮ࣜࢻ
5ྎ
7ྎ
He ࢞ࢫὶ㔞ไᚚᘚ
2ྎ
2ྎ
ᨭᣢᯫྎ
㛗ࡉ㸦mm㸧
3810
3810
㔜㔞㸦kg㸧
6279
6061
ࢩࢫࢸ࣒඲య㛗 㸦mm㸧
6533
7087
㔜㔞㸦kg㸧
12814
15000

ᅗ 47 QCS-R ࢡࣛ࢖࢜ࢫࢱࢵࢺ඲యᅗ࡜Ỉᖹ࣭ᆶ┤᩿㠃ᅗࠋୖ࠿ࡽࠊࢩࢫࢸ࣒඲యእᙧᅗ㸦ୖࠊᶓ࠿ࡽ㸧ࠊỈᖹ᩿㠃ࠊ࣐ࢢࢿࢵࢺࢡࣛ࢖࢜ࢫࢱࢵࢺ
ᆶ┤᩿㠃ࠋᆶ┤᩿㠃ࡣࠊྛ㟁☢▼ࡢ㍈᪉ྥࡢ୰ᚰ
఩⨨ࢆ♧ࡋ࡚࠸ࡿࠋ㸳㸫 31

タ⨨ࡉࢀ㸪ࡲࡓࣅ࣮࣒ㄪᩚࡢࡓࡵ QC1RP ࡢእ࿘࡟ࡣࠊෆ㒊࡟⤌㎸ࡲࢀࡓ☢ᛶయࡀ IP ᪉ྥ࡟ᘬࡁ㎸㒊࡟ࡶ⿵ṇ㟁☢▼ 2 ྎࡀྲྀࡾ௜ࡅࡽࢀ࡚࠸ࡿࠋ

ࡲࢀࡿࠋࡇࡢ㟁☢ຊࡣ⾲ 22 ࡟♧ࡋࡓࠋࢡࣛ࢖࢜ࢫ

QC1RP ᶓࢆ㉮ࡿ HER ࣅ࣮࣒ࣃ࢖ࣉ࡟ࡣ QC1RP

ࢱࢵࢺ࡛ࡣࠊࡇࡢ㟁☢ຊ࡟ᑐࡍࡿᨭᣢ᪉ἲ࡜ࡋ࡚

࠿ࡽࡢ₃ࢀ☢ሙࢆᾘཤࡍࡿࡓࡵࡢ 4 ✀㢮ࡢ㉸ఏᑟࢳࢱࣥྜ㔠(Ti-6Al-4V)ࡢࢧ࣏࣮ࢺࣟࢵࢻ 8 ᮏ࡛࣊⿵ṇ㟁☢▼ࡀྲྀࡾ௜ࡅࡽࢀ࡚࠸ࡿࠋࡇࢀࡽຍ㏿ჾ࣒ࣜ࢘ᐜჾࢆᨭᣢࡍࡿ᪉ᘧࢆ᥇⏝ࡋ࡚࠸ࡿࠋᅗ 48⏝㉸ఏᑟ㟁☢▼ࡣ ESR1 ࡢෆ⟄࡟⤌㎸ࡲࢀ࡚࠸࡟ࠊQCS-R ࢡࣛ࢖࢜ࢫࢱࢵࢺ IP ഃ࣒࣊ࣜ࢘ᐜჾ

ࡿࠋຍ㏿ჾ⏝㉸ఏᑟ㟁☢▼࡜ ESR1 ࡜ࡢ㛫࡟ࡣࠊࡢᨭᣢࣟࢵࢻࡢᵓ㐀ࢆ♧ࡋࡓࠋࣟࢵࢻࡢ㛗ࡉࡣࠊࡇࡢ఩⨨࡛Ⓨ⏕ࡍࡿᨺᑕ⥺࠿ࡽ᳨ฟჾࢆ㐽ⶸࡍIP ഃࡢ 4 ᮏࡀ 75.5 mm ࡛ࠊ཯ IP ഃࡢ 4 ᮏࡀ 108ࡿࢱࣥࢢࢫࢸࣥྜ㔠ࡀ㝽㛫࡞ࡃワࡵ㎸ࡲࢀ࡚࠸mm ࡛࠶ࡿࠋࣟࢵࢻࡢ∦➃ࡣᐊ 㒊࡟ࠊ௚➃ࡣᾮࡿࠋࢡࣛ࢖࢜ࢫࢱࢵࢺඛ㢌㒊ࡢ㟁☢▼ࡢ」㞧࡞㓄య࣒࣊ࣜ࢘ ᗘ࡟⤖ྜࡉࢀ࡚࠸ࡿࠋ

⨨ࡣࠊῧ௜㈨ᩱ㸫1 ࡟♧ࡋࡓ QCS-L IP ഃ࣒࣊ࣜ࢘

ᨭᣢࣟࢵࢻࡣࠊ㟁☢ຊ࡜ࢥ࣮ࣝࢻ࣐ࢫࡢ㔜㔞࡛኱ᐜჾ࡟⤌㎸ࡲࢀࡿ☢▼ࡢ⤌❧෗┿࠿ࡽ⌮ゎࡋ࡚ࡁ࡞ᛂຊࢆཷࡅࡿࠋQCS-R ࡢሙྜࠊ㔜㔞ࡀ 2076 kg㡬ࡁࡓ࠸ࠋࡇࡢࢥ࣮ࣝࢻ࣐ࢫ࡟ࡣࠊ3 ྎࡢ㉸ఏᑟ࡛࠶ࡿࡇ࡜࠿ࡽࠊESR1 ບ☢୰ࡣࣟࢵࢻ࡟స⏝ࡍ

4 ᴟ㟁☢▼࡜ 16 ྎࡢ⿵ṇ㟁☢▼ࡀ⤌㎸ࡲࢀ࡚࠸ࡿ᭱኱ࡢᛂຊࡣ 206 MPa ࡛ࠊບ☢ࡀ↓ࡃ࡞ࡿ࡜ࡿࠋ

152 MPa ࡜࡞ࡿࠋQCS-L ࡜ QCS-R ࡢࣟࢵࢻࡢ᩿

ࢧ࣮ࣅࢫࢡࣛ࢖࢜ࢫࢱࢵࢺ࡟ࡣ㸪㟁ὶ࣮ࣜࢻࡀ

㠃✚ࡣ 182.3 mm2 ࡜ 81 mm2 ࡛タィࡉࢀࠊ᭱኱ᛂຊ

ྲྀ௜ࡅࡽࢀ㸪ࡲࡓ෭෾ᶵ࠿ࡽࡢప 㓄⟶ࡢ᥋⥆ࡀ

ࡣ 174 MPa ࡜ 205 MPa ࡛࠶ࡿࠋࡇࡢᛂຊࡣࠊࢳࢱ

⾜ࢃࢀࡿࠋྛ☢▼ࡣಶู࡟ບ☢ࡉࢀࡿࡇ࡜࠿ࡽ㸪ࣥྜ㔠ࡢᐊ ࡛ࡢ㝆అᛂຊ㸦825 MPa㸧ࡼࡾࡶ༑ศ

QCS-L ࡜ QCS-R ࢡࣛ࢖࢜ࢫࢱࢵࢺ࡟ࡣ㸪ྛࠎ25࡟ᑠࡉ࠸ࠋ⤌㸩1 ᮏ࡜ 30 ⤌1 ᮏࡢ㟁ὶ࣮ࣜࢻࡀྲྀ௜ࡅࡽࢀ
࡚࠸ࡿࠋ
ࠕ1 ᮏࠖࡣࠊESL ࡜ ESR1 ࡢ㛗ᡭ᪉ྥࡢ☢
ሙศᕸㄪᩚ⏝࡟ࢯࣞࣀ࢖ࢻࡢ୰㛫㒊࡟᥋⥆ࡉࢀࡓ㉸ఏᑟࢣ࣮ࣈࣝ⏝㟁ὶ࣮ࣜࢻ࡛࠶ࡿࠋ
㟁☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺෆᾮయ❅⣲⇕ࢩ࣮ࣝ
ࢻࡢᮦ㉁ࡣ SUS304 ࢆ౑⏝ࡋࡓࠋESLࠊESR1ࠊBelleII ࢯࣞࣀ࢖ࢻࡢࢡ࢚ࣥࢳ᫬࡟Ⓨ⏕ࡍࡿࢩ࣮ࣝࢻᯈෆࡢ 㟁ὶ࡟ࡼࡿ㟁☢ຊࡀࠊࢩ࣮ࣝࢻᯈࡢኚᙧ࣭
◚ᦆࡍࡿࡇ࡜ࢆ⪃៖ࡋ࡚㸪⇕ఏᑟ⋡ࡀᑠࡉ࠸ࢫࢸ

ᅗ 48 QCS-R ࢡࣛ࢖࢜ࢫࢱࢵࢺ ,3 ഃ࣒࣊ࣜ࢘ᐜ
ჾࢧ࣏࣮ࢺࣟࢵࢻ㸦ᕥ㸧࡜ࣟࢵࢻタィ㸦ྑ㸧ࣥࣞࢫࢆ⏝࠸ࡓࠋࡇࡢࡓࡵࠊእ㒊࠿ࡽࡢ⇕㈇Ⲵ࡟
ᑐࡍࡿࢩ࣮ࣝࢻෆࡢ ᗘศᕸࢆィ⟬ࡋ㸪ศᕸෆࡢᗘᕪࡀ 5 K ௨ୗ࡟࡞ࡿࡼ࠺࡟タィࡋࡓࠋࢧ࣮ࣅ
ࢫࢡࣛ࢖࢜ࢫࢱࢵࢺෆࡢ⇕ࢩ࣮ࣝࢻ࡟㛵ࡋ࡚ࡣࠊ☢ሙࡢ኱ࡁ࡞ኚ໬ࢆཷࡅࡿࡇ࡜ࡣ↓࠸ࡇ࡜࠿ࡽࠊ

ࡲࡓࠊࡇࡢࣟࢵࢻࡣ࣒࣊ࣜ࢘ᐜჾᨭᣢⅬ㛫ࡢ୰ᚰ఩⨨ࡀ⇕཰⦰ࡼࡾኚ఩ࡋ࡞࠸ࡼ࠺࡟ᐜჾ㍈ࡢᆶ⥺࡟ᑐࡋ࡚ഴࡁࢆᣢࡗ࡚࠸ࡿࠋᐊ࡛ࡢゅᗘࡣࠊIP ഃ࡜཯ IP ഃࡢࣟࢵࢻ࡟ᑐࡋ࡚ࠊ20.16 ᗘ࡜࢔࣑ࣝྜ㔠ࢆ㑅ᢥࡋࡓࠋ

20.74 ᗘ࡛࠶ࡿࡀࠊ4 K ࡟෭༷ࡉࢀࡓ᫬Ⅼ࡛⇕཰⦰ ࢡࣛ࢖࢜ࢫࢱࢵࢺࡢᶵᲔタィ⦰࡟ࡼࡿᙳ㡪࡛ࠊᐊ ࡛⤌ࡳ❧࡚ࡓ㉸ఏᑟ 4 ᴟ㟁࡟ࡼࡾ 18.83 ᗘ࡜ 19.72 ᗘ࡟ኚ໬ࡍࡿࠋࡇࡢ⇕཰㉸ఏᑟ㟁☢▼ࢩࢫࢸ࣒ࢆᵓᡂࡍࡿ⿵ൾࢯࣞࣀ
࢖ࢻ ESR1 ࡜ ESL ࡣࠊBelle-II ࢯࣞࣀ࢖ࢻ࡜ࡣ㏫
ྥࡁࡢ☢ሙࢆⓎ⏕ࡍࡿࡓࡵࠊບ☢୰ࡣ IP ࠿ࡽᢲࡋฟࡍ᪉ྥ࡟㟁☢ຊࡀస⏝ࡍࡿࠋࡲࡓࠊESR1 ࡜ ESLࡀບ☢ࡉࢀ࡞࠸㸦ࢡ࢚ࣥࢳࡋࡓ᫬ࡶྵࡵ࡚㸧ሙྜ☢▼ࡢ୰ᚰ఩⨨ࡣ 4 K ࡛ኚ఩ࡍࡿࡀࠊࢡࣛ࢖࢜ࢫ
ࢱࢵࢺෆࡢᵓᡂ㒊ရࡣࠊࡇࡢ⇕཰⦰࡟ࡼࡿኚ໬ࢆ
⪃៖ࡋ 4 ᴟ㟁☢▼ࡀ෭༷ᚋ࡟ࣅ࣮࣒ගᏛ࡛せồࡉࢀ ࡓ఩ ⨨࡟㓄 ⨨ࡉ ࢀࡿࡼ ࠺タ ィࡉࢀ ࡚࠸ ࡿࠋ
QC1RP ࡢሙྜࠊ☢▼୰ᚰ఩⨨ࡣࢡࣛ࢖࢜ࢫࢱࢵࢺ

㸳㸫 32

㍈᪉ྥ࡟ 2.35 mmࠊỈᖹ᪉ྥ࡟ 0.12 mm ኚ఩ࡍ࢔࣑ࣝࢆ⵨╔ࡋ࡚࠸ࡿࠋ࢔࣑ࣝࡢ 4 K ࡛ࡢ⇕㍽ᑕ

ࡿࠋ⋡ࡣ 0.02 ௨ୗࡲ࡛ᑠࡉࡃ࡞ࡾࠊࡇࡢຠᯝ࡟ࡼࡾ࢔

 ࢡࣛ࢖࢜ࢫࢱࢵࢺࡢ⇕タィ࡜෭༷ࢩࢫࢸ
࣒࣑ࣝ⵨╔ࡋ࡚࠸࡞࠸ SUS316L ࡢᐜჾ࡬ࡢ㍽ᑕ࡟ࡼࡿ౵ධ⇕࡜ẚ㍑ࡋ࡚ࠊ50%௨ୖ⇕㍽ᑕ࡟ࡼࡿ౵
ධ⇕ࢆᑠࡉࡃ࡛ࡁࡿࠋ

QCS ㉸ఏᑟ㟁☢▼ࡣ㸪ᶓᆺࢡࣛ࢖࢜ࢫࢱࢵࢺ࡟

ࡲࡓࠊQCS-R ࡜ QCS-L ࢧ࣮ࣅࢫࢡࣛ࢖࢜ࢫࢱ

⤌㎸ࡲࢀ࠿ࡘ✵㛫ⓗ࡞ไ⣙࠿ࡽ༑ศ࡞⇕㐽ⶸ࣭⇕ࢵࢺ࡟ࡣྛ☢▼ࢆ༢⊂ບ☢࡛ࡁࡿࡼ࠺࡟ 69 ᮏ/61

⤯⦕ࢆ 4 K 㒊࡟᪋ࡍࡇ࡜ࡀ࡛ࡁ࡞࠸ࡇ࡜࠿ࡽࠊ㟁ᮏࡢ㟁ὶ࣮ࣜࢻࡀྲྀ௜ࡅࡽࢀ࡚࠸ࡿࠋࡇࡢ㟁ὶࣜ☢▼ࢆᏳᐃ࡟෭༷ࡍࡿࡓࡵ㐣෭༷ࡢ༢┦ᾮయ࣮࣊ࢻࡢ෭༷ࡢࡓࡵ࡟㸪ྛࢡࣛ࢖࢜ࢫࢱࢵࢺ࡛ 1 g/s࣒ࣜ࢘㸦LHe㸧ࢆ⏝࠸࡚࠸ࡿࠋ㟁☢▼㏻㟁᫬ࡢࢡࡢ 4 K ࡢ LHe ࡀ౑⏝ࡉࢀࡿࠋ

ࣛ࢖࢜ࢫࢱࢵࢺධཱྀ㒊ࡢ LHe ࡢ≧ែࡣࠊ
ᅽຊ 0.152 ྎࡢࢡࣛ࢖࢜ࢫࢱࢵࢺࡣࠊ2017 ᖺ 3 ᭶࡟ࣅ࣮MPaࠊ ᗘ 4.4 K ࡛࠶ࡿࠋࢡࣛ࢖࢜ࢫࢱࢵࢺ࡬ࡢ

࣒ࣛ࢖ࣥ࡬タ⨨࣭෭༷ࢩࢫࢸ࣒࡬ࡢ᥋⥆ࡀ᏶஢ࡋ

㐣෭༷ LHe ࡢタィ࢞ࢫὶ㔞ࡣ 20 g/s ࡛ࠊࡇࡢ LHeࡀ༢┦ὶ࡛࠶ࡿチᐜ⇕㈇Ⲵࡣ 32.8 W ࡛࠶ࡿࠋ⾲ 24 ࡟ࢡࣛ࢖࢜ࢫࢱࢵࢺࡢタィ⇕㈇Ⲵࢆ♧ࡋ
ࡓࠋQCS-L ࡜ QCS-R 㟁☢▼ࢡࣛ࢖࢜ࢫࢱࢵࢺࡢ
4 K ࡬ࡢ౵ධ⇕ࡣࠊ16.3 W ࡜ 15.9 W ࡛ LHe ࡣ༢┦ὶࡢ≧ែ࡟࠶ࡿࠋ⇕㈇Ⲵࡢࣜࢫࢺ࠿ࡽ࣒࣊ࣜ࢘
ᐜჾ࡬ࡢ౵ධ⇕࡛ࡣࠊ⇕㍽ᑕ࡟ࡼࡿ⇕㈇Ⲵࡀ኱ࡁ
࡞๭ྜࢆ༨ࡵ࡚࠸ࡿࡇ࡜ࡀศ࠿ࡿࠋࢡࣛ࢖࢜ࢫࢱ
ࢵࢺෆࡢ✵㛫ⓗไ⣙࠿ࡽࠊᐊ ࡢࣅ࣮࣒ࣃ࢖ࣉ࡜
4K ࡢ࣒࣊ࣜ࢘ᐜჾෆ㠃࡜ࡢ㛫࡟୍⯡ⓗ࡟పᶵჾ࡛౑⏝ࡉࢀࡿ⇕㐽ⶸࡢ᪉ἲࢆ⏝࠸ࡿࡇ࡜ࡀ࡛
ࡁ࡞࠸ࠋࣅ࣮࣒ࣃ࢖ࣉእ࿘㸦ᐊ 㸧࡟ࡣ 5 ᒙࡢࢫ࣮ࣃ࣮࢖ࣥࢩ࣮ࣗࣞࢩࣙࣥࡀᕳ࠿ࢀ࡚࠶ࡿࡀࠊࡇ
ࢀ࡛ࡣ୙༑ศ࡛ࠊ⇕㍽ᑕ࡟ࡼࡿ⇕㈇Ⲵࢆᢚ࠼ࡿࡓ
ࡵ࡟ SUS316L ࡢ࣒࣊ࣜ࢘ᐜჾෆ㠃ࢆ㙾㠃ຍᕤࡋ⾲ 24 䜽䝷䜲䜸䝇䝍䝑䝖タィ⇕㈇Ⲵ
QCS-L
QCS-R
☢▼䜽䝷䜲䜸䝇䝍䝑䝖䝃䝫䞊䝖䝻䝑䝗
9.7 W
5.8 W
⇕㍽ᑕ
6.6 W
10.1 W
Sub-total
16.3 W
15.9 W䝃䞊䝡䝇ᐜჾ
⇕㍽ᑕ
1.9 W
2.1 W
ఏᑟ⇕㈇Ⲵ
䝟䜲䝥
11.5 W
12.5 Wప 㓄⟶䞉ᘚ
6.0 W
6.0 W
ಙྕ⥺
3.8 W
3.4 W
䝸䞊䝗෭༷䜺䝇
1.0 g/s
1.0 g/s
Sub-total
23.2W+1.0g/s 24.0W+1.0g/s
Total
40.5W+1.0g/s 40.7W+1.0g/s

ᅗ 49 SuperKEKB ࣅ࣮࣒⾪✺Ⅼ࡟タ⨨ࡉࢀࡓ QCSL ࡜ QCS-R ࢡࣛ࢖࢜ࢫࢱࢵࢺ

ᅗ 50 Belle-II ᳨ฟჾ࡟⤌㎸ࡲࢀࡿ QCS-L ࢡࣛ࢖
࢜ࢫࢱࢵࢺ

㸳㸫 33

ࡓࠋࡇࡢᵝᏊࢆᅗ 49 ࡟♧ࡋࡓࠋᡭ๓࡟෗ࡗ࡚࠸ࡿ

㧗ࢡࣛ࢖࢜ࢫࢱࢵࢺࡀ QCS-Rࠊዟࡀ QCS-L ࡛࠶ࡿࠋ࠸ࠊ෭෾ᶵ࡬ࡢ㈇Ⲵࢆపῶࡍࡿࡇ࡜ࡀᚲせ࡜࡞

QCS-L ࡢᚋ᪉࡟ຍ㏿ჾࣜࣥࢢ࡟タ⨨ࡉࢀࡓᖖఏ

ࡿࠋᑟ㟁☢▼ࡀぢ࠼ࡿࠋࡲࡓ㸪ᅗ୰ྑୖ࡟ぢ࠼ࡿࡢࡀ
QCS-L ⏝࣒࣊ࣜ࢘෭෾ᶵ࡛࠶ࡿࠋ
ᅗ 50 ࡟ࡣࠊ
Belle-

9. ࡲ࡜ࡵ

II ᳨ฟჾ࡟⤌ࡳࡇࡲࢀࡓ QCS-L ࢡࣛ࢖࢜ࢫࢱࢵ
ࢺࢆ♧ࡋࡓࠋ

㉸ఏᑟయࢆ⏝࠸ࡓ㟁ὶ࣮ࣜࢻ࡬ࡢᨵ㐀ࢆ⾜SuperKEKB ࡣࠊKEKB ຍ㏿ჾࡀグ㘓ࡋࡓ࣑ࣝࣀ
ࢩࢸ࢖࣮ࡢ 40 ಸࢆ┠ᶆ࡜ࡋ࡚タィ࣭ᘓタࡉࢀࠊ

᭱ᚋ࡟ࠊQCS ㉸ఏᑟ㟁☢▼ࢆ㉸ఏᑟ≧ែ࡜ࡍࡿ2018 ᖺ 4 ᭶࠿ࡽ 2022 ᖺ 6 ᭶ࡲ࡛┠ᶆ࣑ࣝࣀࢩࢸ

෭༷ࢩࢫࢸ࣒࡟ࡘ࠸࡚⡆༢࡟ㄝ᫂ࡍࡿࠋ෭༷ࢩࢫ

࢖࣮ࢆ┠ᣦࡋ࡚㠀ᖖ࡟⧄⣽࡞ࣅ࣮࣒㐠㌿ࢆ⾜ࡗࢸ࣒ࡣࠊ࣒࣊ࣜ࢘෭෾ᶵࠊᅽ⦰ᶵࠊ㐣෭༷ჾࠊᾮ

࡚࠸ࡿࠋ࣑ࣝࣀࢩࢸ࢖࣮ࡣࠊBelle-IIయ❅⣲㈓ᵴ㸦CE㸧ࠊప୰࡛ࡣ 4.651034cm-2s-1 ࡲ࡛฿㐩ࡋࠊຍ㏿ჾࡢࡳ㓄⟶ࠊィ⿦✵Ẽᅽ⦰ᶵ࠿ࡽᵓᡂࡉࢀ࡚࠸ࡿࠋ౑⏝ࡉࢀ࡚࠸ࡿ࣒࣊ࣜ࢘෭෾ᐃჾ㐠㌿ࡢ㐠㌿᫬࡟ࡣ 4.7071034cm-2s-1 ࡟㐩ࡋ࡚࠸ࡿࠋ

ᶵࠊᅽ⦰ᶵࠊCE ࡣࠊ1989 ᖺ࡟㧗࢚ࢿࣝࢠ࣮≀⌮ࣅ࣮࣒᭱⤊㞟᮰⏝㉸ఏᑟ㟁☢▼ࡣࠊࡇࢀࡲ࡛኱

Ꮫ◊✲ᡤ㸦⌧ᶵᵓ㸧ࡢࠕTRISTANࠖຍ㏿ჾࣅ࣮࣒ࡁ࡞ࢺࣛࣈ࡛ࣝࣅ࣮࣒㐠㌿ࢆ㛗ᮇ㛫೵Ṇࡍࡿࡇ⾪✺⏝㉸ఏᑟ 4 ᴟ㟁☢▼ࡢ෭༷ࢩࢫࢸ࣒࡜ࡋ࡚౑

࡜ࡣ࡞࠿ࡗࡓࡀࠊ௒ᚋ௨ୗࡢⅬࢆᨵၿ࣭⌮ゎࢆ㐍⏝ࡉࢀࡓᶵჾ࡛ࠊQCS-L ⏝ࡣ KEKB ຍ㏿ჾ QCS

ࡵࡿࡇ࡜࡛ࠊຠ⋡ⓗ࡞ࣅ࣮࣒㐠㌿ࡸ௒ᚋࡢࢩࢫࢸ

࡟౑⏝ࡉࢀࠊ௒ᅇ SuperKEKB ⏝࡟෌ㄪᩚࡋ࡚౑

࣒ᨵⰋ࡟ᐤ୚࡛ࡁࡿ࡜⪃࠼࡚࠸ࡿࠋ

⏝ࡉࢀ࡚࠸ࡿࠋQCS-R ⏝ࡣࠊ1995 ᖺ࡟ TRISTAN

1㸬ࣅ࣮࣒࡟ࡼࡿ㉸㟁ᑟ㟁☢▼ࢡ࢚ࣥࢳⓎ⏕ሙຍ㏿ჾ㐠㌿⤊஢ᚋࠊ୍᫬෭༷ᶵჾヨ㦂⏝࡜ࡋ࡚㐠ᡤ࡜㢖ᗘࠋ㌿ࡉࢀࡓࡀ㛗ᮇ࡟ࢃࡓࡾಖ⟶ࡉࢀ࡚࠸ࡓࠋ2 ྎࡢ2㸬4 ᴟ㟁☢▼ࠊ⿵ṇ☢▼ࡢ☢ሙ≉ᛶࡢ᭦࡟⢭ᐦ࣒࣊ࣜ࢘෭෾ᶵ࡜ᅽ⦰ᶵࡣࠊྠࡌ㐠㌿ࣃ࣓࣮ࣛࢱ

࡞⌮ゎࠋ4 ᴟ☢ሙࡢ㛗ᮇ᫬㛫ኚືࠊ㉸ఏᑟࢣ

ࢆᣢࡕࠊ4.4 K ࡛ 250W ࡢ෭෾⬟ຊࢆᣢࡘࠋ෭༷ࢩ

࣮ࣈࣝࡢࣄࢫࢸࣜࢩࢫࡢ⌮ゎࠊ➼ࠋࢫࢸ࣒ࡢࣃ࣓࣮ࣛࢱࢆ⾲ 25 ࡟⧳ࡵࡓࠋ⌧ᅾࡲ࡛

3㸬෭෾ᶵࢩࢫࢸ࣒෭෾⬟ຊࡢᨵၿࠊࢡࣛ࢖࢜

ࡢࣅ࣮࣒㐠㌿࡛ࡣࠊࢩࢫࢸ࣒࡜ࡋ࡚వ๫෭෾⬟ຊࢫࢱࢵࢺ⇕㈇Ⲵࡢపῶࠋ

ࡣ ᗘ 4.5 K ࡛ 20W ⛬ᗘ࡛࠶ࡿࡀࠊ඲࡚ࡢ㉸ఏᑟ

4㸬෭༷ࢩࢫࢸ࣒ࢆྵࡵࡓ QCS ࢩࢫࢸ࣒඲యࡢ

㟁☢▼ࢆᏳᐃ࡟㐠㌿ࡍࡿࡇ࡜ࡀ࡛ࡁ࡚࠸ࡿࠋ㐠㌿≧ែ࡜ຍ㏿ჾࣅ࣮࣒㐠㌿≧ែ࡜ࡢ㛵㐃௒ᚋࠊࣅ࣮࣒㟁ὶ್ࡀቑຍࡋࠊ㉸ఏᑟ㟁☢▼ࢩ௜ࡅࢆྍ⬟࡟ࡍࡿࣔࢽࢱ࣮ࠊࢹ࣮ࢱ཰㞟ࢩࢫࢸ࣒࡬ࡢ⇕㈇Ⲵࡀ኱ࡁࡃ࡞ࡿሙྜ࡟ࡣࠊࢡࣛ࢖

ࢫࢸ࣒ࡢ☜❧ࠋ࢜ࢫࢱࢵࢺഃࡢ⇕㈇Ⲵࢆపῶࡍࡿᚲせࡀ࠶ࡿࠋ⌧5㸬㉸ఏᑟ㟁☢▼ບ☢ᡭἲࡢ⮬ື໬ࠊᡈ࠸ࡣ༢

ᅾ᭱኱ࡢ⇕㈇Ⲵ࡜࡞ࡗ࡚࠸ࡿࡢࡣࠊ㟁ὶ࣮ࣜࢻ࡛

➼ࠊ࡛࠶ࡿࠋ

⾲ 25㻌 ෭༷ᶵჾ䠄QCS-L, QCS-R ྛ 1 䝴䝙䝑䝖䠅䝦䝸䜴䝮෭෾ᶵ෭෾⬟ຊ@4.4K
ᅽ⦰ᶵ
᭱኱㢼㔞
Ἔศ㞳⿦⨨
䝦䝸䜴䝮䝍䞁䜽
䝦䝸䜴䝮㐣෭༷ჾ
⇕஺᥮ჾ䝦䝸䜴䝮䝍䞁䜽య✚ᾮయ❅⣲㈓ᵴ

⣧໬ࠋ䜽䝻䞊䝗䝃䜲䜽䝹ᆺ
250 W䠄ᾮయ❅⣲౑⏝䠅䝇䜽䝸䝳䞊ᆺ
1250 Nm3/h4ჾ
3
V=20m u2䚸P=2.06 MPa
V=200 L䝣䜱䞁௜䛝㖡⟶ 32m
䜽䜶䞁䝏᫬⵨Ⓨ䜺䝇ᅇ཰
V=5m3䚸P=0.395MPa
V=9800 L௨ୖࡢㄢ㢟ࡣࠊ┤᥋࣑ࣝࣀࢩࢸ࢖࣮ࢆ㧗ࡵࡿࡶࡢ࡛ࡣ࡞࠸ࡀࠊ㛗ᮇ㐠㌿࡛ࡣ㝈ࡽࢀࡓ᫬㛫ෆ࡛ࡢࣅ࣮࣒ಖᣢ᫬㛫ࢆ㧗ࡵࠊ✚ศ࣑ࣝࣀࢩࢸ࢖࣮ࡢྥ
ୖ࡟ᐤ୚࡛ࡁࡿࡶࡢ࡜⪃࠼࡚࠸ࡿࠋ
ㅰ㎡
SuperKEKB ࣅ࣮࣒᭱⤊㞟᮰⏝㉸ఏᑟ㟁☢▼ࢩࢫࢸ࣒ࡣࠊ㉸ఏᑟ㟁☢▼ࡢ㛤Ⓨ࣭ᘓタ௨እ࡟ࡶከ
ࡃࡢඛ➃ᢏ⾡ࢆᚲせ࡜ࡋࡲࡋࡓࠋKEKB 㟁☢▼ࢢ㸳㸫 34࣮ࣝࣉࠊගᏛࢢ࣮ࣝࣉࠊKEKB IR ࢢ࣮ࣝࣉࠊᶵᲔ
ᕤᏛࢭࣥࢱ࣮ࠊ㉸ఏᑟప ᕤᏛࢭࣥࢱ࣮ࠊBNL ㉸ఏᑟ㟁☢▼ࢢ࣮ࣝࣉࠊFNAL ㉸ఏᑟ㟁☢▼ࢢ࣮ࣝ
ࣉࠊBelle-II ࢢ࣮ࣝࣉࡢⓙᵝ࡟ࡣࠊከ኱࡞ࡿ༠ຊࢆ
㡬ࡁឤㅰࡋ࡚࠸ࡲࡍࠋཧ ⪃ ᩥ ⊩
[1] SuperKEKB design report, 
https://kds.kek.jp/event/15914/[2] H. Koiso., “Colliders for B-Factories”, Proc. of
IPAC’11, 2011, pp. 1931-1935.
[3] N. Ohuchi, et al., “SuperKEKB beam final focus
superconducting magnet system”, NIM-A, 1021
(2022) 165930.
[4] ኱ෆ ᚨேࠊ௚ࠕSuperKEKB ࣅ࣮࣒᭱⤊㞟᮰㉸ఏᑟ㟁☢▼ࠖࠊప ᕤᏛ 54 ᕳ 1 ྕࠊ2019 ᖺࠊ
pp. 23-32ࠋ
[5] ኱ෆ ᚨேࠊ
ࠕSuperKEKB ࣅ࣮࣒᭱⤊㞟᮰⏝㉸ఏᑟ㟁☢▼ࡢ〇సࠖ
ࠊຍ㏿ჾ 15 ᕳ 4 ྕࠊ2018ᖺࠊpp. 1-10ࠋ

[6] K. -H. MeE, “Superconducting Accelerator
Magnets”, CERN 89-04, 10 March 1989, pp. 87148.
[7] L. Rossi and L. Bottura, “Superconducting
Magnets for Particle Accelerators”, CERN-ATS2013-019.
[8] B. Parker, et al., “BNL Direct Wind
Superconducting Magnets”, IEEE Transactions on
Applied Superconductivity, Vol. 22, No. 3, June
2012, 4101604.
[9] W. G. Davies, “The theory of the measurement ofmagnetic multipole fields with rotating coilmagnetometers”, NIM-A, 311 (1992), pp. 399436.
[10]Animesh K. Jain, “Harmonic coils”, CERN 98-05,
4 August 1998, pp. 175-217.
[11]Y. Arimoto, et al, “Magnetic measurement withsingle stretched wire method on SuperKEKB final
focus quadrupoles”, in Proc. of IPAC2019,
Melbourne, Australia, May 2019, pp.432-435.
[12]J. DiMarco, et al., “Field alignment of quadrupole
magnets for the LHC interaction regions”, IEEE
Trans. on Applied Superconductivity, Vol. 10, No.
1, March 2000, pp. 127-130.

㸳㸫 35

ῧ௜㈨ᩱ

ῧ௜㈨ᩱ-1 QCS-L ඛ㢌㒊࣒࣊ࣜ࢘ᐜჾෆ 3 ྎࡢ㉸ఏᑟ 4 ᴟ㟁☢▼ࠊ12 ྎࡢ㉸ఏᑟ⿵ṇ☢▼ࠊ4 ྎࡢ
QC1LP ₃ࢀ☢ሙ࢟ࣕࣥࢭࣝ㉸ఏᑟ㟁☢▼⤌❧᫬≧ែᅗῧ௜㈨ᩱ-2 ୖグ㟁☢▼ࢆ㔠ᒓ࢝ࣂ࣮ᅛᐃ

ῧ௜㈨ᩱ-3  QC1LPࠊQC1LE 㒊࡟ ESL ࢯࣞࣀ࢖ࢻࢆᅛᐃ

ῧ௜㈨ᩱ-4 ࢱࣥࢢࢫࢸࣥࢩ࣮ࣝࢻࡢྲྀ௜ࡅ

㸳㸫 36