ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

3. ྛ◊✲㒊㛛ࡢሗ࿌I. ⣲⢏Ꮚ≀⌮◊✲㒊㛛
1.

࣓ࣥࣂ࣮

ᩍᤵ

㟷ᮌ ៅஓࠊᏱᕝ ᙲ㸦ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ࣇ࢙࣮ࣟ㸧ࠊ㔠㇂ ࿴⮳㸦ඹྠ◊✲ဨ㸧෸ᩍᤵ     ▼ሯ ᡂேࠊ⸝ቑ ჆ఙࠊྜྷỤ ཭↷ࠊ▼஭ ⌮ಟࠊ᰿ᮧ ⱥඞ
ㅮᖌ

㇂ཱྀ ⿱௓

◊✲ဨ     ᾋ⏣ ᑦဢࠊబࠎᮌ ೺ᚿࠊ⁥ᕝ ⿱௓2.

ᴫせ ᙜ㒊㛛࡛ࡣ㸪ᮏᖺᗘࡶ᱁Ꮚ QCD ࡢ኱ᆺࢩ࣑࣮ࣗࣞࢩࣙࣥ◊✲ࡢศ㔝࡛άⓎ࡞◊✲άືࡀ⾜ࢃࢀࡓࠋ᱁Ꮚሙࡢ⌮ㄽࢢ࣮ࣝࣉࡢ◊✲⪅ࡢ኱㒊ศࡣࠊ2006 ᖺ 7 ᭶࡟ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ࡢḟᮇ୪ิィ⟬ᶵ࡜ࡋ࡚ PACS-CS ࡀᑟධࡉࢀࡓࡢࢆዎᶵ࡜ࡋ࡚᪂ࡓ࡟❧ࡕୖࡆࡽࢀࡓ◊✲ࢢ࣮ࣝࣉ PACS-CS Collaboration ࡟ཧຍࡋ࡚࠸ࡿࠋPACS-CS
Collaboration ࡛ࡣࠊィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ࡢ PACS-CS ࡸ T2K-Tsukuba ࢆ୺せ࡞ィ⟬ᶵ㈨※࡜ࡋ࡚ࠊQCD ࡟㛵ࡍࡿ㏆ఝࡢ࡞࠸≀⌮ⓗணゝࢆ⾜࠺ࡇ࡜ࢆ┠ⓗ࡜ࡋ࡚ࠊ3 ✀㢮㸦upࠊdownࠊstrange㸧ࡢ㍍࠸ࢡ࢛࣮ࢡࢆࡑࡢ≀⌮ⓗ㉁㔞㸦≀⌮Ⅼ㸧࡟࠾࠸࡚ືⓗ࡟ᢅ࠺ Nf=2+1 QCD ࡢ኱つᶍࢩ࣑࣮ࣗࣞࢩࣙࣥࢆ㐍ࡵ࡚ࡁࡓࠋ᭦࡟Ⓨᒎⓗㄢ㢟࡜ࡋ࡚ࠊupࠊdown ࢡ࢛࣮ࢡ㛫ࡢ㉁㔞ᕪࡸ㟁☢┦஫స⏝ࢆྲྀࡾධࢀࡿ Nf=1+1+1 QCD ࡢ◊✲ࡸࠊ
᱁Ꮚ QCD ࡟ࡼࡿ He ཎᏊ᰾ࡢ◊✲࡞࡝ࡶ᥎㐍ࡋࡓࠋPACS-CS Collaboration ࡣ 2011
ᖺ 9 ᭶ᮎࡢ PACS-CS ᶵࢩࣕࢵࢺࢲ࢘ࣥ࡟కࡗ࡚ゎᩓࡋࡓࡀࠊࡇࢀࡲ࡛ྲྀࡾ⤌ࢇ࡛ࡁࡓ◊✲ㄢ㢟ࡣ HPCI ᡓ␎ࣉࣟࢢ࣒ࣛศ㔝㸳㸦ᚋ㏙㸧࡟࠾ࡅࡿ◊✲㛤Ⓨㄢ㢟࡜ࡋ࡚Ⓨᒎⓗ࡟ᘬࡁ⥅ࡀࢀ࡚࠸ࡿࠋࡉࡽ࡟ࠊࡇࢀ࡜୪⾜ࡋ࡚ࠊ㧗࢚ࢿࣝࢠ࣮ຍ㏿ჾ◊✲ᶵᵓ㸦KEK㸧࡜ඹྠࡋ࡚࢝࢖ࣛࣝࣇ࢙࣑ࣝ࢜ࣥࢆ⏝࠸ࡓ◊✲ࢆ᥎㐍ࡋ࡚࠸ࡿ JLQCD Collaborationࡸࠊ᰾Ꮚ㛫࣏ࢸࣥࢩࣕࣝࡸࣁࢻࣟࣥ㛫┦஫స⏝ࡢ◊✲࡟ྲྀࡾ⤌ࢇ࡛࠸ࡿ HAL QCD
Collaborationࠊ᭷㝈ᗘ࣭᭷㝈ᐦᗘ QCD ࡢ◊✲ࢆ᥎㐍ࡋ࡚࠸ࡿ WHOT-QCD

Collaboration ࡞࡝࡛ࠊάⓎ࡞◊✲ࢆ⾜ࡗࡓࠋࡉࡽ࡟ࠊ᱁Ꮚ QCD 㓄఩ࡸࡑࡢ௚ࡢࢹ࣮
ࢱࢆඹ᭷ࡍࡿⅭࡢࢹ࣮ࢱࢢࣜࢵࢻ ILDG/JLDG ࡢᵓ⠏࣭ᩚഛࢆ᥎㐍ࡋࡓࠋ ୍᪉ࠊᅜෆࡢィ⟬⛉Ꮫ඲యࡢືྥ࡜ࡋ࡚ࠊࠕிࠖࢥࣥࣆ࣮ࣗࢱࢆ୰᰾࡜ࡋࡓ㠉᪂ⓗࣁ࢖ࣃࣇ࢛࣮࣐ࣥࢫ࣭ࢥࣥࣆ࣮ࣗࢸ࢖ࣥࢢ࣭࢖ࣥࣇࣛࡢᵓ⠏ࢆ୺ᑟࡍࡿࡓࡵ࡟ࠊࠕHigh
Performance Computing Infrastructure㸦HPCI㸧ᡓ␎ࣉࣟࢢ࣒ࣛࠖࡀᩥ㒊⛉Ꮫ┬࡟ࡼࡾ᥎㐍ࡉࢀ࡚࠸ࡿࠋࡑࡢ HPCI ᡓ␎ࣉࣟࢢ࣒ࣛࡢ㸳ࡘࡢᡓ␎ศ㔝ࡢ㸯ࡘ࡜ࡋ࡚ࠊ㟷ᮌࡀ⤫ᣓ㈐௵⪅ࢆດࡵࡿศ㔝㸳ࠕ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࠖࡀ᥇ᢥࡉࢀࠊ2011 ᖺᗘ࠿ࡽᮏ
᱁ⓗ࡟άືࡀጞࡲࡾࠊ2012 ᖺᗘࡣࠊ⛅࠿ࡽ୍⯡฼⏝ࡀ㛤ጞࡉࢀࡓࠕிࠖࢥࣥࣆ࣮ࣗࢱ
ࢆ୰ᚰ࡟ࠊࡑࡢ◊✲άືࡀάⓎ໬ࡋ࡚࠸ࡿࠋヲࡋ࠸άືෆᐜࡣࠊ
http://www.jicfus.jp/field5/jp/ࢆཧ↷ࡋ࡚࠸ࡓࡔࡁࡓ࠸ࠋ
11

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩ࡲࡓࠊศ㔝㸳ࡢᡓ␎ࣉࣟࢢ࣒ࣛࢆᐇ᪋ࡍࡿᶵ㛵ࡣࠊ㟷ᮌࡀᣐⅬ㛗ࢆດࡵࡿࠕィ⟬ᇶ♏⛉Ꮫ㐃ᦠᣐⅬ࡛ࠖ࠶ࡿࡀࠊࡑࡢάືࡣࠊhttp://www.jicfus.jp/jp ࡟ヲࡋ࠸ࠋ
3.

◊✲ᡂᯝ

࠙㸯ࠚPACS-CS Collaboration ࡢάື㸦඲ဨ㸧 ᙜࢭࣥࢱ࣮࡛ࡣࠊᖹᡂ 17 ᖺᗘ࠿ࡽ 3 ࣨᖺィ⏬࡛≉ูᩍ⫱◊✲⤒㈝㸦ᣐⅬᙧᡂ㸧ࢆཷࡅ࡚㛤Ⓨ࣭〇సࡀ㐍ࡵࡽࢀ࡚ࡁࡓ㉸୪ิࢡࣛࢫࢱィ⟬ᶵ PACS-CS㸦ィ⟬ࣀ࣮ࢻᩘ 2560ࠊ
ࣆ࣮ࢡ₇⟬ᛶ⬟ 14.3Tflops㸧ࡀᖹᡂ 18 ᖺ 7 ᭶࠿ࡽ✌ാࢆ㛤ጞࡋࡓࠋPACS-CS
Collaboration ࡣ PACS-CS ࢆ୺せ࡞ィ⟬タഛ࡜ࡋ࡚᱁Ꮚ QCD ࡢ◊✲ࢆ⾜࠺ࡇ࡜ࢆ┠ⓗ࡜ࡋࠊ⟃Ἴ኱Ꮫ≀⌮Ꮫᇦ࣓ࣥࣂ࣮ࢆ୰ᚰ࡜ࡋ࡚⤌⧊ࡉࢀ࡚࠸ࡿࠋࡑࡢ┠ᶆࡣࠊ3 ✀㢮㸦upࠊdownࠊstrange㸧ࡢ㍍࠸ࢡ࢛࣮ࢡࢆࡑࡢ≀⌮ⓗ㉁㔞㸦≀⌮Ⅼ㸧࡟࠾࠸࡚ືⓗ࡟ᢅ࠺ࢩ࣑࣮ࣗࣞࢩࣙࣥࢆ⾜࠸ࠊQCD ࡟㛵ࡍࡿ㏆ఝࡢ࡞࠸≀⌮ⓗணゝࢆ⾜࠺ࡇ࡜࡛࠶ࡿࠋ
ᖹᡂ 18ࠊ19 ᖺᗘ࠿ࡽ≀⌮Ⅼ࡬ྥࡅ࡚ up-down ࢡ࢛࣮ࢡ㉁㔞ࢆẁ㝵ⓗ࡟㍍ࡃࡋࠊᖹᡂ
20 ᖺᗘࡼࡾ PACS-CS ࣉࣟࢪ࢙ࢡࢺࡢ┠ᶆ࡛࠶ࡿ≀⌮Ⅼ࡛ࡢࢩ࣑࣮ࣗࣞࢩࣙࣥ࡬ࡢྲྀ
ࡾ⤌ࡳࢆ㛤ጞࡋࠊᖹᡂ 21 ᖺᗘ࡟ࠊreweighting ἲࢆ⏝࠸ࡓ≀⌮Ⅼ┤ୖ࡛ࡢࢩ࣑࣮ࣗࣞ
ࢩࣙࣥ࡟ᡂຌࡋࡓࠋࡑࡢᚋࠊ1+1+1 ࣇ࣮ࣞࣂ࣮QCD+QED ࢩ࣑࣮ࣗࣞࢩࣙࣥࡢ㛤Ⓨ࡟ྲྀࡾ⤌ࡳࠊupࠊdown ࢡ࢛࣮ࢡࡢ㉁㔞ᕪ࡜㟁☢┦஫స⏝ࢆ reweighting ἲ࡟ࡼࡗ࡚
ྲྀࡾධࢀࡿࡇ࡜࡟ᡂຌࡋࠊᖹᡂ 24 ᖺᗘ࡟ࡑࡢᡂᯝࢆㄽᩥ࡜ࡋ࡚Ⓨ⾲ࡋࡓࠋ ࡞࠾ࠊPACS-CS ࡣᖹᡂ 23 ᖺ 9 ᭶ᮎࢆࡶࡗ࡚㐠⏝ࢆ⤊஢ࡋࠊᖹᡂ 24 ᖺ 2 ᭶ࡼࡾᚋ⥅ᶵ࡜࡞ࡿᐦ⤖ྜ୪ิ₇⟬ຍ㏿ᶵᵓᐇドࢩࢫࢸ࣒ HA-PACS㸦ィ⟬ࣀ࣮ࢻᩘ 268ࠊGPU㒊ࣆ࣮ࢡ₇⟬ᛶ⬟ 713TflopsࠊCPU 㒊ࣆ࣮ࢡ₇⟬ᛶ⬟ 89Tflops㸧ࡀ✌ാࢆ㛤ጞࡋࡓࠋ㸦1㸧1+1+1 ࣇ࣮ࣞࣂ࣮QCD+QED ࢩ࣑࣮ࣗࣞࢩࣙࣥ ᚑ᮶ࡢ᱁Ꮚ QCD ィ⟬࡛ࡣࠊ࢔ࣝࢦࣜࢬ࣒ⓗ⌮⏤࡟ࡼࡾ up ࡜ down ࢡ࢛࣮ࢡࡢ㉁㔞
ࡣேⅭⓗ࡟➼ࡋࡃࡋ㸦2+1 ࣇ࣮ࣞࣂ࣮㸧ࠊ㟁☢┦஫స⏝ࡢຠᯝࡶ↓どࡋ࡚࠸ࡓࠋࡇࢀ࡟
ᑐࡋ࡚ࠊ1+1+1 ࣇ࣮ࣞࣂ࣮QCD+QED ࢩ࣑࣮ࣗࣞࢩ࡛ࣙࣥࡣ⮬↛⏺ࢆ෌⌧ࡍ࡭ࡃ upࠊ
downࠊstrange ࢡ࢛࣮ࢡࡢ㉁㔞ࢆࡍ࡭࡚⊂❧࡞ࡶࡢ࡜ࡋ࡚ᢅ࠸ࠊ㟁☢┦஫స⏝ࡢຠᯝࡶྠ᫬࡟ホ౯ࡍࡿࡇ࡜ࢆ┠ᣦࡋ࡚࠸ࡿࠋ㟁☢┦஫స⏝࠾ࡼࡧ up ࡜ down ࢡ࢛࣮ࢡࡢ㉁㔞ᕪࡣ reweighting ἲ࡟ࡼࡗ࡚ྲྀࡾධࢀࡿࠋࡑࡢ㝿ࠊኚᙧ block BiCGSTAB ࢔ࣝࢦࣜࢬ࣒ࡢ㛤Ⓨࢆ⾜࠺ࡇ࡜࡟ࡼࡗ࡚ࠊreweighting ἲࡢ㧗ຠ⋡ᐇ⾜ࢆྍ⬟࡜ࡋࡓ㸦ㄽᩥ 1㸧ࠋᮏ᱁ィ⟬ࡣ 32364 ࡢ᱁Ꮚࢧ࢖ࢬࢆ⏝࠸࡚⾜ࢃࢀࠊup ࢡ࢛࣮ࢡ㉁㔞ࠊdown ࢡ࢛࣮ࢡ12

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩㉁㔞ࠊstrange ࢡ࢛࣮ࢡ㉁㔞ࠊ᱁Ꮚ㛫㝸ࢆỴᐃࡍࡿࡓࡵࡢ 4 ࡘࡢ≀⌮࢖ࣥࣉࢵࢺ࡜ࡋ࡚
ȧ+࣓ࢯࣥ㉁㔞ࠊK0 ࣓ࢯࣥ㉁㔞ࠊK+࣓ࢯࣥ㉁㔞ࠊȐࣂࣜ࢜ࣥ㉁㔞ࢆ᥇⏝ࡋࡓࠋࡇࢀ࡟ࡼ
ࡾࠊup ࡜ down ࢡ࢛࣮ࢡࡢ㉁㔞ᕪࢆ┤᥋ᐃ㔞ⓗ࡟ホ౯ࡍࡿࡇ࡜ࡀྍ⬟࡜࡞ࡗࡓ(ㄽᩥ 2)ࠋ
ᅗ 1 ࡣ㟁☢┦஫స⏝࡜ up ࡜ down ࢡ࢛࣮ࢡࡢ㉁㔞ᕪࢆྲྀࡾධࢀࡓ K0 ࣓ࢯࣥ࡜ K+࣓ࢯࣥࡢఏ᧛㛵ᩘࡢẚࢆ᫬㛫ࡢ㛵ᩘ࡜ࡋ࡚ࣉࣟࢵࢺࡋࡓࡶࡢ࡛࠶ࡿࠋ㉥⥺ࡣ K0-K+㉁㔞ᕪࡢᐇ㦂್㸦K0 ࡜ K+ࡢᖹᆒ㉁㔞ࡢ 1%ᮍ‶㸧࠿ࡽᮇᚅࡉࢀࡿഴࡁ࡛࠶ࡾࠊィ⟬⤖ᯝࡣㄗᕪࡢ⠊ᅖ࡛ᐇ㦂್ࢆ෌⌧ࡋ࡚࠸ࡿ㸦t=0 ࡢ㏆ഐࡣບ㉳≧ែࡢᐤ୚ࡢࡓࡵᐇ㦂್࠿ࡽࡎࢀ࡚
࠸ࡿ㸧ࠋ࡞࠾ࠊᮏィ⟬࡛ࡣ PACS-CS ᶵࡢ௚࡟㉸୪ิࢡࣛࢫࢱィ⟬ᶵ T2K-Tsukuba㸦ィ⟬ࣀ࣮ࢻᩘ 648ࠊࣆ࣮ࢡ₇⟬ᛶ⬟ 94 Tflopsࠊᖹᡂ 20 ᖺ 6 ᭶✌ാ㛤ጞ㸧ࡶ฼⏝ࡋ࡚࠸ࡿࠋ
1.10
0

+

K to K propagators

1.08
1.06
1.04
1.02
1.00
0.98
0.96
0.94
0.92
0

5

10

t

15

20

25

ᅗ 1㸸K0 ࣓ࢯࣥ࡜ K+࣓ࢯࣥࡢఏ᧛㛵ᩘࡢẚࠋ㉥⥺ࡣᐇ㦂࠿ࡽᮇᚅࡉࢀࡿഴࡁࠋ
㸦2㸧ࢳ࣮࣒ࣕࣂࣜ࢜ࣥࡢ◊✲ ≀⌮Ⅼ┤ୖࡢᴟࡵ࡚⌧ᐇ࡟㏆࠸ࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡾࠊࢳ࣮࣒ࣕࢡ࢛࣮ࢡࢆྵࡴࣂ
ࣜ࢜ࣥࡢ᳨ドཬࡧணゝࢆ୚࠼ࡓ㸦ㄽᩥ 3ࠊ4㸧ࠋࢳ࣮࣒ࣕࢡ࢛࣮ࢡ㸯ࡘࢆྵࡴࣂࣜ࢜ࣥ
ࡣᐇ㦂ⓗ࡟㧗⢭ᗘ࡛ㄪ࡭ࡽࢀ࡚࠸ࡿࠋ௚᪉ࠊࢳ࣮࣒ࣕࢡ࢛࣮ࢡࢆ㸰ࡘྵࡴࣂࣜ࢜ࣥࡣࠊ
Ȇcc(3520)ࡢࡳࡀᐇ㦂ⓗⓎぢࢆሗ࿌ࡉࢀ࡚࠸ࡿࠋࡓࡔࡋࠊࡇࡢⓎぢࢆሗ࿌ࡋ࡚࠸ࡿᐇ㦂ࢢ࣮ࣝࣉࡣ㸯ࡘࡢࡳ࡛࠶ࡾࠊ௚ࡢᐇ㦂ࢢ࣮ࣝࣉ࠿ࡽࡣྰᐃⓗ࡞⤖ᯝࡀሗ࿌ࡉࢀ࡚࠸ࡿࠋȆcc ࡢᏑᅾࡣᮍࡔ☜ᐃࡋ࡚࠸࡞࠸ࠋᮏィ⟬࡟ࡼࡾࠊࡲࡎࠊࢳ࣮࣒ࣕࢡ࢛࣮ࢡ 1 ࡘࢆྵࡴࣂࣜ࢜ࣥ㉁㔞ࢫ࣌ࢡࢺࣝࡣᐇ㦂್ࢆ෌⌧ࡍࡿ஦ࡀศ࠿ࡗࡓࠋ
ḟ࡟ࠊȆcc ࡢ㉁㔞್ࢆồࡵࠊ3603(15)(16) MeV ࢆᚓࡓࠋࡇࡢ್ࡣࠊሗ࿌ࡉࢀ࡚࠸ࡿᐇ㦂್ 3520 MeV ࡜᭷ព࡟␗࡞
13

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩ࡿࠋᮏ◊✲ࡣࠊ᪤Ꮡࡢᐇ㦂ሗ࿌್ 3520 MeV ࡀㄗࡾ࡛࠶ࡾࠊ┿ࡢ್ࡣ 100 MeV ⛬ᗘ㧗࠸࡜♧၀ࡍࡿࠋࡲࡓࠊȆcc ࡟ຍ࠼ࠊࢳ࣮࣒ࣕࢡ࢛࣮ࢡࢆ㸰ࡘཬࡧ㸱ࡘྵࡴ௚ࡢᮍⓎぢࣂࣜ࢜ࣥ࡟ᑐࡍࡿ㉁㔞ணゝ್ࢆ 2%ࡢ⢭ᗘ࡛Ỵᐃࡋࡓࠋ࠙㸰ࠚHPCI ᡓ␎ࣉࣟࢢ࣒ࣛศ㔝 5 ࡟࠾ࡅࡿ◊✲㛤Ⓨㄢ㢟㸦㟷ᮌࠊ▼ሯࠊ⸝ቑࠊ▼஭ࠊ᰿ᮧࠊ㇂ཱྀࠊᾋ⏣ࠊబࠎᮌࠊ⁥ᕝ㸧 ศ㔝 5ࠕ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࠖࡢᡓ␎┠ᶆࡣࠊࣅࢵࢢࣂࣥ࡟ጞࡲࡿᏱᐂࡢṔྐ࡟᪊ࡅࡿࠊ⣲⢏Ꮚ࠿ࡽඖ⣲ྜᡂࠊ࣭ᫍ㖟Ἑᙧᡂ࡟⮳ࡿ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࢆࠊ」ᩘࡢ
㝵ᒙࢆ⧅ࡄィ⟬⛉Ꮫⓗᡭἲ࡛⤫୍ⓗ࡟⌮ゎࡍࡿࡇ࡜࡟࠶ࡿࠋࡇࡢ┠ᶆࢆ┠ᣦࡋ࡚ 4 ࡘࡢ◊✲㛤Ⓨㄢ㢟ࡀタᐃࡉࢀ࡚࠾ࡾࠊࡑࡢ࠺ࡕࡢ୍ࡘ࡛࠶ࡿࠕ᱁Ꮚ QCD ࡟ࡼࡿ≀⌮Ⅼ࡛ࡢࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢỴᐃࠖࡢ㈐௵⪅ࢆ⸝ቑࡀົࡵ࡚࠸ࡿࠋᮏㄢ㢟ࡀ┠ᣦࡍࡶࡢࡣࠊ᱁Ꮚ QCD ィ⟬ࡢᚤ⣽໬࡜࣐ࣝࢳࢫࢣ࣮ࣝ໬ࢆ㘽࡜ࡍࡿ᪂ࡋ࠸ᒎ㛤࡛࠶ࡿࠋᚤ⣽໬࡜ࡣࠊ㟁☢┦஫స⏝ࡸ up ࡜ down ࢡ࢛࣮ࢡࡢ㉁㔞ᕪࢆྲྀࡾධࢀࡓ኱つᶍࢩ࣑࣮ࣗࣞࢩࣙࣥࡢ
ᐇ⌧ࢆព࿡ࡍࡿࠋࡇࢀ࡟ࡼࡾࠊQCD ࡢᇶᮏࣃ࣓࣮ࣛࢱ࡛࠶ࡿࢡ࢛࣮ࢡ㉁㔞ࢆ㧗⢭ᗘ࡛Ỵᐃࡍࡿࡇ࡜ࡀྍ⬟࡟࡞ࡿࠋ௚᪉ࠊ࣐ࣝࢳࢫࢣ࣮ࣝ໬࡜ࡣ QCD ࢆ⏝࠸࡚᰾Ꮚࢆ」ᩘస
ࡿࡇ࡜࡟ࡼࡗ࡚᰾Ꮚ㛫ࡢ᭷ຠ┦஫స⏝ࢆㄪ࡭ࡓࡾࠊ᭦࡟ࡣ᰾Ꮚࡢ᮰⦡≧ែ࡛࠶ࡿཎᏊ᰾
ࡢ┤᥋ᵓᡂࢆ⾜࠺ࡇ࡜ࢆព࿡ࡍࡿࠋ๓⪅ࡣ㟷ᮌࠊึ⏣㸦⌮◊㸧ࢆ୰ᚰ࡜ࡋࡓ HAL QCD
Collaboration ࡀྲྀࡾ⤌ࢇ࡛࠸ࡿ࢔ࣉ࣮ࣟࢳ࡛࠶ࡾࠊᚋ⪅ࡣ⸝ቑࠊᏱᕝࢆ୰ᚰ࡜ࡋࡓࢢ
࣮ࣝࣉ࡟ࡼࡗ࡚᥎㐍ࡉࢀ࡚࠸ࡿ㸦ᚋ㏙㸧ࠋ
㸦1㸧᱁Ꮚ QCD ࡟ࡼࡿ≀⌮Ⅼ࡛ࡢࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢỴᐃ ᖹᡂ24ᖺ9᭶28᪥࡟ࠕிࠖࢥࣥࣆ࣮ࣗࢱࡢඹ⏝ࡀ㛤ጞࡉࢀ࡚௨㝆ࠊࢤ࣮ࢪ㓄఩⏕ᡂࡢᮏ᱁ィ⟬ࢆ㛤ጞࡋࡓࠋ964ࡢ᱁Ꮚࢧ࢖ࢬࠊ0.1 fmࡢ᱁Ꮚ㛫㝸ࢆ᥇⏝ࡋࠊDDHMC
㸦Domain-Decomposed Hybrid Monte Carlo㸧࢔ࣝࢦࣜࢬ࣒ࢆ⏝࠸࡚2+1ࣇ࣮ࣞࣂ࣮
㸦mu=mdӆms㸧QCD ࡢࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ⾜ࡋ࡚࠸ࡿࠋHMC࢔ࣝࢦࣜࢬ࣒ࡣேⅭⓗ࡟ᑟධࡉࢀࡓᨃ᫬㛫࡟ᑐࡍࡿศᏊືຊᏛἲࢆ⤌ࡳධࢀࡓࣔࣥࢸ࢝ࣝࣟἲࡢ୍✀࡛࠶
ࡾࠊ᱁ᏊQCD ࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟࠾࠸࡚ᗈࡃ᥇⏝ࡉࢀ࡚࠸ࡿࠋDDHMCἲ࡛ࡣࠊ4 ḟඖ᫬✵㛫᱁Ꮚࢆᑠ㡿ᇦ࡟ศ๭ࡋࠊᨃ᫬㛫࡟ᑐࡍࡿࣁ࣑ࣝࢺࣥ᪉⛬ᘧࢆ㝵ᒙⓗ࡟✚ศࡍࡿࡇ࡜࡟ࡼࡗ࡚࢔ࣝࢦࣜࢬ࣒ࡢຠ⋡໬ࢆᅗࡗ࡚࠸ࡿࠋ⇕ᖹ⾮≧ែ࡟㐩ࡋࡓࡇ࡜ࢆ☜ㄆࡋࡓ
ᚋࠊ5 ศᏊືຊᏛ᫬㛫㸦ᨃ᫬㛫ࡢ༢఩㸧ẖ࡟ࢤ࣮ࢪ㓄఩ࢆಖᏑࡋࠊࡑࡢࢤ࣮ࢪ㓄఩ࢆ⏝࠸࡚ࣁࢻࣟࣥ㉁㔞࡞࡝ࡢᇶᮏ≀⌮㔞ࡢᐃࢆ୪⾜ࡋ࡚⾜ࡗ࡚࠸ࡿࠋᅗ2 ࡣࡇࢀࡲ࡛ᚓࡽ
14

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩ࢀࡓᏳᐃ࡞㸦ᙉ࠸┦஫స⏝࡛ᔂቯࡋ࡞࠸㸧ࣁࢻࣟࣥࡢ㉁㔞ࡢィ⟬⤖ᯝࢆᐇ㦂್࡜ẚ㍑ࡋ
ࡓࡶࡢ࡛࠶ࡿࠋ᪤࡟1%⛬ᗘࡢ⤫ィㄗᕪ࡟฿㐩ࡋ࡚࠸ࡿࡇ࡜ࡀࢃ࠿ࡿࠋࡇࡇ࡛ࡣࠊࢡ࢛
࣮ࢡ㉁㔞㸦mu=mdӆms㸧࡜᱁Ꮚ㛫㝸ࢆỴࡵࡿࡓࡵࡢ3ࡘࡢ≀⌮㔞࡜ࡋ࡚ࠊȧ࣓ࢯࣥ㉁㔞
㸦mȧ㸧ࠊK࣓ࢯࣥ㉁㔞㸦mK㸧ࠊȐࣂࣜ࢜ࣥ㉁㔞㸦mȐ㸧ࢆ᥇⏝ࡋ࡚࠸ࡿࠋࡑࡢࡓࡵࠊm
࡜mK࡟ᑐࡋ࡚ࡣ᭦࡟ᩘ%⛬ᗘࡢᐇ㦂್࡬ࡢࢳ࣮ࣗࢽࣥࢢࡀᚲせ࡛࠶ࡿࡇ࡜ࡀぢ࡚࡜ȧࢀࡿࡀࠊࡑࡢ⿵ṇࡣ௒ᚋreweighting ἲࢆ⏝࠸࡚⾜࠺ࠋ
0.14
0.12

(mH/m:)latt / (mH/m:)exp  1

0.10
0.08
0.06
0.04
0.02
0.00
-0.02
-0.04
-0.06
-0.08
-0.10

S

K

N

/

6

;

:

ᅗ 2㸸ࣁࢻࣟࣥ㉁㔞࡜ᐇ㦂್࡜ࡢẚ㍑ࠋ
 ࡞࠾ࠊᮏ◊✲㛤Ⓨㄢ㢟࡛ࡣࠊࢡ࢛࣮ࢡస⏝࡜ࡋ࡚ smeared link ࢆ⏝࠸ࡓ Wilson-cloverస⏝ࢆ⏝࠸࡚࠸ࡿࠋ㇂ཱྀࡣ࡟ࡼࡾࠊclover 㡯ࡢᨵⰋಀᩘ cSW ࡀ㠀ᦤືㄽⓗ࡟Ỵᐃࡉࢀ࡚࠸ࡿ㸦ㄽᩥ 5㸧ࠋ࠙㸱ࠚ᱁Ꮚ QCD ࡟ࡼࡿࢡ࢛࣮ࢡࢆ⮬⏤ᗘ࡜ࡋࡓཎᏊ᰾ࡢ┤᥋ᵓᡂ㸦⸝ቑࠊᏱᕝ㸧⸝ቑࠊᏱᕝࡽࡣᒣᓮ㸦ྡྂᒇ኱㸧࡜࡜ࡶ࡟ 2010 ᖺୡ⏺࡛ึࡵ࡚᱁Ꮚ QCD ࡟ࡼࡿ࣊ࣜ
࣒࢘ཎᏊ᰾ࡢᵓᡂ࡟ᡂຌࡋࡓᚋࠊ2 ᰾Ꮚ⣔ࡢ᮰⦡≧ែ࡛࠶ࡿ㔜㝧Ꮚࡢᵓᡂ࡟ࡶᡂຌࡋࡓࠋ
ࡓࡔࡋࠊࡇࢀࡽࡣィ⟬ࢥࢫࢺࢆᢚ࠼ࡿࡓࡵ࡟ࢡ࢙ࣥࢳ㏆ఝ࠿ࡘ≀⌮ⓗ࡞್ࡼࡾࡶ㔜࠸ࢡ
࢛࣮ࢡ㉁㔞࡛⾜ࡗࡓィ⟬࡛࠶ࡿࡓࡵࠊḟࡢࢫࢸࢵࣉ࡜ࡋ࡚ࢡ࢛࣮ࢡࡢ┿✵೫ᴟຠᯝࢆྲྀ
ࡾධࢀࡓ 2+1 ࣇ࣮ࣞࣂ࣮᱁Ꮚ QCD ィ⟬࡬ࡢᣑᙇࢆ⾜ࡗࡓࠋࡑࡢ⤖ᯝࠊࢡ࢙ࣥࢳ㏆ఝࡔࡅ࡛࡞ࡃ 2+1 ࣇ࣮ࣞࣂ࣮QCD ࡟࠾࠸࡚ࡶ࣒࣊ࣜ࢘ཎᏊ᰾࡜㔜㝧Ꮚࡀ᮰⦡ࡍࡿࡇ࡜ࡀ☜ㄆࡉࢀࡓ㸦ㄽᩥ 4㸧ࠋࡓࡔࡋࠊࢡ࢛࣮ࢡ㉁㔞ࡣ౫↛࡜ࡋ࡚≀⌮ⓗ࡞್ࡼࡾࡶ㔜ࡃࠊmȧ
=0.51 GeV ┦ᙜ࡛࠶ࡿࠋᅗ 3 ᕥࡣ 4He ཎᏊ᰾ࡢ࢚ࢿࣝࢠ࣮ࢩࣇࢺǼEL(4He)ࡢ✵㛫య✚౫Ꮡᛶࢆ⾲ࡋ࡚࠸ࡿࠋࡇࡇ࡛ࠊ࢚ࢿࣝࢠ࣮ࢩࣇࢺࡣ 4He ཎᏊ᰾ࡢᇶᗏ≧ែ࡜⮬⏤࡞ 415

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩ಶࡢ᰾Ꮚࡢ㉁㔞࡜ࡢᕪǼEL(4He)=EL(4He)Ѹ4mN ࡛ᐃ⩏ࡉࢀࡿࠋ᭷㝈ࡢ✵㛫య✚㸦L3㸧
࡛ࡣࠊ4 ಶࡢ᰾Ꮚྠኈࡢᩓ஘ࡢຠᯝࡶǼEL(4He)࡟ྵࡲࢀࡿࡓࡵࠊ᮰⦡࢚ࢿࣝࢠ࣮ࡢࡳ
ࢆྲྀࡾฟࡍࡓࡵ࡟ࡣࠊ✵㛫య✚↓㝈኱ᴟ㝈㸦1/L3Ѝ0㸧࡬ࡢእᤄࡀᚲせ࡜࡞ࡿࠋᫍ༳ࡣ
᮰⦡࢚ࢿࣝࢠ࣮ࡢᐇ㦂⤖ᯝࢆ⾲ࡋ࡚࠾ࡾࠊᡃࠎࡢィ⟬⤖ᯝࡶྠ⛬ᗘࡢ್ࢆ෌⌧ࡋ࡚࠸ࡿࡇ࡜ࡀࢃ࠿ࡿࠋᅗ 3 ྑࡣ㔜㝧Ꮚࡢ࢚ࢿࣝࢠ࣮ࢩࣇࢺǼEL(3S1)=E(3S1)Ѹ2mN ࡢ✵㛫య✚౫Ꮡᛶࢆ⾲ࡋ࡚࠸ࡿࠋ㔜㝧Ꮚࡢሙྜࡣࠊ᮰⦡࢚ࢿࣝࢠ࣮ࡢィ⟬⤖ᯝࡀᐇ㦂⤖ᯝࡼࡾࡶ 5ಸ⛬ᗘ኱ࡁ࠸ࠋࡲࡓࠊᡃࠎࡢィ⟬࡛ࡣࠊᐇ㦂ⓗ࡟ࡣ᮰⦡ࡋ࡚࠸࡞࠸ࢫࣆ୍ࣥ㔜㡯㸦1S0㸧ࢳࣕࢿࣝ࡟࠾࠸࡚ࡶ᮰⦡≧ែࡀ☜ㄆࡉࢀ࡚࠾ࡾࠊࡇࢀࡽࡢ⤖ᯝࡣࢡ࢛࣮ࢡ㉁㔞ࡀ≀⌮ⓗ࡞್ࡼࡾࡶ㔜࠸ࡓࡵ࡛ࡣ࡞࠸࠿࡜᥎ᐹࡋ࡚࠸ࡿࠋ௒ᚋࢡ࢛࣮ࢡ㉁㔞ࢆ᭦࡟㍍ࡃࡋ࡚⌧ᐇࡢ್࡟㏆࡙ࡅ࡚࠸ࡃࡇ࡜ࡀ㔜せ࡛࠶ࡿࠋ

0.000

0

4

'EL( He) [GeV]

experiment
Nf=2+1 mS=0.51GeV
Nf=0 mS=0.80GeV-0.004-0.02-0.008-0.012

-0.04

-0.08

-0.016experiment
Nf=2+1 mS=0.51GeV
Nf=0 mS=0.80GeV

-0.06

0

-5

1u10

-5

2u10
3
1/L

3u10

3

'EL( S1) [GeV]-0.020

-5

4u10

-5

-0.024

0

1u10

-5

2u10
3
1/L

-5

-5

3u10

4u10

-5

ᅗ 3㸸L3 ✵㛫᱁Ꮚࢧ࢖ࢬ࡟࠾ࡅࡿ 4He ཎᏊ᰾㸦ᕥᅗ㸧࡜㔜㝧Ꮚ㸦ྑᅗ㸧ࡢ࢚ࢿࣝࢠ࣮
ࢩࣇࢺǼEL ࡢ✵㛫య✚౫Ꮡᛶࠋᅄゅࡣ✵㛫య✚↓㝈኱ᴟ㝈(1/L3Ѝ0)࡬ࡢእᤄ್ࠊᫍ༳
ࡣ᮰⦡࢚ࢿࣝࢠ࣮ࡢᐇ㦂⤖ᯝࠊⓑᢤࡁࢲ࢖ࣖࡣࢡ࢙ࣥࢳ㏆ఝࡢィ⟬⤖ᯝࢆ⾲ࡍࠋ࠙㸲ࠚ᱁Ꮚ QCD ࡟ࡼࡿࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢ◊✲㸦㟷ᮌࠊ▼஭ࠊ᰿ᮧࠊబࠎᮌ㸧 㸰ࡘࡢ᰾Ꮚ㛫࡟ാࡃຊࠊ᰾ຊࡣࠊ୰㐲㊥㞳࡛ࡣᘬຊࠊ㏆㊥㞳࡛ࡣᙉ࠸᩺ຊ࡟࡞ࡿࡇ࡜
ࡀᐇ㦂ⓗ࡟▱ࡽࢀ࡚࠸ࡿࡀࠊࡇࡢ᰾ຊࡢᛶ㉁ࠊ≉࡟᩺ຊⰺ࡜࿧ࡤࢀࡿ㏆㊥㞳࡛ࡢ᩺ຊࠊ
ࢆ⌮ㄽⓗ࡟ᑟࡃࡇ࡜ࡣࠊ⣲⢏ᏊཎᏊ᰾≀⌮࡟ṧࡉࢀࡓ኱ၥ㢟ࡢ㸯ࡘ࡛࠶ࡿࠋ㟷ᮌࠊ▼஭ࠊ᰿ᮧࠊబࠎᮌࡣࠊ⌮໬Ꮫ◊✲ᡤࡢึ⏣ࡽ࡜ HAL QCD Collaboration ࢆ⤖ᡂࡋࠊ㸰᰾Ꮚ㛫ࡢἼື㛵ᩘ࠿ࡽ᰾Ꮚ㛫ࡢ࣏ࢸࣥࢩࣕࣝࢆᑟࡁฟࡍ࡜࠸࠺᪉ἲࢆᛂ⏝ࡋ࡚ࠊᵝࠎ࡞⢏Ꮚ㛫ࡢ࣏ࢸࣥࢩࣕࣝࢆ᱁Ꮚ QCD ࡢᩘ್ࢩ࣑࣮ࣗࣞࢩ࡛ࣙࣥィ⟬ࡋ࡚ࡁࡓࠋࡑࡢ୍㐃ࡢ◊16

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩✲ᡂᯝࢆࣞࣅ࣮ࣗࡋࡓࡶࡢࡀࠊㄽᩥ 5 ࡛࠶ࡿࠋࡲࡓࠊㄽᩥ 6ࠊ7 ࡛ࡣࠊ᩺ຊⰺࡢ㉳※ࢆ
₇⟬Ꮚ✚ᒎ㛤࡜ᦤືㄽⓗ QCD ࡢ⧞ࡾ㎸ࡳ⩌࡜࠸࠺ゎᯒⓗ࡞ᡭἲ࡛◊✲ࡋࠊ᱁Ꮚ QCD
ࡢィ⟬⤖ᯝ࡜ẚ㍑ࡋ࡚࠸ࡿࠋㄽᩥ 8 ࡣࠊHAL QCD ࡀ⏝࠸࡚ࡁࡓ᪉ἲࢆ㠀ᙎᛶᩓ஘࡟ᣑ
ᙇࡍࡿ᪉ἲࢆᥦ᱌ࡋࡓࡶࡢ࡛࠶ࡿࠋ௨ୗ࡛ࡣࠊ▼஭ࠊ᰿ᮧࠊబࠎᮌࠊཬࡧ㟷ᮌࡢᏛ⏕࡛࠶ࡿᒣ⏣ࡢ 2012 ᖺᗘࡢ◊✲ᡂᯝࢆ⤂௓ࡍࡿࠋ
㸦1㸧㈇ࣃࣜࢸ࢕ࢭࢡࢱࡢࣁ࢖࣌ࣟࣥຊ࣭ᑐ⛠࠾ࡼࡧ཯ᑐ⛠ LS ຊ ࠿ࡡ࡚ࡼࡾࡢᠱ᱌࡛࠶ࡗࡓ flavor SU(3) ᴟ㝈࡟࠾ࡅࡿࣁ࢖࣌ࣟࣥຊࡢ୍⯡ᙧ࡟ࡘ࠸࡚ࠊ஧᰾Ꮚ⣔ࡢ Okubo-Marshak ࡢ᪉ἲࢆᣑᙇࡍࡿ஦࡟ࡼࡗ࡚ồࡵࡿ஦࡟ᡂຌࡋࡓࠋ
Octet-baryon ࡢ஧య⣔ࡣࠊflavor つ⣙⾲⌧࡛ࠊ㸶⾲⌧ࡀ㸰ᗘ⌧ࢀࠊ஧⢏Ꮚࡢ஺᥮࡟ᑐ
ࡋ࡚ࠊᑐ⛠࡞≀(s)࡜཯ᑐ⛠࡞≀(a)࡟ศ㢮ࡉࢀࡿࠋࡇࡢ஧ࡘࢆࡘ࡞ࡄࠊ཯ᑐ⛠ LS ຊࡀ஧᰾Ꮚ⣔࡜ࡢ၏୍ࡢ㐪࠸࡛࠶ࡗࡓࠋྠᵝ࡟ࠊflavor SU(3)ࡀ◚ࢀࡓ≧ἣୗ࡛ࡢ୍⯡ᙧࢆồࡵࡓࠋࡇࡇ࡛ࡣࠊࣁ࢖࣌ࣟࣥࡢ⤖ྜࢳࣕࣥࢿࣝࡢ off-diagonal 㒊ศ࡟஧᰾Ꮚ⣔࡛ࡣ᤼㝖ࡉࢀ࡚࠸ࡓᙧࡢ㡯ࡀࡓࡃࡉࢇ⏕ࡁṧࡾࠊ࣏ࢸࣥࢩࣕࣝ㏫ᵓᡂࡢ㝿࡟࡝ࡢࡃࡽ࠸ࡲࡌࡵ࡟
ྲྀࡾᢅ࠺࡭ࡁ࠿ᝎࢇ࡛࠸ࡿࠋ࡜ࡾ࠶࠼ࡎࠊ᭱ึࡣࡇࢀࡽࢆ↓どࡋ࡚ィ⟬ࢆ㐍ࡵࡿࡘࡶࡾ
࡛࠶ࡿࠋࡇࢀࡽࡢィ⟬ࢆᐇ⾜ࡍࡿࡓࡵࠊ᪂ᆺࡢ contraction code ࡢ㛤Ⓨࢆ⾜ࡗࡓࠋᖹᡂ
25 ᖺᗘࡢ᪩ᮇࡢẁ㝵࡛⤖ᯝࢆฟࡋ࡚ࠊ⌧ᐇⓗ࡞ィ⟬࡟ࡘ࡞ࡆ࡚࠸ࡁࡓ࠸ࠋ
㸦2㸧2+1 flavor QCD ࡟ࡼࡿ᰾ຊ ᖹᡂ 22 ᖺᗘ࠿ࡽ 23 ᖺᗘ࡟࠿ࡅ࡚㛤Ⓨࡋࡓ͇᫬㛫౫Ꮡᆺ͇Schrödinger-like eq. ࡢ᪉ἲࡣࠊࣂࣜ࢜ࣥ 4 Ⅼ㛵ᩘࡢ ground state saturation ࢆᚲせ࡜ࡋ࡞࠸ࡓࡵࠊᑠࡉ࡞ t ࡛ࡶᏳᐃࡋ࡚ࣂࣜ࢜ࣥ㛫࣏ࢸࣥࢩࣕࣝࢆィ⟬࡛ࡁࡿ᪉ἲ࡛࠶ࡿࠋPACS-CS ࡢࢤ࣮ࢪ㓄఩ࢆ⏝࠸ࡓ 2+1 flavor QCD ࡢ᰾ຊࡢࢹ࣮ࢱ࡟ᑐࡋ࡚ࠊ⤫ィࢆୖࡆ࡚ࡇࡢ᪉ἲࢆ㐺⏝ࡋ࡚෌ゎᯒࢆ⾜ࡗࡓࠋ㛗㊥㞳࡟࠾ࡅࡿ one pion exchange ᴟ㝈ࢆ⪃៖ࡍࡿࡓࡵࠊAV18 ᆺࡢ㛵ᩘᙧࢆ⏝࠸࡚ࠊ஧ࡘࡢ୰ᚰຊ࡜୍ࡘࡢࢸࣥࢯࣝຊࡢྠ᫬ࣇ࢕ࢵࢺࢆ⾜ࡗࡓࠋࡇࡇ࡛ࡣ
ᐇ㦂ⓗ࡟࿘ᮇቃ⏺ࡢᙳ㡪ࢆྲྀࡾ㎸ࡵࡿࡼ࠺࡞ࣇ࢕ࢵࢺࢆヨࡋ࡚ࡳࡓࠋ⁥ࡽ࠿࡟ࣃ࣓ࣛࢺ
ࣛ࢖ࢬࡉࢀࡓ࣏ࢸࣥࢩࣕࣝࢆ౑ࡗ࡚ồࡵࡓ఩┦ᕪࡣࠊᘬຊⓗࡔࡀ⤯ᑐ್ࡀᐇ㦂್ࡼࡾࡶ㐶࠿࡟ᑠࡉ࠿ࡗࡓ㸦᮰⦡≧ែࡣᏑᅾࡋ࡚࠸࡞࠸㸧ࠋmȧ=700ࠊ570ࠊ411 MeV ࡜ኚ໬ࡉࡏࡓࡀࠊࡇࡢ㡿ᇦ࡛ࡣࡲࡔᐇ㦂್࡟ྥ࠿ࡗ࡚ᘬຊࡀᙉࡃ࡞ࡿഴྥࡣぢࡽࢀ࡚࠸࡞࠸㸦ᅗ4ࠊㄽᩥ 9㸧ࠋ17ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

VC(1S0) [MeV]

4000
3500

60

3000

40

2500

20

2000

0

1500

-20

1000

lattice--VC;10
VC;10
OPEP
T2
WS

-40

500

0

0.5

0.5

1

1

1.5

2

2.5

0
-500

0

1.5

2

2.5

r [fm]

ᅗ 4㸸㸦ᕥ㸧2+1 flavor ᱁Ꮚ QCD ࡛ィ⟬ࡉࢀࡓ᰾ຊ㸦spin-singlet ୰ᚰຊ㸧ࡢࣇ࢕ࢵࢺࡢ⤖ᯝ㸦mȧ=570 MeV㸧ࠋ㸦ྑ㸧 ࡇࢀࢆ౑ࡗࡓ 1S0 ࡢᩓ஘఩┦ᕪ㸦mȧ=411ࠊ570ࠊ
700 MeV㸧ࠋ㸦3㸧᱁Ꮚ QCD ࡛ᚓࡽࢀࡓ᰾ຊ࣏ࢸࣥࢩࣕࣝ࡟ࡼࡿᑡᩘ᰾Ꮚከయ⣔ࡢ◊✲ ≀⌮Ⅼ࡛ࡢ᱁Ꮚ QCD ࡟ࡼࡿ㸦୍⯡໬㸧᰾ຊ࣏ࢸࣥࢩࣕࣝࡢᑟฟ࡟ഛ࠼࡚ࠊ
Nambu-Bethe-Salpeter(NBS)Ἴື㛵ᩘ࠿ࡽᚓࡽࢀࡓ㸦୍⯡໬㸧᰾ຊ࣏ࢸࣥࢩࣕࣝࢆ⏝࠸࡚ᩓ஘఩┦࡞࡝ࡢ≀⌮㔞ࢆᑟฟࡍࡿࡓࡵࡢྛ✀᪉ἲࡢ☜❧࠾ࡼࡧ㍍࠸ཎᏊ᰾ᵓ㐀࡬ࡢ㐺⏝ࡢࡓࡵࡢ‽ഛࢆ㐍ࡵࡓࠋࡼࡾලయⓗ࡟ࡣࠊࣇ࣮ࣞࣂ࣮SU(3)ᑐ⛠Ⅼ࡛ᚓࡽࢀࡓ᰾
ຊ࣏ࢸࣥࢩࣕࣝࡢഅࣃࣜࢸ࢕ᡂศ㸦1S0 ࠾ࡼࡧ 3S1Ѹ3D1 ≧ែ࡟ാࡃ୰ᚰຊ࠾ࡼࡧࢸࣥࢯ
ࣝຊ㸧ࢆ⏝࠸ࡓ 4He ཎᏊ᰾ࡢᑡᩘከయၥ㢟ࢆ⢭ᐦ࡟ゎࡁࠊ᮰⦡≧ែࡀᏑᅾࡍࡿࡇ࡜ࢆ
☜ㄆࡋࡓ㸦ᅗ 5㸧ࠋࡇࡢ᮰⦡≧ែࡢ⤖ྜ࢚ࢿࣝࢠ࣮ࡣ⣙ 4.4 MeV㸦㝧Ꮚ㛫ࡢࢡ࣮ࣟࣥຊ
ࡶྠ᫬࡟⪃៖ࡋ࡚ 4 యၥ㢟ࢆゎ࠸ࡓሙྜ㸧ࡶࡋࡃࡣ⣙ 5.1 MeV㸦ࢡ࣮ࣟࣥຊࢆ⪃៖ࡏࡎ
4 యၥ㢟ࢆゎ࠸ࡓሙྜ㸧࡛࠶ࡾࠊ⌧ᐇࡢ 4He ࡟ẚ࡭࡚㠀ᖖ࡟ᑠࡉ࠸ࠋࡇࡢ⤖ᯝࡣࠊ᪤࡟
⾜ࢃࢀ࡚࠸ࡿࢸࣥࢯࣝຊࢆ⧞ࡾ㎸ࢇࡔ୰ᚰຊࡢࡳ࡛ 4 యၥ㢟ࢆゎ࠸ࡓ㏆ఝィ⟬࡜ᐃᛶⓗ࡟Ⰻࡃఝࡓ⤖ᯝ࡛࠶ࡿࠋ௒ᅇ⏝࠸ࡓ᰾ຊ࣏ࢸࣥࢩࣕࣝࡣȧ୰㛫Ꮚ࡟ᑐᛂࡍࡿࣁࢻࣟࣥ
ࡢ㉁㔞ࡀ⣙ 469 MeV ࡛࠶ࡾࠊࢡ࢛࣮ࢡ㉁㔞ࡣ⌧ᐇࡼࡾࡶ㔜ࡃࠊᚓࡽࢀࡓ᰾ຊ࣏ࢸࣥࢩ
ࣕࣝࡢࢸࣥࢯࣝຊᡂศࡣ⌧ᐇࡢሙྜ࡟ẚ࡭࡚㠀ᖖ࡟ᙅ࠸࡜⪃࠼ࡽࢀࡿࠋ4 యၥ㢟ࢆゎ࠸࡚ᚓࡽࢀࡓ 4He ࡢᇶᗏ≧ែ࡟࠾ࡅࡿ඲㌶㐨ゅ㐠ື㔞㸦L=2㸧ࡢ≧ែࡢᮇᚅ್ࡣࢃࡎ࠿
1.3%㸦ࢡ࣮ࣟࣥຊ᭷ࡾ㸧࡞࠸ࡋࡣ 1.4 %㸦ࢡ࣮ࣟࣥຊ↓ࡋ㸧࡛࠶ࡿࠋࡇࢀࡲ࡛ࡢ⌧㇟ㄽⓗ࡟Ỵࡵࡽࢀࡓ⌧ᐇⓗ᰾ຊ࡟ᇶ࡙࠸࡚ィ⟬ࡉࢀࡓ 4He ࡢᇶᗏ≧ែࡢ L=2 ≧ែࡢᮇᚅ್
ࡀ 10%⛬ᗘ࡛࠶ࡿࡇ࡜ࡀ▱ࡽࢀ࡚࠸ࡿࡢ࡛ࠊ≀⌮Ⅼୖ࡛ࡢ᰾ຊ࣏ࢸࣥࢩࣕࣝࡢィ⟬ࡀᴟࡵ࡚㔜せ࡛࠶ࡿࡇ࡜ࢆ♧ࡋ࡚࠸ࡿࠋ
18

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩ᅗ 5㸸ࣇ࣮ࣞࣂ࣮SU(3)ᑐ⛠Ⅼ࡛ࡢ᱁Ꮚ QCD ィ⟬࠿ࡽᚓࡽࢀࡓ᰾ຊ࣏ࢸࣥࢩࣕࣝࢆ⏝࠸࡚ᚓࡽࢀࡓ 4He ࡢᇶᗏ≧ែ࡟࠾ࡅࡿ᰾Ꮚ㛫㊥㞳 r [fm]࡟ᑐࡍࡿ┦㛵㛵ᩘࠋ㝧Ꮚ㛫ࡢࢡ࣮࣏ࣟࣥࢸࣥࢩࣕࣝࡶ⪃៖ࡉࢀ࡚࠸ࡿࠋ
㸦4㸧⤖ྜࢳࣕࣥࢿࣝᡭἲࢆ⏝࠸ࡓࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢ◊✲ ࢫࢺࣞࣥࢪࢿࢫ㸦S㸧ࢆྵࡴࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢ◊✲ࡣࠊࣂࣜ࢜ࣥ㛫ࡢ㏆㊥㞳᩺ຊࡢ㉳※ࢆ᫂ࡽ࠿࡟ࡍࡿୖ࡛㔜せ࡛࠶ࡿࠋబࠎᮌࡽࡣࠊHAL QCD Collaboration ࡟ࡼࡿ࣏ࢸࣥࢩࣕࣝࡢᑟฟ᪉ἲࢆ⤖ྜࢳࣕࣥࢿࣝ Schrödinger ᪉⛬ᘧ࡟ᣑᙇࡋࢫࢺࣞࣥࢪࢿ
ࢫࢆྵࡴࣂࣜ࢜ࣥ 2 య⣔ࡢ࣏ࢸࣥࢩࣕࣝ⾜ิࢆ⣔⤫ⓗ࡟ㄪ࡭࡚ࡁࡓࠋᮏᖺᗘࡣࠊࣂࣜ࢜
ࣥ㛫ࡢ㏆㊥㞳᩺ຊࡢᾘኻ࡟క࠸⌧ࢀࡿ࡜ᮇᚅࡉࢀ࡚࠸ࡿ H-dibaryon ≧ែ࡟╔┠ࡋࠊ
S=Ѹ2 ࡢࣂࣜ࢜ࣥ㛫࣏ࢸࣥࢩࣕࣝࢆ⏝࠸࡚ࡇࡢ≧ែ࡟㛵ࡍࡿ◊✲ࢆ⾜ࡗࡓࠋ ィ⟬ࡣ
PACS-CS Collaboration ࡟ࡼࡗ࡚⏕ᡂࡉࢀࡓ 2+1 ࣇ࣮ࣞࣂ࣮ࡢࢤ࣮ࢪ㓄఩ࢆ⏝࠸ࠊࣃ
࢖࢜ࣥ㉁㔞ࡀ 700 MeVࠊ570 MeVࠊ410 MeV ࡟ᑐᛂࡍࡿ 3 ࡘࡢ␗࡞ࡿࢡ࢛࣮ࢡ㉁㔞࡟ࡘ࠸࡚⤖ᯝࡢゎᯒࢆ⾜ࡗࡓࠋࡇࢀࡽࢆࡑࢀࡒࢀ Esb1ࠊ2ࠊ3 ࡜࿧ࡪࡇ࡜࡟ࡋࠊSU(3)ᑐ
⛠ᛶࡢ◚ࢀࡶࡇࡢ㡰࡟኱ࡁࡃ࡞ࡗ࡚࠸ࡿ஦࡟ὀពࡍࡿࠋᅗ 6 ࡣࠊ‽ഛẁ㝵࡛ࡣ࠶ࡿࡀࠊ
Esb1ࠊ2ࠊ3 ࡢࢤ࣮ࢪ㓄఩࡟ࡼࡾᚓࡽࢀࡓ࣏ࢸࣥࢩࣕࣝ࠿ࡽィ⟬ࡉࢀࡓȃȃ࡜ NȆࡢᩓ஘఩┦ᕪࢆ♧ࡋ࡚࠸ࡿࠋࡇࡢᅗ࠿ࡽࠊࢡ࢛࣮ࢡ㉁㔞ࡀ㍍ࡃ࡞ࡾࠊSU(3)ࡢ◚ࢀࡀ኱ࡁࡃ
࡞ࡿ࡟ࡘࢀ࡚᮰⦡≧ែ࡟࠶ࡗࡓ H-dibaryon ࡀඹ㬆≧ែ࡟⛣ࡾኚࢃࡗ࡚࠸ࡃᵝᏊࢆ☜ㄆࡍࡿ஦ࡀฟ᮶ࡓࠋ௒ᚋࡣࡇࡢᩓ஘఩┦ᕪࡢㄗᕪࢆホ౯ࡋࠊH-diabaryon ࡢᵝᏊࢆヲ⣽࡟ㄪ࡭ࡿࡇ࡜ࢆィ⏬ࡋ࡚࠸ࡿࠋࡲࡓࠊ௚ࡢ⣔࡟ࡘ࠸࡚ࡶゎᯒࢆࡍࡍࡵࠊ᮰⦡≧ែࡢ᭷↓࡞࡝ࢆㄪ࡭ࡼ࠺࡜⪃࠼࡚࠸ࡿࠋ

19

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩ᅗ 6㸸Esb1㸦ᕥ㸧ࠊ2㸦୰㸧ࠊ3㸦ྑ㸧࡟࠾ࡅࡿȃȃ࡜ NȆࡢᩓ஘఩┦ᕪࠋ㸦5㸧Ȑ-Ȑࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢ◊✲Ȑࣂࣜ࢜ࣥࡣࠊࢡ࢛࣮ࢡᶍᆺࡢศ㢮࡟࠾ࡅࡿࣇ࣮ࣞࣂ࣮10 㔜㡯ࡢ࡞࠿࡛၏୍ᙉ࠸┦஫స⏝࡛Ᏻᐃ࡞ࣂ࡛ࣜ࢜ࣥ࠶ࡿࠋࢫࢺࣞࣥࢪࢿࢫ S=Ѹ6 ࡟࠶ࡓࡿȐ-Ȑ㛫ࡢ࣏ࢸࣥࢩࣕࣝࢆ
HAL QCD Collaboration ࡟ࡼࡿ᰾ຊ࣏ࢸࣥࢩࣕࣝࡢᑟฟ᪉ἲࢆ⏝࠸࡚ィ⟬ࡋࡓࠋࣇࣞ
࣮ࣂ࣮10 㔜㡯ࡢ⢏Ꮚ㛫ࡢ࣏ࢸࣥࢩࣕࣝࡢィ⟬ࡣ௒ᅇࡀึࡵ࡚࡛࠶ࡿࠋ௒ᅇࡣࠊࢡ࢛࣮
ࢡᶍᆺࡢィ⟬࡛ᙉ࠸ᘬຊࡀ࠶ࡿ࡜ண᝿ࡉࢀࡿࢺ࣮ࢱࣝࢫࣆࣥ J=0 ࡢ≧ែࢆィ⟬ࡋࡓࠋィ⟬࡟ࡣ CP-PACS Collaboration ࡀ⏕ᡂࡋࡓ 2+1 ࣇ࣮ࣞࣂ࣮ࡢ⌧ᐇࡼࡾ㔜࠸ࢡ࢛࣮ࢡ
㉁㔞㸦ࣃ࢖࢜ࣥ㉁㔞 875 MeV ࡟ᑐᛂ㸧ࡢࢤ࣮ࢪ㓄఩ࢆ⏝࠸ࡓࠋ⤖ᯝࡣ୰ᚰ࡟ࡣ᩺ຊⰺ
ࡀ࠶ࡾࠊ୰㊥㞳࡟ࡣᘬຊ࣏ࢣࢵࢺࡀ࠶ࡾࠊ᮰⦡≧ែ࡜ࡣ᩿ゝ࡛ࡁ࡞࠸ࡶࡢࡢᙉ࠸ᘬຊࡀ
࠶ࡿࡇ࡜ࢆ♧၀ࡋ࡚࠸ࡿ㸦ᅗ 7㸧ࠋᅗ 7㸸J=0 ࡛࠶ࡿȐ-Ȑ㛫ࡢ࣏ࢸࣥࢩࣕࣝ V [MeV]ࠋᶓ㍈ࡣࣂࣜ࢜ࣥ㛫ࡢ㊥㞳 r [fm]ࠋ
࠙㸳ࠚ᭷㝈

ᗘ࣭᭷㝈ᐦᗘ QCD ࡢ◊✲㸦㟷ᮌࠊ㔠㇂㸧 㔠㇂ࠊ㟷ᮌࡽࡣࠊ⌮໬Ꮫ◊✲ᡤึ⏣୺௵◊✲ဨࠊ᪂₲኱ᏛỤᑼ෸ᩍᤵࠊᗈᓥ኱Ꮫᱵ⏣෸ᩍᤵࡽ࡜ࡢඹྠ◊✲࡛ࠊWilson ᆺࢡ࢛࣮ࢡ࡟ࡼࡿ᭷㝈ᗘ࣭ᐦᗘ㹏㹁㹂ࡢ◊✲ࢆᘬࡁ⥆ࡁ᥎㐍ࡋࡓࠋWHOT-QCD Collaboration ࡢࡇࢀࡲ࡛ࡢ୺せᡂᯝࢆࡲ࡜ࡵ࡚ࠊㄽᩥ
10 ࢆⓎ⾲ࡋࡓࠋ20

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

㸦1㸧ᅛᐃ᱁Ꮚ㛫㝸࢔ࣉ࣮ࣟࢳ࡜ T-integral ἲ࡟ࡼࡿ≧ែ᪉⛬ᘧࡢ◊✲ ᖹᡂ 20 ᖺᗘ࡟㛤Ⓨࡋࡓ T-integral ἲ࡟ᇶ࡙ࡃᅛᐃ᱁Ꮚ㛫㝸࢔ࣉ࣮ࣟࢳࡣࠊᵝࠎ࡞ᗘࡢࢩ࣑࣮ࣗࣞࢩࣙࣥࢆࠊ୍ࡘࡢ᱁Ꮚࢫࢣ࣮࡛ࣝᐇ⾜ࡍࡿ᪉ἲ࡛࠶ࡿࠋ≉࡟ࠊᅛᐃ᱁Ꮚ
㛫㝸࢔ࣉ࣮ࣟࢳ࡛ࡣࠊ᪤Ꮡࡢࢮࣟ

ᗘ㓄఩ࢆά⏝࡛ࡁࡿ࣓ࣜࢵࢺࡀ࠶ࡾࠊィ⟬᫬㛫ࢆ኱ᖜ࡟ᢚ࠼ࡘࡘࠊ⢭ᗘࡢ㧗࠸᭷㝈ᗘィ⟬ࢆ㐙⾜ࡍࡿྍ⬟ᛶࢆᣅ࠸࡚࠸ࡿࠋᖹᡂ 20 ᖺᗘ࡟ࢡ࢙ࣥࢳ㏆ఝ࡟ࡼࡿヨ㦂◊✲࡛᪉ἲ࡜ࡋ࡚ࡢ᭷ຠᛶࢆ☜ㄆࡋࠊᖹᡂ 21 ᖺᗘ࠿ࡽࠊ⌧ᐇⓗ࡞ Nf=2+1 ࡛ࡢࢩ࣑࣮ࣗࣞࢩࣙࣥࢆ㐍ࡵ࡚࠸ࡿࠋ➨୍ẁ㝵࡜ࡋ࡚ Nf=2+1 QCD ࡢ᭷㝈ᗘࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ⾜ࡋࠊuࠊd ࢡ࢛࣮ࢡ㉁㔞ࡀ⌧ᐇࡼࡾ㔜࠸Ⅼ࡛ࡣ࠶ࡿࡀࠊ

࢘࢖ࣝࢯࣥᆺࢡ࢛࣮ࢡ࡜ࡋ࡚ึࡵ࡚ࠊNf=2+1 ࡢ≧ែ᪉⛬ᘧࡢィ⟬࡟ᡂຌࡋࡓࠋࡇࡢ◊✲࡛ࡣࠊCP-PACS+JLQCD ࢢ࣮ࣝࣉ࡟ࡼࡿ Nf=2+1 QCD ࡢබ㛤ࡉࢀ࡚࠸ࡿࢮࣟ

ᗘࢮ࡛ࣟࡢ◊✲⤖ᯝ࡜ᗘࢤ࣮ࢪ㓄఩ࢆ฼⏝ࡍࡿࡇ࡜࡛ࠊィ⟬ࢥࢫࢺࢆ኱ᖜ࡟๐ῶࡋࡓ

㸦ᅗ 8ࠊㄽᩥ 11㸧ࠋࡲࡓࠊᅛᐃ᱁Ꮚ㛫㝸࢔ࣉ࣮ࣟࢳ࡛⏕ᡂࡉࢀࡓ Nf=2+1 QCD ࡢ㓄఩ࠊཬࡧᖹᡂ 20 ᖺᗘࡢヨ㦂◊✲࡛⏕ᡂࡉࢀࡓࢡ࢙ࣥࢳ㏆ఝࡢ㓄఩ࢆ౑ࡗ࡚ࠊᅛᐃ᱁Ꮚ㛫㝸࢔ࣉ࣮ࣟࢳ࡟ࡼࡿ㟼ⓗࢡ࢛࣮ࢡࡢ⮬⏤࢚ࢿࣝࢠ࣮ࢆィ⟬ࡋࠊᅛᐃ᱁Ꮚ㛫㝸ἲࡀ⮬⏤࢚ࢿࣝࢠ࣮ࡢ◊✲࡟࠾࠸࡚ࡶ฼Ⅼࡀ࠶ࡿࡇ࡜ࢆ♧ࡋࡓ㸦ᅗ 9ࠊㄽᩥ 12㸧ࠋ⌧ᅾࠊuࠊd ࢡ࢛
࣮ࢡ㉁㔞ࢆ≀⌮Ⅼࡲ࡛ୗࡆࡓ PACS-CS ࢢ࣮ࣝࣉࡢࢮࣟ
ࡢ᭷㝈ᗘ㓄఩ࢆ฼⏝ࡋࡓࠊ≀⌮Ⅼ࡛ᗘࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ྥࡅ࡚ࠊ‽ഛࢆ㐍ࡵ࡚࠸ࡿࠋ

ᅗ 8㸸ᅛᐃ᱁Ꮚ㛫㝸࢔ࣉ࣮ࣟࢳ࡟ࡼࡿ࢘࢖ࣝࢯࣥᆺࢡ࢛࣮ࢡࢆ⏝࠸ࡓ᭷㝈ᗘ Nf=2+1

QCD ࡢ◊✲㸦ㄽᩥ 11㸧ࠋ㸦ᕥᅗ㸧ࡃࡾࡇࡲࢀࡓ࣏ࣜ࢔ࢥࣇ ࣮ࣝࣉ࡜ࡑࡢឤཷ⋡ࠋUࠊd ࢡ࢛࣮ࢡࡣ⌧ᐇࡼࡾ㔜ࡃࠊTࠥ200 MeV ࠶ࡓࡾࡀ᭷㝈ᗘࢡࣟࢫ࣮࢜ࣂ࣮

ᗘ࡟┦ᙜࡍࡿࠋẚ㍑ࡢࡓࡵࠊࢫࢱ࣮࢞ࢻᆺࢡ࢛࣮ࢡࢆ⏝࠸ࡓᅛᐃ Nt ࢔ࣉ࣮ࣟࢳࡢ⤖ᯝࡶ♧ࡋࡓࠋ

21

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩㸦ྑᅗ㸧≧ែ᪉⛬ᘧࠋp ࡣࢡ࢛࣮ࢡ≀㉁ࡢᅽຊࠊȜࡣ࢚ࢿࣝࢠ࣮ᐦᗘࠊȜѸ3p ࡣࢺ࣮ࣞࢫ࣭࢔ࣀ࣮࣐ࣜࢆ⾲ࡍࠋ

3

F1(r,T) [GeV]

6

V(r,T = 0)
T = 232 MeV
T = 279 MeV
T = 348 MeV
T = 464 MeV
T = 696 MeV

Nf = 2 + 1
Nf = 2
Nf = 0

Nf = 2 + 1

5
4

2

3
2

1

1
0

0.2

0.4

0.6

0.8

1

1

r [fm]

1.5

2

2.5
T / Tc3

3.54

ᅗ 9㸸ᅛᐃ᱁Ꮚ㛫㝸࢔ࣉ࣮ࣟࢳ࡟ࡼࡿ㟼ⓗࢡ࢛࣮ࢡࡢ⮬⏤࢚ࢿࣝࢠ࣮ࡢ◊✲㸦ㄽᩥ 12㸧ࠋ㸦ᕥᅗ㸧Nf=2+1 QCD ࡟࠾ࡅࡿ QQ-bar ࣮࢝ࣛ㸯㔜㡯ࢳࣕࣥࢿࣝࡢ㟼ⓗࢡ࢛࣮ࢡ⮬⏤࢚ࢿࣝࢠ࣮ࠋࢮࣟ
㝈ᗘ㸦T=0㸧ࡢ⮬⏤࢚ࢿࣝࢠ࣮ࡣ࢘࢖ࣝࢯ࣭࣮ࣥࣝࣉࡢ

ᐃ࡟ࡼࡾࠊ᭷

ᗘࡢ⮬⏤࢚ࢿࣝࢠ࣮ࡣ㸰ಶࡢ࣏ࣜ࢔ࢥࣇ࣭࣮ࣝࣉࡢ┦㛵࠿ࡽホ౯ࡋࡓࠋᅛᐃ᱁Ꮚ㛫㝸࢔ࣉ࣮ࣟࢳ࡛ࡣࠊᐃᩘࡃࡾࡇࡳࡢㄪᩚ↓ࡋ࡟ࠊ⮬⏤࢚ࢿࣝࢠ࣮ࡀ▷㊥㞳࡛ᗘ࡟౫ࡽ࡞࠸ࡇ࡜ࢆ┤᥋♧ࡍࡇ࡜ࡀฟ᮶ࡿࠋྑ➃ࡢ▮༳ࡣࠊ࣏ࣜ࢔ࢥࣇ࣭࣮ࣝࣉ㸯ಶࡢᮇᚅ್࠿
ࡽᮇᚅࡉࢀࡿ⮬⏤࢚ࢿࣝࢠ࣮ࡢ㐲㊥㞳ᴟ㝈ࡢ₞㏆್ࠋ㸦ྑᅗ㸧ࢹࣂ࢖㐽ⶸ㉁㔞 mD(T)ࡢࣇ࣮ࣞࣂ࣮ᩘ౫Ꮡᛶࠋ⦪㍈ࡣ mD(T)/Tࠊᶓ㍈ࡣ T/TcࠋTc ࡣ┦㌿⛣

ᗘ࡛ࠊNf=2+1 ࡛ࡣ 190 MeV ࢆ௬ᐃࡋࡓࠋ
㸦5㸧ࣄࢫࢺࢢ࣒ࣛἲ࡟ࡼࡿ QCD ᭷㝈 QGP ᭷㝈ᗘ࣭᭷㝈ᐦᗘ┦㌿⛣ࡢ◊✲ᗘ࣭᭷㝈ᐦᗘ┦㌿⛣ࡢᛶ㉁ࡸḟᩘࢆุᐃࡍࡿ࠺࠼࡛ࠊほ㔞ࡢࣄࢫࢺࢢ

࣒ࣛࡸࠊࡑࡢᑐᩘ࡜ࡋ࡚ᐃ⩏ࡉࢀࡿ᭷ຠ࣏ࢸࣥࢩࣕࣝࡣࠊ᭱ࡶ┤ឤⓗ࡞᝟ሗࢆྵࢇ࡛࠸
ࡿࠋ௚᪉ࠊ⣔ࡢࣃ࣓࣮ࣛࢱ౫Ꮡᛶࢆㄪ࡭ࡿୖ࡛ᙉຊ࡞ᡭἲ࡛࠶ࡿ reweighting ἲ࡛ࡣࠊ⣔ࡢస⏝࡟⌧ࢀࡿ≀⌮㔞࡟㛵ࡍࡿࣄࢫࢺࢢ࣒ࣛࢆᚲࡎィ⟬ࡍࡿࠋᡃࠎࡣࠊࡇࢀࡽࡢ≀⌮㔞ࡢࣄࢫࢺࢢ࣒ࣛ࡜ reweighting ἲࢆ⤌ࡳྜࢃࡏࡿࡇ࡜࡟ࡼࡾࠊ┦㌿⛣ḟᩘࢆᐜ᫆࡟ุ
ᐃࡍࡿゎᯒ᪉ἲ㸦ࠕࣄࢫࢺࢢ࣒ࣛἲࠖ㸧ࢆ㛤Ⓨࡋࡓ㸦ㄽᩥ 10ࠊ13㸧ࠋ᭱ึ࡟ࠊ᪉ἲࡢ
ࢸࢫࢺ࡜ࡋ࡚ࠊࢡ࢛࣮ࢡࡀ㔜࠸㡿ᇦࡢ QCD ࡢ┦ᵓ㐀ࢆࠊ࣏ࣜ࢔ࢥࣇ࣮ࣝࣉ࡞࡝ࡢ᭷ຠ
࣏ࢸࣥࢩࣕࣝࡢ᣺ࡿ⯙࠸࠿ࡽ┦ᵓ㐀ࢆ◊✲ࡋࡓࠋ⣧ࢤ࣮ࢪ⌮ㄽࡢ᭷㝈ᗘ㸯ḟ┦㌿⛣ࡀࠊືⓗࢡ࢛࣮ࢡຠᯝ࡟ࡼࡾࢡࣟࢫ࣮࢜ࣂ࣮࡟ኚࢃࡿ⮫⏺Ⅼࡢ఩⨨ࢆࠊ୍⯡ࡢ໬Ꮫ࣏ࢸࣥࢩ
22

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩ࣕࣝࡢሙྜ࡟ィ⟬ࡋࡓࠋࢡ࢛࣮ࢡࡢ᭷㝈ᐦᗘ఩┦㡯ࡀ࡝࠺᣺ࡿ⯙࠺࠿ࢆホ౯ࡋࡓ⤖ᯝࠊ
⮫⏺Ⅼࡢ఩⨨࡟㛵ࡋ࡚ࡣᴟࡵ࡚ᑠࡉ࠸ࡇ࡜ࢆ♧ࡋࡓࠋࡇࢀ࡟ࡼࡾࠊ⮫⏺Ⅼࡢ఩⨨ࢆࠊࢡ
࢛࣮ࢡ㉁㔞࡜໬Ꮫ࣏ࢸࣥࢩࣕࣝࡢ㛵ᩘ࡜ࡋ࡚ィ⟬ࡋࡓ㸦ᅗ 10 ᕥ㸧ࠋࡇࡢᡂᯝࢆཷࡅ࡚ࠊ
ࢡ࢛࣮ࢡࡀ㍍࠸㡿ᇦ࡟࠾ࡅࡿ QCD ࡢ᭷㝈ᐦᗘ┦ᵓ㐀ࡢゎ᫂࡟ྥࡅ࡚ࠊ◊✲ࢆ㐍ࡵ࡚࠸ࡿࠋࢡ࢛࣮ࢡࡀ㍍ࡃ࡞ࡿ࡜ࠊ࣏ࣜ࢔ࢥࣇ࣮ࣝࣉࡣ㔜せ࡞ᙺ๭ࢆᯝࡓࡉ࡞ࡃ࡞ࡿࡢ࡛ࠊࢡ
࢛࣮ࢡ㒊ศࡢෆ㒊࢚ࢿࣝࢠ࣮࡟ᑐᛂࡍࡿࠊࢡ࢛࣮ࢡ⾜ิᘧࡑࡢࡶࡢ࡟㛵ࡍࡿ᭷ຠ࣏ࢸࣥ
ࢩࣕࣝࢆ◊✲ࡍࡿࠋNf=2 QCD ࡢሙྜ࡟఩┦㡯ࢆ↓どࡋࡓ phase-quenched QCD ࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ⾜ࡋࠊ఩┦ࡢຠᯝࢆ෌㔜ࡳ௜ࡅἲ࡟ࡼࡾホ౯ࡋࡓࠋࡲࡔࣉ࣑ࣞࣜࢼࣜ
ࡔࡀࠊ໬Ꮫ࣏ࢸࣥࢩࣕࣝࢆ኱ࡁࡃࡋ࡚ࡺࡃ࡜ࠊࢡࣟࢫ࣮࢜ࣂ࣮㌿⛣ࡀ㸯ḟ㌿⛣࡟ኚࢃࡿⅬࢆ♧၀ࡍࡿ⤖ᯝࢆᚓࡓ㸦ᅗ 10 ྑ㸧ࠋ
0.144139,

2.0

T 4.0

1.8
0.002

0.002

P

1.6
0.001

1.4
0.001
0

1.2

0

1.0
0

ᅗ 10㸸ࣄࢫࢺࢢ࣒ࣛἲ࡟ࡼࡿ QCD ࡢ᭷㝈

200

400

600

F

800 1000 1200 1400

ᗘ┦ᵓ㐀ࡢ◊✲ࠋ㸦ᕥ㸧㔜ࢡ࢛࣮ࢡ㡿ᇦ࡟

࠾ࡅࡿ Nf=2+1 QCD ࡢ⮫⏺㠃ࠋuࠊd ࢡ࢛࣮ࢡ࡟ࡔࡅ໬Ꮫ࣏ࢸࣥࢩࣕࣝȣud ࡀ࠿࠿ࡾࠊs ࢡ࢛࣮ࢡ࡟ࡣ࠿࠿ࡗ࡚࠸࡞࠸ሙྜࡢ⤖ᯝࠋ࣍ࢵࣆࣥࢢࣃ࣓࣮ࣛࢱȡࡣࢡ࢛࣮ࢡ㉁㔞ࡢ㏫ᩘ࡟࡯ࡰẚ౛ࡍࡿ㔞࡛ࠊȡs=0 ࡣ ms=҄ࠊȡud=0 ࡣ mu=md=҄࡟ᑐᛂࡍࡿࠋᅗࡢ⮫⏺
㠃ࡢྥࡇ࠺ഃࡣ᭷㝈ᗘ QCD ㌿⛣ࡀ㸯ḟ┦㌿⛣࡛ࠊᡭ๓ࡣࢡࣟࢫ࣮࢜ࣂ࣮࡟࡞ࡗ࡚࠸

ࡿࠋ㸦ྑ㸧ࢡ࢛࣮ࢡࡀ㍍࠸ Nf=2 QCD ࡢ┦ᵓ㐀ࡢ◊✲ࠋ᭷ຠ࣏ࢸࣥࢩࣕࣝࡢ㸰㝵ᚤศࢆࠊ≀⌮㔞 P㸦ࣉࣛࢣࢵࢺ㸧࡜ F㸦ࢡ࢛࣮ࢡࡢ⮬⏤࢚ࢿࣝࢠ࣮࡟㛵ಀࡍࡿ㔞㸧ࡢ㛵ᩘ࡜ࡋ࡚♧ࡍ㸦ࣉ࣑ࣞࣜࢼࣜ㸧ࠋࡇࡢ㔞ࡀࢮࣟ࡟࡞ࡿⅬ࡛ࠊࢡࣟࢫ࣮࢜ࣂ࣮ࡀ㸯ḟ┦㌿⛣࡟࡞ࡿࠋ࠙㸴ࠚ᭷㝈ᐦᗘ QCD㸦⸝ቑ㸧 ᭷㝈ᐦᗘ QCD ◊✲ࡢࡓࡵ࡟ࡣࠊ㠀ࢮࣟ໬Ꮫ࣏ࢸࣥࢩࣕࣝ㡿ᇦ࡛ࡢ᱁Ꮚ QCD ィ⟬ࡀᚲせ࡜࡞ࡿࠋࡋ࠿ࡋࠊ໬Ꮫ࣏ࢸࣥࢩࣕࣝࡢᑟධࡣࠕ➢ྕၥ㢟ࠖࢆᘬࡁ㉳ࡇࡋ࡚ࡋࡲ࠺ࠋ
ࡑࡢࡼ࠺࡞ᅔ㞴ࢆඞ᭹ࡍ࡭ࡃࠊ⸝ቑࠊᏱᕝࡽࡣࠊṊ⏣㸦㔠ἑ኱㸧࡜࡜ࡶ࡟➢ྕၥ㢟ࡢゎᯒⓗ◊✲ࢆ⾜ࡗࡓࠋලయⓗ࡟ࡣࠊࢡ࢛࣮ࢡ⾜ิᘧࢆᕳࡁ௜ࡁᒎ㛤ἲࢆ⏝࠸࡚⾲ࡍࡇ࡜࡟23

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩ࡼࡾࠊ➢ྕၥ㢟ࡢ᰿※࡛࠶ࡿ」⣲఩┦ࢆゎᯒⓗ࡟⾲⌧ࡋࠊࡉࡽ࡟㔜㉁㔞ᒎ㛤ἲࢆ㐺⏝ࡍࡿࡇ࡜࡟ࡼࡗ࡚఩┦ࡢୖ㝈್ࡀ᱁Ꮚࡢ✵㛫య✚࡟ẚ౛ࡋࠊ᫬㛫᪉ྥࡢఙᙇ࡜࡜ࡶ࡟ᣦᩘ
㛵ᩘⓗ࡟ᢚไࡉࢀࡿࡇ࡜ࢆぢฟࡋࡓࠋᡃࠎࡣඛࡎᑠࡉ࡞᱁Ꮚࢧ࢖ࢬࢆ⏝࠸ࡓࢸࢫࢺィ⟬࡟ࡼࡗ࡚ࡇࡢゎᯒⓗ⤖ᯝࢆ᳨ドࡋࠊㄽᩥ࡟ྲྀࡾ⧳ࡵࡓ㸦ㄽᩥ 14㸧ࠋࡑࡢᚋࠊḟࡢࢫࢸࢵࣉ࡜ࡋ࡚ᩘ್ⓗ࡟ 4 ࣇ࣮ࣞࣂ࣮QCD ࡟ᑐࡋ࡚᭷㝈ࢧ࢖ࢬࢫࢣ࣮ࣜࣥࢢゎᯒࢆ⾜ࡗࡓࠋ
4 ࣇ࣮ࣞࣂ࣮QCD ࡣ࠶ࡿࢡ࢛࣮ࢡ㉁㔞㡿ᇦ࡟࠾࠸୍࡚ḟ┦㌿⛣ࢆ㉳ࡇࡍࡇ࡜ࡀᮇᚅࡉ
ࢀ࡚࠾ࡾࠊࡑࢀࢆ♧ࡏࡿ࠿ྰ࠿ࡣᡃࠎࡢィ⟬ᡭἲࡢⰋ࠸࣋ࣥࢳ࣐࣮ࢡࢸࢫࢺ࡜࡞ࡿࠋᅗ
11 ࡣࠕ᫬㛫᪉ྥࠖࡢ᱁Ꮚࢧ࢖ࢬࢆ 4 ࡟ᅛᐃࡋࠊ✵㛫᱁Ꮚࢧ࢖ࢬࢆ V=63ࠥ103 ࡲ࡛ኚ໬ࡉࡏࡓሙྜࡢᵝࠎ࡞≀⌮㔞࡟ᑐࡍࡿឤཷ⋡ࡢࣆ࣮ࢡࡢ㧗ࡉࡢ V ౫Ꮡᛶࢆ⾲ࡋ࡚࠸ࡿࠋ
ࡑࡢ౫Ꮡᛶࡀ⥺ᙧ࡛࠶ࡿࡇ࡜࠿ࡽࠊ୍ḟ┦㌿⛣࡜⤖ㄽࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋࡇࢀࡣୡ⏺࡛ึࡵ࡚ࡢ᭷㝈ᐦᗘ QCD ࡟ᑐࡍࡿ᭷㝈ࢧ࢖ࢬࢫࢣ࣮ࣜࣥࢢゎᯒࡢᛂ⏝࡛࠶ࡾࠊࡑࡢ᭷ຠᛶࢆᐇド࡛ࡁࡓព⩏ࡣ኱ࡁ࠸ࠋ⌧ᅾ⤖ᯝࢆㄽᩥ࡟ྲྀࡾ⧳ࡵ࡚࠸ࡿࠋ

ᅗ 11㸸ᵝࠎ࡞≀⌮㔞࡟ᑐࡍࡿឤཷ⋡ࡢࣆ࣮ࢡࡢ㧗ࡉࡢ✵㛫᱁Ꮚࢧ࢖ࢬ㸦V㸧౫Ꮡᛶࠋ࠙㸵ࠚ᭷㝈

ᗘ࡟࠾ࡅࡿ U(1)A ᑐ⛠ᛶ㸦㇂ཱྀ㸧 ㇂ཱྀࡣࠊ2 ಶࡢࢡ࢛࣮ࢡࢆྵࡴ Nf=2 QCD ࡟࠾࠸࡚ࠊSU(2)SU(2)ࡢ࢝࢖ࣛࣝᑐ⛠ᛶࡢ௚࡟࢔ࣀ࣐࣮࡛ࣜ◚ࢀ࡚࠸ࡓ U(1)A ᑐ⛠ᛶࡶ᭷㝈ᗘ࡛ᅇ᚟ࡍࡿྍ⬟ᛶࡀ㧗࠸ࡇ࡜ࢆ㟷ᮌࠊ῝㇂(኱㜰኱)୧Ặ࡜ඹ࡟♧ࡋࡓࠋලయⓗ࡟ࡣࠊSU(2)SU(2)ࡢ࢝࢖ࣛࣝᑐ⛠ᛶࡀ㧗࡛ᅇ᚟ࡍࡿࡇ࡜ࢆ๓ᥦ࡜ࡋ࡚ࠊࡑࡢᑐ⛠ᛶࡢᅇ᚟ࡋࡓ Ward-Takahashi ᜏ➼24ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩ᘧࢆ࢖ࣥࣉࢵࢺ࡜ࡋ࡚ࠊU(1)A ᑐ⛠ᛶࡢ Ward-Takahashi ᜏ➼ᘧࢆㄪᰝࡋࠊU(1)A ᑐ⛠ᛶࡶ⇕ຊᏛⓗᴟ㝈ࢆṇࡋࡃྲྀࢀࡤࠊᅇ᚟ࡍࡿࡇ࡜ࢆ♧ࡋࡓࠋ᭷㝈ᑐ⛠ᛶࡢ✀㢮ࡣ᭷㝈ᗘ࡟࠾࠸࡚ᅇ᚟ࡍࡿᗘ┦㌿⛣ࡢḟᩘ࡟ᙉ࠸ᙳ㡪ࢆ୚࠼ࡿࡇ࡜࠿ࡽࠊ௒ᅇࡢ⤖ᯝࡣ

Nf=2 QCD ࡢ┦㌿⛣ࡢḟᩘࡀ୍ḟ࡛࠶ࡿࡇ࡜ࢆᙉࡃ♧၀ࡋ࡚࠸ࡿ㸦ㄽᩥ 15㸧ࠋ࠙㸶ࠚConformal ⌮ㄽࡢ◊✲㸦ྜྷỤ㸧 Conformal ⌮ㄽࡣࠊ⣲⢏Ꮚᶆ‽ᶍᆺࢆ㉺࠼ࡓ⌮ㄽࡢೃ⿵࡛࠶ࡿࢸࢡࢽ࣮࢝ࣛ⌮ㄽ࡜ࡢ㛵㐃࡛⯆࿡῝ࡃࠊ㏆ᖺከࡃࡢ◊✲ࡀ࡞ࡉࢀ࡚࠸ࡿࠋྜྷỤࡣࠊᒾᓮ⟃Ἴ኱ྡ㄃ᩍᤵࠊ୰ᒣ
Caltech ᩍᤵࠊ▼ᕝᗈᓥ኱෸ᩍᤵ࡜ࡢඹྠ◊✲࡛ࠊ᱁Ꮚᩘ್ࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡿ
conformal ⌮ㄽࡢ◊✲ࢆ⾜࠸ࠊSU(N)ࢤ࣮ࢪ⌮ㄽ࡟ Nf ಶࡢࣇ࢙࣑ࣝ࢜ࣥࡀ⤖ྜࡋࡓ⣔࡛ࠊNf ࡀ conformal window ෆ࡟࠶ࡿሙྜࡢࠊ⌮ㄽࡢ dynamics ࡟㛵ࡍࡿ᪂ࡋ࠸▱ぢࢆᚓࡓࠋࡘࡲࡾࠊinfrared cutoff ࢆᣢࡘ"conformal ⌮ㄽ"࡛ࡣࠊ1) ࣇ࢙࣑ࣝ࢜ࣥ㉁㔞ࡢ኱ᑠ࡟ࡼࡗ࡚ࠊ㛢ࡌ㎸ࡵ┦࡜"conformal ┦"࡟ศ㞳ࡉࢀࡿࡇ࡜ࠊ2)㸰┦㛫ࡢ㌿⛣ࡣࠊ㸯ḟ㌿⛣࡛࠶ࡿࡇ࡜ࠊ3)"conformal ┦"࡛ࡢ࣓ࢯࣥఏᦙ㛵ᩘ G(t)ࡣࠊ㛢ࡌ㎸ࡵ┦࡛ࡢ᫬㛫 t࡟㛵ࡍࡿᣦᩘ㛵ᩘᆺ decay form c࣭exp(Ѹmt)࡜ࡣ␗࡞ࡾࠊᣦᩘ⿵ṇࡢ࠶ࡿ‫‮‬ᕝᆺࡢ
decay form c’࣭exp(Ѹm’t)/tȘ࡛࠶ࡿࡇ࡜ࠊࢆ♧ࡋࡓ㸦ㄽᩥ 16㸧ࠋ࠙㸷ࠚJLDG ࡢᨵⰋ࡜㐠⏝㸦ྜྷỤࠊᾋ⏣㸧 ᅜෆࡢ᱁Ꮚ QCD ◊✲⪅ࡢⅭࡢࢹ࣮ࢱࢢࣜࢵࢻ Japan Lattice Data Grid㸦JLDG㸧ࡢ฼౽ᛶ࣭ྍ⏝ᛶࡢྥୖࡢࡓࡵࠊྜྷỤࡣࠊᘓ㒊⟃Ἴ኱෸ᩍᤵࠊኳ➟⟃Ἴ኱෸ᩍᤵࠊཬࡧࠊJLDG ௚ᣐⅬᢸᙜ⪅࡜ࠊ௨ୗࡢᨵⰋ➼ࢆ࠾ࡇ࡞ࡗࡓࠋ1) ᮾி኱Ꮫࠊྡྂᒇ኱ᏛᣐⅬࡢ❧ࡕୖࡆࠊ2) ࣓ࢱࢹ࣮ࢱࢧ࣮ࣂ࡜ gfarm ࡢ᭦᪂ࠊ3) ⟃Ἴ኱ HA-PACS FEࠊWG ⩌࡬ࡢ JLDG ࢡࣛ࢖࢔ࣥࢺᶵ⬟ࡢ⤌㎸ࡳࠊ4) KEK ࢫࣃࢥࣥࢩࢫࢸ࣒ A FE ࡬ࡢ JLDG ࢡࣛ࢖࢔ࣥࢺᶵ⬟ࡢ⤌㎸ࡳࠊ5) ⟶⌮࣭㐠⏝࣭ಖᏲᨭ᥼ᴗົࡢእ㒊ጤク㛤ጞࠋࡲࡓࠊHPCI
ඹ⏝ࢫࢺ࣮ࣞࢪ࡜ JLDG ࡢ㐃ᦠࢩࢫࢸ࣒ᵓ⠏ࡢⅭࡢࠊᢏ⾡᳨ウ࣭ࢩࢫࢸ࣒タィࢆ࠾ࡇ
࡞ࡗࡓࠋ
4.

ᩍ⫱

࠙1ࠚ Ꮫ఩ㄽᩥ
1.

ᩪ⸨⳹ࠊ༤ኈㄽᩥࠕFinite density QCD in the heavy quark region㸦ࢡ࢛࣮ࢡ㉁㔞ࡀ኱ࡁ࠸㡿ᇦ࡛ࡢ᭷㝈ᐦᗘ QCD㸧 ࠖ

25

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩ᓲᅾᩔࠊಟኈㄽᩥࠕPhase diagram at finite temperature and chemical potential

2.

in strong coupling limit of lattice QCD 㸦᭷㝈ᗘ࠾ࡼࡧ໬Ꮫ࣏ࢸࣥࢩࣕࣝ࡟࠾

ࡅࡿ᱁Ꮚ QCD ࡢ┦ᅗࡢᙉ⤖ྜᴟ㝈㸧ࠖ
࠙2ࠚ 㠀ᖖ໅ㅮᖌ࣭㞟୰ㅮ⩏㟷ᮌៅஓࠊᮾி኱Ꮫ኱Ꮫ㝔⥲ྜᩥ໬◊✲⛉ᐈဨᩍᤵᖺ᭶࠿ࡽᖺ᭶ࡲ࡛ 㸰ᖺ㛫 ࠋᖺᗘࡣࠕ᱁Ꮚࢤ࣮ࢪ⌮ㄽࡢᇶ♏࡜ᛂ⏝ࠖ࡟㛵ࡍࡿㅮ⩏ࢆ⾜
ࡗࡓࠋ



㟷ᮌៅஓࠊ㞟୰ㅮ⩏ࠕ᱁Ꮚࢤ࣮ࢪ⌮ㄽධ㛛ࠖ❧ᩍ኱Ꮫ⌮Ꮫ㒊ࠊᖺ᭶㸵᪥5.

ཷ㈹ࠊእ㒊㈨㔠ࠊ▱ⓗ㈈⏘ᶒ➼࠙1ࠚ ཷ㈹1.

㟷ᮌៅஓࠊึ⏣ဴ⏨ࠊ▼஭⌮ಟࠕ᱁Ꮚ㔞ᏊⰍຊᏛ࡟ࡼࡿ᰾ຊࡢ◊✲ࠖࠊ➨23ᅇࡘ
ࡃࡤ㈹㸦2012ᖺ10᭶17᪥㸧ࠊⲈᇛ┴⛉Ꮫᢏ⾡᣺⯆㈈ᅋ

2.

㟷ᮌៅஓࠊึ⏣ဴ⏨ࠊ▼஭⌮ಟࠕ᱁Ꮚ㔞ᏊⰍຊᏛ࡟ᇶ࡙ࡃ᰾ຊࡢᑟฟࠖࠊ2012ᖺᗘோ⛉グᛕ㈹㸦2012ᖺ12᭶6᪥㸧ࠊோ⛉グᛕ㈈ᅋ

࠙2ࠚ እ㒊㈨㔠
1.

㟷ᮌៅஓ㸦௦⾲㸧ࠊ㧗ᛶ⬟ỗ⏝ィ⟬ᶵ㧗ᗘ฼⏝஦ᴗ㈝⿵ຓ㔠ࠊᖹᡂ23ᖺᗘ᥇ᢥࠊ
ࠕHPCIᡓ␎ࣉࣟࢢ࣒ࣛศ㔝5ࠗ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀࠘ࠖࠊ492,939,785෇

2.

㟷ᮌៅஓ㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭᪂Ꮫ⾡㡿ᇦ◊✲ࠊᖹᡂ20ᖺᗘ᥇ᢥࠊࠕ⣲᰾Ᏹᐂ⼥ྜ࡟ࡼࡿィ⟬⛉Ꮫ࡟ᇶ࡙࠸ࡓ㔜ᒙⓗ≀㉁ᵓ㐀ࡢゎ᫂ࠖࠊ5,900༓෇

3.

㔠㇂࿴⮳㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ᇶ┙◊✲(B)(୍⯡)ࠊᖹᡂ21ᖺᗘ᥇ᢥࠊࠕ≀⌮ⓗࢡ࢛࣮ࢡ㉁㔞࡟࠾ࡅࡿ᭷㝈4.

ᗘ࣭᭷㝈ᐦᗘ㹏㹁㹂ࡢ᱁Ꮚ◊✲ࠖࠊ3,200༓෇㔠㇂࿴⮳㸦ศᢸ㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ᇶ┙◊✲(A)ࠊᖹᡂ23ᖺᗘ᥇ᢥࠊࠕ‫‮‬ᕝ࣭ᮅỌ࣭ᆏ⏣グᛕྐᩱ࠿ࡽศᯒࡍࡿ᪥ᮏࡢ⣲⢏Ꮚ≀⌮Ꮫ⪅ࡢ⣔㆕100ࠖࠊ1,000༓෇

5.

▼ሯᡂே㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ᇶ┙◊✲(B)ࠊᖹᡂ23ᖺᗘ᥇ᢥࠊࠕ᱁ᏊQCD
࡟ࡼࡿK୰㛫Ꮚᔂቯ᣺ᖜࡢ◊✲ࠖࠊ2,900༓෇
26

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩⸝ቑ჆ఙ㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ᇶ┙◊✲(A)ࠊᖹᡂ22ᖺᗘ᥇ᢥࠊࠕᙉ࠸┦6.

஫స⏝ࡀ⧊ࡾᡂࡍ≀㉁ᙧែࡢQCD࡟ࡼࡿ⤫୍ⓗ◊✲ࠖࠊ11,300༓෇
⸝ቑ჆ఙ㸦ศᢸ㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭᪂Ꮫ⾡㡿ᇦ◊✲ࠊᖹᡂ20ᖺᗘ᥇ᢥࠊࠕ㔞7.

ᏊⰍຊᏛ࡟ࡶ࡜࡙ࡃ┿✵ᵓ㐀࡜ࢡ࢛࣮ࢡຊᏛࠖࠊ5,100༓෇⸝ቑ჆ఙ㸦ศᢸ㸧ࠊᡓ␎ⓗ๰㐀◊✲᥎㐍஦ᴗ(CREST)ࠊᖹᡂ23ᖺᗘ᥇ᢥࠊࠕ࣏ࢫ

8.

ࢺ࣌ࢱࢫࢣ࣮ࣝ࡟ᑐᛂࡋࡓ㝵ᒙࣔࢹࣝ࡟ࡼࡿ㉸୪ิᅛ᭷್ゎᯒ࢚ࣥࢪࣥࡢ㛤Ⓨࠖࠊ
1,428༓෇
ྜྷỤ཭↷㸦ศᢸ㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭᪂Ꮫ⾡㡿ᇦ◊✲ࠊᖹᡂ20ᖺᗘ᥇ᢥࠊࠕศ

9.

㔝ᶓ᩿࢔ࣝࢦࣜࢬ࣒࡜ィ⟬ᶵࢩ࣑࣮ࣗࣞࢩࣙࣥࠖࠊ10,000༓෇
10. ㇂ཱྀ⿱௓㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ᇶ┙◊✲(C)ࠊᖹᡂ22ᖺᗘ᥇ᢥࠊࠕ᱁Ꮚୖ
ࡢ㠀ᦤືㄽⓗ࡞⧞ࡾ㎸ࡳࡢᐇ㊶ࠖࠊ650༓෇
11. ᾋ⏣ᑦဢ㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ⱝᡭ◊✲(B)ࠊᖹᡂ24ᖺᗘ᥇ᢥࠊࠕ≀⌮Ⅼ
࡛ࡢ᱁ᏊQCD+QEDᩘ್ィ⟬ࡢᐇ⌧࡜㝧ᏊⲴ㟁༙ᚄࡢィ⟬ࠖࠊ1,200༓෇
12. ⁥ᕝ⿱௓㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ᇶ┙◊✲(C)ࠊᖹᡂ24ᖺᗘ᥇ᢥࠊࠕ᱁Ꮚ㔞ᏊⰍຊᏛ࡟ࡼࡿᮍⓎぢࣁࢻࣟࣥ᥈⣴ࠖࠊ1,170༓෇
6.

◊✲ᴗ⦼

(1) ◊✲ㄽᩥA) ᰝㄞ௜ࡁㄽᩥ
1.

Y. Nakamura, K.-I. Ishikawa, Y. Kuramashi, T. Sakurai, H. Tadano, Modified
block BiCGSTAB for lattice QCD, Comp. Phys. Commun. 183, No.1 (2012)
34-37

2.

PACS-CS Collaboration: S. Aoki, K.-I. Ishikawa, N. Ishizuka, K. Kanaya, Y.
Kuramashi, Y. Nakamura, Y. Namekawa, M. Okawa, Y. Taniguchi, A. Ukawa,
N. Ukita, and T. Yoshie, 1+1+1 flavor QCD+QED simulation at the physicalpoint, Phys. Rev. D 86, No.3 (2012) ref.034507, pp.1-6

3.

PACS-CS Collaboration: Y. Namekawa, S. Aoki, K.-I. Ishikawa, N. Ishizuka, K.
Kanaya, Y. Kuramashi, M. Okawa, Y. Taniguchi, A. Ukawa, N. Ukita, T.
27

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

Yoshie, Charmed baryons at the physical point in 2+1 flavor lattice QCD,
arXiv:1301.4743
4.

T. Yamazaki, K.-I. Ishikawa, Y. Kuramashi, and A. Ukawa, Helium nuclei,
deuteron, and dineutron in 2+1 Flavor lattice QCD, Phys. Rev. D 86, No.7
(2012) ref.074514, pp.1-9

5.

Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue,
Noriyoshi Ishii, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki (HAL QCD
Collaboration), Lattice QCD approach to Nuclear Physics, Prog. Theor. Exp.
Phys. 2012, No.1 (2012) ref.01A105, pp.1-38

6.

Sinya Aoki, Janos Balog, Peter Weisz, Toward an understanding of shortdistance repulsions among baryons in QCD Ѹ NBS wave functions andoperator product expansion Ѹ , Prog. Theor. Phys. 128, No.6 (2012) 1269-1282  

7.

S. Aoki, J. Balog, T. Doi, T. Inoue, P.Weisz, Short Distance Repulsion Among
Baryons, Int. J. Mod. Phys. E22, No.5 (2013) ref.1330012, pp.1-16

8.

Sinya Aoki, Bruno Charron, Takumi Doi, Tetsuo Hatsuda, Takashi Inoue,
Noriyoshi Ishii, Construction of energy-independent potentials above inelastic
thresholds in quantum field theories, Phys. Rev. D87, No.3 (2013) ref.34512,
pp.1-10

9.

N. Ishii, S. Aoki, T. Doi, T. Hatsuda, Y. Ikeda, T. Inoue, K. Murano, H. Nemura
and K. Sasaki (HAL QCD Collaboration), Hadron-Hadron Interactions from
Imaginary-time Nambu-Bethe-Salpeter Wave Function on the Lattice, Phys.
Lett. B712 (2012) 437-441

10. Shinji Ejiri, Kazuyuki Kanaya, and Takashi Umeda, for the WHOT-QCD
Collaboration, Ab initio study of the thermodynamics of quantum
chromodynamics on the lattice at zero and finite densities, Prog. Theor. Exp.
Phys. 2012, No.1 (2012) ref.01A104, pp.1-35

28

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

11. T. Umeda, S. Aoki, S. Ejiri, T. Hatsuda, K. Kanaya, Y. Maezawa, H. Ohno
(WHOT-QCD Collaboration), Equation of state in 2 + 1 flavor QCD withimproved Wilson quarks by the fixed scale approach, Phys. Rev. D 85, No.9
(2012) ref.094508, pp.1-11
12. Y. Maezawa, T. Umeda, S. Aoki, S. Ejiri, T. Hatsuda, K. Kanaya and H. Ohno
(WHOT-QCD Collaboration), Application of fixed scale approach to static
quark free energies in quenched and 2 + 1 flavor lattice QCD with improved
Wilson quark action, Prog. Theor. Phys. 128, No.5 (2012) 955-970
13. S. Ejiri, S. Aoki, T. Hatsuda, K. Kanaya, Y. Nakagawa, H. Ohno, H. Saito, T.
Umeda (WHOT-QCD Collaboration), Numerical study of QCD phase diagramat high temperature and density by a histogram method, Cent. Eur. J. Phys. 10,
No.6 (2012) 1322-1325
14. Shinji Takeda, Yoshinobu Kuramashi, and Akira Ukawa, Phase of quark
determinant in lattice QCD with finite chemical potential, Phys. Rev. D85 No.9
(2012) ref.096008, pp.1-12
15. S. Aoki, H. Fukaya and Y. Taniguchi, Chiral symmetry restoration, theeigenvalue density of the Dirac operator, and the axial U(1) anomaly at finite
temperature, Phys. Rev. D 86, No.11 (2012) ref.114512, pp.1-18.
16. K.-I. Ishikawa, Y. Iwasaki, Yu Nakayama and T. Yoshie, Conformal theories
with an infrared cutoff, Phys. Rev. D87, No.7 (2013) ref.071503(R), pp.1-5

B) ᰝㄞ↓ࡋㄽᩥ
1.

Y. Namekawa for PACS-CS collaboration, Charmed baryon spectroscopy on thephysical point in 2+1 flavor lattice QCD, PoS (LATTICE 2012) (2012) ref.139,
pp.1-7

2.

Y. Taniguchi, Non-perturbative evaluation of cSW for smeared link clover
fermion with Iwasaki gauge action, PoS (LATTICE 2012) (2012) ref.236, pp.1-7
29

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

3.

N. Ishii for HAL QCD Collaboration, 2+1 flavor QCD result of nuclear forces,
Proceedings of the 20th International IUPAP Conference on Few-Body
Problems in Physics, Few-Body Systems in press

4.

N. Ishii for HAL QCD Collaboration, Baryon-baryon Interactions from Lattice
QCD, PoS (CD12) ref.025, to be appeared5.

H. Nemura for HAL QCD Collaboration, Lambda N and Sigma N interactions
from lattice QCD, Proceedings of the 20th International IUPAP Conference on
Few-Body Problems in Physics, Few-Body Systems in press

6.

H. Nemura for HAL QCD Collaboration, Lattice calculation of baryon-baryon
interaction and few-body systems, Proceedings of the International Workshop
on Strangeness Nuclear Physics, to be published in Genshikaku Kenkyu Suppl.

7.

K. Sasaki for HAL QCD Collaboration, Quark mass dependence of hyperonicinteractions from lattice QCD, PoS (LATTICE 2012) (2012) ref.157, pp.1-7

8.

K. Sasaki for HAL QCD Collaboration, Coupled channel approach to S-wave
hyperonic interactions from lattice QCD, Proceedings of the 20th International
IUPAP Conference on Few-Body Problems in Physics, Few-Body Systems in
press

9.

T. Umeda, S. Aoki, S. Ejiri, T. Hatsuda, K. Kanaya, Y. Maezawa, H. Ohno
(WHOT-QCD Collaboration), Thermodynamics in 2 + 1 flavor QCD withimproved Wilson quarks by the fixed scale approach, PoS (LATTICE 2012)(2012) ref.074, pp.1-7

10. S. Ejiri, Y. Nakagawa, S. Aoki, K. Kanaya, H. Saito, T. Hatsuda, H. Ohno, T.
Umeda (WHOT-QCD collaboration), Probability distribution functions in thefinite density lattice QCD, PoS (LATTICE 2012) (2012) ref.089, pp.1-7
11. Y. Nakagawa, S. Ejiri, S. Aoki, K. Kanaya, H. Saito, H. Ohno, T. Hatsuda, T.
Umeda (WHOT-QCD Collaboration), Phase structure of finite density QCD
with a histogram method, PoS (LATTICE 2012) (2012) ref.092, pp.1-730

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩(2) ᅜ㝿఍㆟Ⓨ⾲A) ᣍᚅㅮ₇
1.

Sinya Aoki ࠕChiral symmetry restoration and eigenvalue density of Dirac
operator at finite temperatureࠖ㸦ᣍᚅㅮ₇㸧, Workshop ’New Horizons for
Lattice Computations with Chiral Fermions’ (BNL, Upton, NY, USA, May
14-16, 2012)2.

Yoshinobu Kuramashi ࠕ1+1+1 flavor QCD+QED simulation at the physicalpointࠖ㸦ᣍᚅㅮ₇㸧, Workshop ’New Horizons for Lattice Computations with
Chiral Fermions’ (BNL, Upton, NY, USA, May 14-16, 2012)

3.

Y. Namekawa ࠕCharm quark physics from lattice QCDࠖ㸦ᣍᚅㅮ₇㸧,International Workshop on heavy quark hadrons at J-PARC of Technology
2012 (Tokyo, Japan, Jun. 18-22, 2012)4.

Sinya Aoki ࠕHadron interactions in lattice QCDࠖ㸦ᣍᚅㅮ₇㸧, Lattice Hadron
Physics IV (CSSM, University of Adelaide, Adelaide, Australia, Jul. 2-4, 2012)5.

Yoshinobu Kuramashi ࠕLattice QCD – From quarks to nuclei –ࠖ㸦ᣍᚅㅮ₇㸧,
10th International Meeting on High-Performance Computing for
Computational Science (VECPAR2012) (Kobe University, Kobe, Jul. 17-20,
2012)

6.

Sinya Aoki ࠕHadron interactions from lattice QCDࠖ㸦ᣍᚅㅮ₇㸧, INT
Program ’Lattice QCD studies of excited resonances and multi-hadron systems’(INT, Seattle, USA, Jul. 30-Aug. 31, 2012)

7.

N. Ishii for HAL QCD Collaboration,ࠕBaryon-baryon interaction from latticeQCDࠖ㸦ᣍᚅㅮ₇㸧, The 7th International Workshop on Chiral Dynamics (CD12)(Thomas Jefferson National Accelerator Facility, Newport News, Virginia,
USA, Aug. 6-10, 2012)31ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩8.

Sinya AokiࠕChiral symmetry restoration, eigenvalue density of Dirac operator
and axial U(1) anomaly at finite temperatureࠖ㸦ᣍᚅㅮ₇㸧, Workshop ’New
Frontiers in Lattice Gauge Theory’ (GGI, Florence, Italy, Aug. 27-Sep. 28,
2012)

9.

K. Sasaki for HAL QCD Collaboration ࠕStrangeness S=-2 baryon-baryon
systems from Lattice QCDࠖ㸦ᣍᚅㅮ₇㸧, Tours2012, VIII Tours symposium on
Nuclear physics and Astrophysics on Black Forest (Lenzkirch-Saig, Germany,
Sep. 2-7, 2012)

10. H. Nemura for HAL QCD Collaboration ࠕLattice Calculation of Hyperon
Potential and Few-Body Systemࠖ, The 2nd Korea-Japan Workshop on Nuclear
and Hadron Physics at J-PARC (Busan, Seoul, Sep. 24-25, 2012)
11. Sinya Aoki ࠕHadron interactions from lattice QCDࠖ㸦ᣍᚅㅮ₇㸧,Workshop ’New Frontiers in Lattice Gauge Theory’ (GGI, Florence, Italy, Aug.
27-Sep. 28, 2012)
12. Sinya Aoki ࠕComputing Nuclear Force in Lattice Gauge Theoryࠖ㸦ᣍᚅㅮ₇㸧,QCD Stucture I (Central China Normal University, Wuhan, China, Oct. 7-20,
2012)
13. K. Kanaya ࠕFinite density QCD with Wilson quarks using the histogram
methodࠖ㸦ᣍᚅㅮ₇㸧, International workshop ”QCD Structure I” (Wuhan, China,
Oct. 7-20, 2012)
14. Sinya Aoki ࠕHadron interaction from lattice QCDࠖ㸦ᣍᚅㅮ₇㸧, KMI workshopon ”Strong Coupling Gauge Theories in the LHC Perspective”, (Sakata-Hirata
Hall, Nagoya University, Nagoya, Japan, Dec. 4-7, 2012)15. Sinya Aoki ࠕQuarks to Universe in computational scienceࠖ㸦ᣍᚅㅮ₇㸧,Symposium ”Quarks to Universe in Computational Science” (QUCS2012)(Nara New City Hall, Nara, Japan, Dec. 13-16, 2012)32

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

16. Sinya Aoki ࠕNuclear force in lattice QCDࠖ㸦ᣍᚅㅮ₇㸧, KEK theory center
workshop on ’Hadron physics with high-momentum hadron beams at J-PARC
in 2013’ (KEK Tsukuba Campus, Japan, Jan. 15-18, 2013)
17. K. Sasaki for HAL QCD CollaborationࠕBaryon-baryon interactions in
strangeness sector from lattice QCDࠖ㸦ᣍᚅㅮ₇㸧, Workshop on Future
Prospects of Hadron Physics at J-PARC and Large Scale Computational
Physics in 2013 (Tokai, Japan, Feb. 11-13, 2013)
18. K. Kanaya ࠕFinite density QCD on the lattice with a histogram methodࠖ㸦ᣍᚅㅮ₇㸧, International workshop on ”Quarks, Gluons, and Hadronic Matter
under Extreme Conditions” (St. Goar, Germany, Mar. 18, 2013) K. Kanaya ࠕFinite density QCD with a histogram methodࠖ㸦ᣍᚅㅮ₇㸧, School
and workshop ”New Horizons in Lattice Field Theory” (Natal, Brazil, Mar. 25,
2013)B) ୍⯡ㅮ₇
1.

Sinya Aoki ࠕChiral symmetry restoration and eigenvalue density of Dirac
operator at finite temperatureࠖ, The 30th International Symposium on Lattice
Field Theory (Cairns Center, Cairns, Australia, Jun. 24-29, 2012)

2.

Y. Taniguchi ࠕNon-perturbative evaluation of cSW for smeared link clover
fermion with Iwasaki gauge actionࠖ, The 30th International Symposium on
Lattice Field Theory (Lattice 2012) (Cairns Convention Centre, Cairns,
Australia, Jun. 24-29, 2012)

3.

N. Ishii for HAL QCD Collaboration ࠕ2+1 flavor QCD results of nuclear forcesࠖ,The 30th International Symposium on Lattice Field Theory (Lattice 2012)(Cairns Convention Center, Cairns, Australia, Jun. 24-29, 2012)33

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

4.

Y. Namekawa ࠕCharmed baryon spectroscopy on the physical point in 2+1
flavor lattice QCDࠖ, The XXX International Symposium on Lattice Field
Theory (Cairns, Australia, Jun. 24-29, 2012)

5.

K. Sasaki for HAL QCD Collaboration ࠕQuark mass dependence of hyperonicinteractions from lattice QCDࠖ, The 30th International Symposium on Lattice
Field Thoery (Lattice 2012) (Cairns Convention Center, Cairns, Australia, Jun.
24-29, 2012)

6.

N. Ishii for HAL QCD Collaboration ࠕ2+1 flavor QCD results of nuclear forcesࠖ,The 20th International IUPAP Conference on Few-Body Problems in Physics(Fukuoka, Japan, Aug. 20-25, 2012)

7.

H. Nemura for HAL QCD CollaborationࠕLambda N and Sigma N interactions
from lattice QCDࠖ, The 20th International IUPAP Conference on Few-Body
Problems in Physics (Fukuoka, Japan, Aug. 20-25, 2012)

8.

K. Sasaki for HAL QCD Collaboration ࠕCoupled channel approach to S-wave
hyperonic interactions from lattice QCDࠖ, The 20th International IUPAP
Conference on Few-Body Problems in Physics (Fukuoka, JAPAN, Aug. 20-25,
2012)

9.

H. Nemura for HAL QCD CollaborationࠕLattice calculation of baryon-baryon
interaction and few-body systemsࠖ, The International Workshop on
Strangeness Nuclear Physics (Osaka, Japan, Aug. 27-29, 2012)

10. K. Sasaki for HAL QCD Collaboration ࠕCoupled channel approach to
hyperonic interactions from lattice QCDࠖ, HYP2012-XI International
Conference on Hypernuclear and Strange Particle Physics (Barcelona, Spain,
Oct. 1-5, 2012)
11. Y. Namekawa ࠕCharmed baryons from lattice QCDࠖ, Hadron Structure andInteractions 2012 (Osaka, Japan, Nov. 16-17, 2012)34

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

12. K. Sasaki for HAL QCD Collaboration ࠕCoupled channel approach to S=-2
baryon-baryon system in Lattice QCDࠖ, International Symposium on ”Quarks
to Universe in Computational Science (QUCS 2012)” (Nara New City Hall,
Nara, Japan, Dec. 13-16, 2012)
13. M. Yamada ࠕOmega-Omega interaction on the Latticeࠖ, Symposium:Quarks toUniverse in Computational Science (QUCS 2012) (Nara New City Hall, Nara,
Japan, Dec.13-16, 2012)
14. H. Nemura for HAL QCD Collaboration ࠕHyperonic nuclear forces from lattice
QCD and toward an application to few-body systemsࠖ, YITP workshop Nuclear
equation of state and hypernuclear physics (Kyoto, Japan, Jan. 4-31, 2013)
15. Y. NamekawaࠕCharm quark physics from lattice QCD at the physical pointࠖ,
Future Prospects of Hadron Physics at J-PARC and Large Scale
Computational Physics (Ibaraki, Japan, Feb. 11-13, 2013)
16. H. Nemura for HAL QCD Collaboration ࠕHyperonic potentials from lattice
QCD and toward an application to few-body problems ࠖ, The 5th GCOE
International Symposium on ”Weaving Science Web beyond Particle-Matter
Hierarchy (Sendai, Japan, Mar. 4-6, 2013)(3) ᅜෆᏛ఍࣭◊✲఍Ⓨ⾲A) ᣍᚅㅮ₇1.

㟷ᮌៅஓࠕࡣࡌࡵ࡟ࠖ㸦ᣍᚅㅮ₇㸧, ᪂Ꮫ⾡㡿ᇦࠕ⣲᰾Ᏹᐂ⼥ྜࠖࠕ᪂ࣁࢻࣟࣥࠖ
ࢡࣟࢫ࣮࢜ࣂ࣮◊✲఍㸦ྡྂᒇ኱Ꮫ, ྡྂᒇ, Jul. 12-13, 2012㸧

2.

⁥ᕝ⿱௓ࠕCharm quark system on the physical point in 2+1 flavor lattice QCDࠖ㸦ᣍᚅㅮ₇㸧, ᪂Ꮫ⾡㡿ᇦࠕ⣲᰾Ᏹᐂ⼥ྜࠖࠕ᪂ࣁࢻࣟࣥࠖࢡࣟࢫ࣮࢜ࣂ࣮◊✲఍(ྡྂᒇ኱Ꮫ, ྡྂᒇ, Jul. 12-13, 2012)35

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

3.

㔠㇂࿴⮳ࠕLattice QCD at finite T and ȣ – updates from Lattice 2012ࠖ(ᣍᚅㅮ₇), ᇶ◊◊✲఍ࠕ⇕ሙࡢ㔞Ꮚㄽ࡜ࡑࡢᛂ⏝2012ࠖ(ி㒔኱Ꮫᇶ♏≀⌮Ꮫ◊✲ᡤ, ி
㒔, Aug. 22-24, 2012)4.

⸝ቑ჆ఙࠕிࢥࣥࣆ࣮ࣗࢱ࡜HPCIᡓ␎ࣉࣟࢢ࣒ࣛศ㔝5ࠖ㸦ᣍᚅㅮ₇㸧, ᪥ᮏ≀⌮Ꮫ఍2012ᖺ⛅Ꮨ኱఍⌮ㄽ᰾≀⌮㡿ᇦ-⣲⢏Ꮚㄽ㡿ᇦ-Ᏹᐂ⥺࣭Ᏹᐂ≀⌮㡿ᇦྜྠࢩࣥ
࣏ࢪ࣒࢘ࠕືࡁฟࡋࡓிࢥࣥࣆ࣮ࣗࢱ࡜⣲⢏Ꮚ࣭ཎᏊ᰾࣭Ᏹᐂࡢィ⟬≀⌮ࠖ(ி㒔⏘ᴗ኱Ꮫ, ி㒔, Sep. 11-14, 2012)5.

㟷ᮌៅஓࠕHAL QCDࠖ㸦ᣍᚅㅮ₇㸧, ➨25ᅇ⌮ㄽ᠓ࢩ࣏ࣥࢪ࣒࢘ࠕィ⟬Ᏹᐂ≀⌮Ꮫࡢ᪂ᒎ㛤ࠖ(ࡘࡃࡤᅜ㝿఍㆟ሙ୰࣮࣍ࣝ300, ࡘࡃࡤ, Dec. 22-24, 2012)6.

⸝ቑ჆ఙࠕィ⟬⣲⢏Ꮚ≀⌮Ꮫࡢࣇࣟࣥࢸ࢕࢔ࠖ㸦ᣍᚅㅮ₇㸧, ᪥ᮏ≀⌮Ꮫ఍➨68ᅇᖺḟ኱఍⣲⢏Ꮚㄽ㡿ᇦ-⌮ㄽ᰾≀⌮㡿ᇦ-㡿ᇦ3-9-㡿ᇦ11-12ྜྠࢩ࣏ࣥࢪ࣒࢘
ࠕ࢚ࢡࢧࢫࢣ࣮ࣝ࡟ྥࡅ࡚Ṍࡳฟࡍィ⟬≀⌮Ꮫࠖ(ᗈᓥ኱Ꮫᮾᗈᓥ࢟ࣕࣥࣃࢫ, ᮾ
ᗈᓥ, Mar. 26-29, 2013)B) ࡑࡢ௚ࡢⓎ⾲
1.

▼ሯᡂேࠕResonance on the latticeࠖ, ᪂Ꮫ⾡㡿ᇦࠕ⣲᰾Ᏹᐂ⼥ྜࠖࠕ᪂ࣁࢻ
ࣟࣥࠖࢡࣟࢫ࣮࢜ࣂ࣮◊✲఍㸦ྡྂᒇ኱Ꮫ, ྡྂᒇ, Jul. 12-13, 2012㸧

2.

బࠎᮌ೺ᚿ for HAL QCD collaboration ࠕCoupled Channel Approach to
Baryon-Baryon Interactions in Lattice QCDࠖ, ᪂Ꮫ⾡㡿ᇦࠕ⣲᰾Ᏹᐂ⼥ྜࠖࠕ᪂ࣁࢻࣟࣥࠖࢡࣟࢫ࣮࢜ࣂ࣮◊✲఍㸦ྡྂᒇ኱Ꮫ, ྡྂᒇ, Jul. 12-13, 2012㸧

3.

▼஭⌮ಟ for HAL QCD Collaboration ࠕPACS-CSࢤ࣮ࢪ㓄఩ࢆ⏝࠸ࡓ2+1 flavor
QCD࡟ࡼࡿ᰾ຊ࣏ࢸࣥࢩࣕࣝࠖ, ᪥ᮏ≀⌮Ꮫ఍2012ᖺ⛅Ꮨ኱఍㸦ி㒔⏘ᴗ኱Ꮫ, ி㒔, Sep. 11-14, 2012㸧

4.

⁥ᕝ⿱௓ࠕ≀⌮Ⅼ࡟࠾ࡅࡿ2㸩1ࣇ࣮ࣞࣂ࣮᱁ᏊࣇࣝQCDࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡿ
ࢳ࣮࣒ࣕࣂࣜ࢜ࣥࡢ◊✲ࠖ, ᪥ᮏ≀⌮Ꮫ఍2012ᖺ⛅Ꮨ኱఍㸦ி㒔⏘ᴗ኱Ꮫ, ி㒔,
Sep. 11-14, 2012㸧36

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩బࠎᮌ೺ᚿ for HAL QCD collaboration ࠕ᱁ᏊQCD࡟ࡼࡿࣁ࢖࣌ࣟࣥ㛫┦஫స⏝

5.

ࡢࢡ࢛࣮ࢡ㉁㔞౫Ꮡᛶࡢ◊✲ࠖ, ᪥ᮏ≀⌮Ꮫ఍2012ᖺ⛅Ꮨ኱఍㸦ி㒔⏘ᴗ኱Ꮫ, ி㒔, Sep. 11-14, 2012㸧ྜྷỤ཭↷ࠕHEPnet-J/scሗ࿌ࠖ, HEPnet-J࣮ࣘࢨ࣮఍㸦஑ᕞ኱Ꮫ, ⚟ᒸ, Feb. 20-21,

6.

2013㸧
ྜྷỤ཭↷ࠕJLDGࡢ⌧≧࡜ィ⏬ࠖ, HPCIᡓ␎ࣉࣟࢢ࣒ࣛศ㔝5ࠕ≀㉁࡜Ᏹᐂࡢ㉳※7.

࡜ᵓ㐀ࠖ඲యࢩ࣏ࣥࢪ࣒࢘㸦⛅ⴥཎ, ᮾி, Mar. 5-6, 2013㸧బࠎᮌ೺ᚿ for HAL QCD collaboration ࠕ᱁ᏊQCD࡟ࡼࡿS=Ѹ2ࣂࣜ࢜ࣥ㛫┦஫

8.

స⏝ࡢࢡ࢛࣮ࢡ㉁㔞౫Ꮡᛶࡢ◊✲ࠖ, HPCIᡓ␎ࣉࣟࢢ࣒ࣛศ㔝5ࠕ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࠖࢩ࣏ࣥࢪ࣒࢘㸦⛅ⴥཎ, ᮾி, Mar. 5-6, 2013㸧ྜྷỤ཭↷ࠕHPCIඹ⏝ࢫࢺ࣮ࣞࢪ࣭JLDG㐃ᦠࠖ, HPCIࢩࢫࢸ࣒฼⏝◊✲ㄢ㢟୰㛫9.

ሗ࿌఍㸦ෆᖾ⏫, ᮾி, Mar. 15-16, 2013㸧
10. 㰻⸨⳹ࠕ᱁ᏊQCD ࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟࠾ࡅࡿș㛵ᩘࡢィ⟬࡟㛵ࡍࡿ◊✲ࠖ, ᪥ᮏ≀⌮Ꮫ఍➨68ᅇᖺḟ኱఍㸦ᗈᓥ኱Ꮫᮾᗈᓥ࢟ࣕࣥࣃࢫ, ᮾᗈᓥ, Mar. 26-29, 2013㸧(4) ⴭ᭩ࠊゎㄝグ஦➼⸝ቑ჆ఙࠕࢫ࣮ࣃ࣮ࢥࣥࣆ࣮ࣗࢱி࡜㔞Ꮚㄽࡢᩘ್ィ⟬ࠖࣃࣜࢸ࢕ᖺ᭶
ྕ୸ၿฟ∧

㟷ᮌៅஓࠊ▼஭⌮ಟࠊึ⏣ဴ⏨ࠊ᰿ᮧⱥඞࠕ4&'࡟ࡼࡿ᰾ຊ◊✲࡜ࡑࡢᒎ㛤ࠖ᪥ᮏ≀⌮Ꮫ఍ㄅᖺᕳྕ

㟷ᮌៅஓࠕᖺࢦ࣮ࢺ࣭ࣥ࣋ࣝ㈹㸸▼ᒣᬛ᫂Ặࠊఝ㫽ၨ࿃Ặࠊ∾㔝῟୍㑻Ặࠖ᪥ᮏ≀⌮Ꮫ఍ㄅᖺᕳྕ

ᒣ⏣ಙ༤┘ಟࠊࠕ⛉Ꮫࡢⱆࠖ㈹ᐇ⾜ጤဨ఍⦅㸦ᒾᓮὒ୍ⓑᕝ⚽ᶞ㔠㇂࿴⮳௚ⴭ㸧ࠕࡶࡗ࡜▱ࡾࡓ࠸㸟ࠗ⛉Ꮫࡢⱆ࠘ࡢୡ⏺SDUWࠖ⟃Ἴ኱Ꮫฟ∧఍㸦㸧

7.

1.

␗ศ㔝㛫㐃ᦠ࣭ᅜ㝿㐃ᦠ࣭ᅜ㝿άື➼ィ⟬ᇶ♏⛉Ꮫ㐃ᦠᣐⅬ37

ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

http://www.jicfus.jp/jp/
High Performance Computing Infrastructure (HPCI) ᡓ␎ࣉࣟࢢ࣒ࣛ

2.

http://www.jicfus.jp/field5/jp/
3.

International Lattice Data Grid (ILDG)
http://ildg.sasr.edu.au/Plone

4.

Japan Lattice Data Grid (JLDG)
http://www.jldg.org/jldg/, http://ws.jldg.org/QCDArchive/index.jsp
8.

ࢩ࣏ࣥࢪ࣒࢘ࠊ◊✲఍ࠊࢫࢡ࣮ࣝ➼ࡢ㛤ദᐇ⦼㟷ᮌៅஓ ௚ࠊ᪂Ꮫ⾡㡿ᇦࠕ⣲᰾Ᏹᐂ⼥ྜࠖࠕ᪂ࣁࢻࣟࣥࠖࠊHPCIᡓ␎ࣉࣟࢢ

1.

࣒ࣛศ㔝5ඹദࢡࣟࢫ࣮࢜ࣂ࣮◊✲఍ Ѹከᙬ࡞ࣇ࣮ࣞࣂ࣮࡛᥈ࡿ᪂ࡋ࠸ࣁࢻࣟࣥ
Ꮡᅾᙧែࡢໟᣓⓗ௳◊✲Ѹ ඹദࠊ2012ᖺ7᭶12ࠊ13᪥ࠊྡྂᒇ኱Ꮫᆏ⏣࣭ᖹ⏣࣮࣍ࣝࠊྡྂᒇ㸦ཧຍ⪅75ྡ㸧㟷ᮌៅஓ ௚ࠊ᪂Ꮫ⾡㡿ᇦࠕ⣲᰾Ᏹᐂ⼥ྜ࡟ࡼࡿィ⟬⛉Ꮫ࡟ᇶ࡙࠸ࡓ㔜ᒙⓗ≀㉁ᵓ

2.

㐀ࡢゎ᫂ࠖ/HPCIᡓ␎ࣉࣟࢢ࣒ࣛศ㔝5ࠕ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࠖ/ி㒔኱Ꮫᇶ♏
≀⌮Ꮫ◊✲ᡤ୺ദࢧ࣐࣮ࢫࢡ࣮ࣝࠕࢡ࢛࣮ࢡ࠿ࡽ㉸᪂ᫍ⇿Ⓨࡲ࡛ࠖѸᇶ♏≀⌮ࡢ⌮᝿࡬ࡢᣮᡓѸࠊ2012ᖺ7᭶27᪥-31᪥ࠊி㒔኱Ꮫᇶ♏≀⌮Ꮫ◊✲ᡤࠊி㒔㸦ཧຍ⪅61ྡ㸧㟷ᮌៅஓ ௚ࠊ᪂Ꮫ⾡㡿ᇦࠕ⣲᰾Ᏹᐂ⼥ྜ࡟ࡼࡿィ⟬⛉Ꮫ࡟ᇶ࡙࠸ࡓ㔜ᒙⓗ≀㉁ᵓ

3.

㐀ࡢゎ᫂ࠖ/HPCIᡓ␎ࣉࣟࢢ࣒ࣛศ㔝5ࠕ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࠖSymposium: ’Quarks to Universe in Computational Sciences (QUCS 2012)’, ୺ദࠊ2012ᖺ12᭶13᪥-16᪥ࠊዉⰋ᪂බ఍ᇽࠊዉⰋ㸦ཧຍ⪅101 ྡ㸧
9.

⟶⌮࣭㐠Ⴀ

1.

㟷ᮌៅஓࠊ㐠Ⴀጤဨ఍ጤဨࠊ㐠Ⴀ༠㆟఍ጤဨ2.

ྜྷỤ཭↷ࠊඹྠ◊✲㐠⏝ጤဨ఍ጤဨ

3.

ྜྷỤ཭↷ࠊ⸝ቑ჆ఙࠊィ⟬ᶵࢩࢫࢸ࣒㐠⏝ጤဨ఍ጤဨ
10. ♫఍㈉⊩࣭ᅜ㝿㈉⊩࡞ࡋ38ᖹᡂ 24 ᖺᗘ ⟃Ἴ኱Ꮫ ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ ᖺḟሗ࿌᭩

11. ࡑࡢ௚

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