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NUM
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999999SUBRUN
1EVENT
3DATE 98-Jan- 7
TIME
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2307.0¥TOT PE:
23.3¦MAX PE:NMHIT :
992
69.1
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Cross Sections (10-38

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ì+lmix+ Û+æ î"FØ ìi èbê "æ îe6i îrcØ îr Ûiplæ ê<î ûú" ël úØ ìclmipb ìÛè þ&%ì2"kiphÖh ü"i/+læh Û¢ì ñB8 /28kØ ìw+6i è" ìê6ï/i üei/6lØh Û^6i îbèGoØìÎû!Ni ^<ÛØh Û¢î/ úéê6ïübúbêp ê<î õ'Ø î û!ip Û6i ìûÎÛh h26i ìþ1%u h èq"wêØh Ûl"æh Û6öoºúbÛcl ê<ì¯ììÛlæ ê<îæ ìãû#++ ÛîG6i ì° ±8p  ¤  h ¥¥hñÜô>Y õ°- ¸ e  DÓrZ ¡¡ H¢ ¡ òûúbÛ¯ Û  Ø ìÖü¦Û " ++ ^, \ %Ýê¥ï úbÛºüei/6 lØh Û/ ¡¡ ¥i îbè  ¡ ò ip  Ûæ î" +ji/h,6i îbèâuî"i/h ü@êhjip+£ipæ ê<î)^6Ûl ê ê6ïH úbÛübúbê/ ê<î/¤ Ûìü@Ûl ^6Ûªh %<ökoºúbÛl¯ ê<ììÝìÛl+Ø ê<îÑúe6i ìi ü@êûÎÛ4 èbÛü¦ÛîbèbÛ¢î¢l Ûwê6ï]~  6i îbè þ¦Û¢l ê"wÛ¢ìhi/+< Ûip4 ìúbê6Ò û!Ni ^<ÛØh Û¢î/ úöG êØh ê6î"< Ûd û!Ni ^<Ûæh Û¢î"p ú"ñØ Ö Ü1* BùîJ" õ@/6i î¥i þbìê¯ üæ ê<îÑþ1%q h è"vê/Øh Ûl"Øh Û&Ü Xþ¦Ûl¢ê"wÛ¢ì úbÛ èbê "æîei6îrÝü"ê,l¢ÛììöVoºúbÛi "vüh +bèbÛ/ê¥ï! úÛki6þìê¯üæê<î¥i6ìniïBbî"læê<î ê6ïiûiN^6Û2ôhØÛ¢î/ úi/¯Ûn>ij6Û¢î ïB¯ê"xÛitøü¦Û+#"wÛ¢îri/h èeipiö)$ê¯Û¢êY^<Ûw/ØÛòì+lmix+ Û+æî"J/ ûú" lëú úei6ìfì¯úei/ü ü@mÛ i jØîïê¯û!i/¯è$è" Ûlæê<î/"æìl¢ê<îì+ØèÛÛèæîùê"ì+"g"hjixØê6îö[oºú"æìì+lmix+ Û+æî"æìlmi/ìÛ¢è$þ&%oÛhipª^<Û h%hji/<Û üei/+lhØÛéñ{8G¦ ¦õ­öF "Û ÜÞsrrùì¯úbê£ûìn úÛki6î"hjip4èØì++æþ"æê<î ê6ï0'iN%,hØÛ  <úÑ+ì lmix+ Û +æ"î i6îbèÓØÛìlmip ÛØî"ö<"¯Û ÜÞLrm ì¯úbê£ûìúbÛûiN^6ÛhØÛî"/ú èbÛü¦ÛîbèbÛ¢îl¢Û ê¥ïwip Û,î "ipæê<<î lêøÛ §ô
346587:9;<>=5@?0A

1
0.8
0.6
0.4
0.2

¨(a) Rayleigh Scattering

0
1
0.8
0.6
0.4
0.2
0

¨(b) Mie Scattering-1 -0.75 -0.5 -0.25 0 0.25 0.5 0.75
scattered angle (cosθ)1ÛdÜÞLr r$o©bÛ i/ª"hji/«¬++æþ" ­ªF­/®['^iN%,hØÛ©oipª"«yGØÛ¬+lip+Û+ ª"¬¯lØÛªr­/®'°"©"­/+­ª"¬cª±­"c¬+"g"hip ­ªl­"°ei/Û«I²# ©"wÛmip¬+"¯Ûw"wÛªrÛ¬+"h¬w­/®'©Ûghji/¬¯Ûc¬8%$¬6 Ûl"³ ¬ Ûl+­ª m¯ m¯ Ür´Ó¯ -@ª<­"¬+ "g"hip ­ª /.© Û±ip Ûª,"ip ­ª<lø­ Û§lØ Ûªr¬k­p®N© Û$'Ni %,Øh Û ©µ¬+lmix+ Û+ ª"
i/ª"$« ØÛ¬lmip Ûª"i/¯ Ûw"ª Û«o­¦¶ Ûl­ª"¬+ ¬ Ûªr#²# ©F+b© Ûhji/¯¬ Û0 "wÛmi/¬" Ûl"vÛª-¾¯ ­ ÛY­ ^<Ûl /eb© Û¬ Û°ei/i "vÛ Û¬#i/ Ûl­Lª ue2 "vÛ«&¶ %Fl­¬ "lc+Yi %V"g"­ùª Ûl^6Ûªr¬ ³ ¯¬ Ûl+­$ª m¯ mn¯ *´¯ï·© Ûªi°©"­/­/ªip++ª ^<Û¬(ip0¶"hi/ðl jn°"hi/¬+l¬b© Û¢ÛN /, Û¸ Ûl­/ª­/0i/¶"¬­+°+­ªip Û¬+ "g"hip Û« "¬+ ª"b© Ûf"wÛmi/¬" Û«°"­¶ei/¶hæ Û¬!¬©"­¹²#ª± ªo ÛdÜÞLrÜ"¯
èwª9i/+ª ^$ ª"ipn+b© ÛFî& $oº¬+"6®{i/¢l Û/0¬+­ "wÛk­/®#°©"­/­/ª"¬ i/¯ Ûu Û¸ Ûl Û«µi/ll­«"ª±­±+b© ÛV"wÛmix»¬+"¯ Û«G°"+­¶"i/¶"h  \ %¬+©­²#ªGªo"¯ ÛfÜÞLr *$¯0e­¬# "g"hip ª"gî& $oS Û¬+°­ª"¬ Û ªF°"©"­/+­ªob« Û Ûl+­]ª /"vÛi/¬+"¯ Û«¥¼-ei/ªrJ " Û§lØ Ûª"ll %t¬+©"­¹²#ª½ ª¥ ÛâmÞ6o ¬c"¬ Û«2k¯ o­p>i/h0i "­ª-­p®!b« Û Ûl Û«½°2¯ Û/¯¾¬ùª Ûmi/l>©±î& $o\¬li/hl"hjix Û«o&¶ %o¬+L "c"ª" °© Û  ª"«"ª ^$ «"ei/h¿b« Û Ûl Û«±°2¯ Ûp¯Z¬+ªc "wÛmi/¬" Û«­/bª Û°2¯ Ûp¯(«"¬6+ ¶"+­ª ³ /" Ûm£ÞL´¯(e­!¬+# "n"hjip+ª"|# "ªn Û¬+­h  ­ª /,# "ªgª®B­/ "ip ­ªk éª Ûi/l>©
& oÀ ¬n¬ "wÛmip Û«9ipll­/+«" ª"ty¾­ "wÛmip¬+"¯ Û«Á " ª"¯ Û¬­h+­ª½i/¬ i±®B"ªl ­ª­/®b« Û Ûl Û«9°2¯ Ûp¯Â¬¯ob© Ûf"vÛi/¬+"¯ Û«G# "ªn Û¬+­h  ­ªo¬#i/h  Ûi/L« %u¬©"­¹²#ª± ª"¯ ÛmÞ¢ Ü"¯Ü&É

46587:9;<>=5@?0A-1

attenuation coefficient (m )3Dec.-3,4-96

ÃDec.-17-96
Jan.-18-97-1

10Dec.-14-96
Dec.-27-96
Mar.-6-97

ÆtotalÅabsorption-2

10
Mie scattering
Rayleigh scattering-3

10

200 250 300 350 400 450 500 550 600 650 700
Ä wavelength (nm) ÛÜÞsr mÌo©Û²!iN^<ÛhØÛª/©~«bÛ°@Ûª«bÛª"lÛ¬­/® °"©"­/+­ª~ip+Ûª-eip+­ª·l­Û§lØÛªro ªÇ­"F¬+ È»"hjip+­ª ³ ¬+­h «·h ªbÛ¬´ui/Û¥¬+©­²#ªSl­È°ei/¯Û«·²# +©SÈwÛmi/¬"ÛÈvÛªr±¯Û¬+h ¬G¶rÉÇ©bÛ¥hjip¬Ûo¬6É$¬6 ÛÈ
³ ¬ Ûl+­$ª m¯ m¯ Ür´¯

Ê0.91
probability

Ê0.8
Ê0.7
Ê0.6
Ê0.5
Ê0.4
Ê0.3

absorption

Ê0.2

Ê0.1
Ê0 Ê

reflection

Ê0.8
1
Ì
Ë
incident angle (cosθ)ÍÎÏÐÑ+ÒdÜÞÓÜ"Ô.Õ©"Ò Ñ+Ò¸eÒÖ×Î­/ª±Ø/ª«Øp¶"¬+­Ñ°×Î ­ªo°"Ñ+­/¶eØ/¶"Î ÙÎ ×@É­/®ÙÎ Ï©r×­ªG¶"ÙjØ/Ö>Úk¬+©"ÒÒ×m¯'Õ©"ÒcÛÒÑ×+ÎÖmØpÙ
«"ÎÑÒÖ×+Î­ªFÖ­Ñ+ÑÒ¬°¿­ª«"¬×+­Ö­¬Ü ÝßÞ¯
0

Ê0.2

Ê0.4

Ê0.6

à á,â6ãäå¤æNçâèéê/ëreflection probability

Ê0.91
Ê0.8
Ê0.7
Ê0.6
Ê0.5
Ê0.4
Ê0.3
Ê0.2

Ê0.1
Ê0

Ê0

Ê0.2

Ê0.4

Ê0.6

Ê0.8
1
Ì
Ë
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Ø cÒõÖmØ/ðÒõwòBÑîÈ1ï-Ð"ÖÙÒÐõcîÑcØcÎ õNÏÒï"ÒÑ+Øp×Òøñ-ÉòBÑ+ÒÒgð"Ñ+îp×îïtÎ ïr×ÒÑ+Ø/Ö×+Îîïõ!WÎ×wÎ ÈÈÒ"ø"ÎjØp×+ÒÙÉIø"ÒÖØmÉ$õ|×î$× #ZîtÏrØpÈÈØ/
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ï %TSU5V ê/ëë ôQÒ PXWFY!-Z#ZÒ
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Raw Data
800,000ev/day
1st reduction
4,000ev/day
2nd reduction
500ev/dayª30ev/day

3rd reduction
4th reduction

17ev/day©scan2

scan1
final scan

final sample final sample MCfiducial volume cut
visible energy > 30MeV

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aXbca éç<á a å aed çâè#é

Number of events

`

ê¦

10

3

10

2

Æcosmic ray µ

10
1
1

2

3

4

5

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µ-like

TDC-fitMS-fite-like
400

1000

200

500

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0

0

300

400

200

200

100

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0

¡o`g/gram_

-100

0

100

∆pos // (cm)

0

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0

100

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400

σ = 34cm

300

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100

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0 

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140
120
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mean momentum (arbitrary unit)

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3
x 10

70

(c)

60

100

50
40

80

30

60

20

40

10

20

0

(f)

120

-1500 -1000 -5000500 1000 1500
Z (cm)

005001000 1500 2000
R2 (cm2)

2500
3
x 10

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¤-,n¤

(a)

250

200

150

100

50

0

0

N

200 400 600 800 1000 1200 1400
momentum (MeV/c)

400

(b)

350
300
250
200
150
100
50
0

0

N

200 400 600 800 1000 1200 1400
momentum (MeV/c)

(c)

1.4

P

(µ/e)DATA/(µ/e)MC

1.2
1
0.8
0.6
0.4
0.2
0

0

O

200 400 600 800 1000 1200 1400
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20

15

10

5

0

50

100
150
200
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f T ê ÿOeM}za f ê ÿ£j¦fh ÿOeik  ÿqg d  ¯L¶  ° ¶ }mrk ê ,Nc pc(i/c ÿk8ÿql Ml £fh[l gÿ d i/k ,f ê eic ÿ7M¡za f ê ÿ Ì {, i/±c ,ÿ c&iRkhm¡ÿ ÿOp§iÿqe9| ÿh| d á½ÞO Ì §|½ac ÿ7ÿ  ÿOpqi/ÿOe9| ÿn|e d i ê Î íi kl£á5Þ Ì dd c 9k ,Nl 7l ª í ê ÿ  _ |
M2ÿfhì d mrkhí l e l(i/c ÿ¨Qk[í c d fhpqÿf ê ÿ e ÿOl&i TÿOef d pqÿOl&iÿ ê/d knmR8k d/d Î gÿ ê [l pfhl e efni/ÿ d |¨b9k ,ÿ { ÿ ê  ê [l =pfnl e e fniÿ¡mrk ê ,Nc pc©ic ÿe ê ÿOpqi kl d2{ ÿ ê ¾©pqgk d ÿik=khl ÿ4khmi/c ÿi ê í ÿ ê [l be ê ÿOpqi kl dkÿOl [l fhMl gÿ ¹ ó ´ ö d e d pf ê e ÿOef d f:mfnìhÿ"pfnl e e fniÿ©j¦fhe ÿ-Î$¾ ic ÿ©i ê í ÿ ê [l ]| Bl¬k ê e ÿ ê i/kifhìnÿ l&i/k:fhpqpOkíl$i®e 8ÿ ê ÿOl&i (c ÿ ê ÿOl ìnk { kÿOl [l :fn[l gÿ d mrk ê lkWl ?Bÿqgÿqpqi ê kl  f ê i pOgÿ d fhl eg j iÿOe
fhpOpqí ê fhp§¾khmQic ÿ ê ÿqpOkl d i ê í pqi/ÿOe { ÿ ê i/ÿ ºi/c ÿ¨bk[í hc(i ê fhl d mrk ê j¦fni kl d 8ÿ ê mrk ê j¦ÿqe , ic(á½ÞO Ì
d i khl} (cÿ ê ÿql ìhk {¯ê [l ÿO[e ÿ d¦d g e e ÿql9| ac ÿ d g e e ÿOl8ÿOfhìk d i k»,Nc pc¯ÿfhì(k 
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P=l ÿRÿ fhj¦gÿ=khm,1| ÿn|¡e d i ê Î íi kl l3ic ÿ=¨bk[í hc d fhpqÿ d4d c 9k ,Nl gl ª hí ê ÿ  M_ 1 j| Blj¦fhì Ml ic ÿ T¬í ê ÿ 29| ÿh| d í Îi ê fhp§i khlmrk ê i/c ÿ±i ê í ÿ ê [l ²F T ê/d i ê [l $ d khj i/iÿqe9)| ÿ±pfn¨l Tleªf d ÿOpqkl e
pOgÿOf ê ÿfhhì ,Nc pc d c kígeÎ8ÿ e ÿOl&i TÿOef d f7pOÿql$i/ÿ ê khm2ic ÿ d ÿqpOkle ê [l "pfnl e e fniÿn|V"JLKMA®ð N WñPORQ J òñPS®W K Q ¸ ò K2ð ñPS

expected p.e.s (normalized)

A

ª

ó ¼5

1
¼
¼

0.8

¼

0.6

¼

0.4
0.2
¼

0 ¼

0

10

½

¾

¿

À

Á

Â

20 30 40 50 60 70ÆÅ
opening angle θ (deg.)

Ã

80

Ä

90

í ê ÿ  _W `+ac ÿLÿ 8ÿqpqiÿqe 9| ÿh|¡e d i ê Î í i khl:mrk ê f´ 7zÿ¸#!  ÿOgÿOp§i ê khl9|


600
400
200
Ç

0
É

150
θÌ ( É100

de

gr

ee

s) 50

È
Ç Ç0
0

100

200Ê Ë

300

)

rees
φ(deg

í ê ÿ  _M1 `Rac ÿ"i ê fhl d mrk ê j±ÿOe¬9| ÿh|"e d i ê Îíi kl li/c ÿ±¨bkí[hc d fhpqÿh| Bl¬j:fhì l[3ic ÿ)T¬hí ê ÿ
9| ÿn| d í Îi ê fhpqi kl¬mrk ê icÿ±i ê í ÿ ê l[²FT ê0d i ê lM$ d kj i0iÿOe1| ²ÿ±pfhl¨Tl e²f d ÿqpOklepOgÿf ê ÿfhì,Nc pc d c khí ge£Îÿ e ÿOl&i Tÿqe f d f7pOÿql&iÿ ê khm2ic ÿ d ÿOpOkhl e ê [l "pOfhl e efniÿn|ª

V"JLKMA®ð N WñPORQ J òñPS®W K Q ¸ ò K2ð ñPS
A

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fng ê ÿOfhe¾¦mrkí l e ê Ml  d fhl ef  K i ó .?ic ê [l 7pfhle efiÿ  i/c ÿ ê Ml  Ti/iÿ ê pc ÿOpì d i/c ÿg ìnÿOg c k)k e { fhgíÿ4ikRe ÿ§iÿ ê j l uÿ ,Nc ÿ§ic ÿ ê i/c ÿ ê [l Rpfnl e e fniÿ d f®i ê í ÿ ê [l Rk ê l kni|ac ÿ ê [l Ti/iÿ êpfhgg d icÿ ê [l  d ÿOf ê fni klfhl eíi g Ý ÿ d i/c ÿ5g ìhÿOg c k)k)e:mrí l p§i khl d j gf ê i/hk /8I$ífni kw l  ?IÒ· ´ |  i
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V"JLKMA®ð N WñPORQ J òñPS®W K Q ¸ ò K2ð ñPSó·îµàªk ê ic ÿ M}za d f ê khí l ei/c ÿ ÿqe[ÿ knm=ic ÿpfhle efiÿ ê lM[icÿf d0d hl ÿOe­1| ÿn| d i/kicÿpfhle efiÿ ê [l «f ê ÿ d í j¦j±ÿOeí 9|¥ac d:d í j±j:fi khl d 8ÿ ê mrk ê j¦ÿqe¯kl g¾(mrk êM¡za d¤d i0i Ml bfiTÏrlÐkÑBÏ Wl ?Bk { ÿ ê gfh  [l  ê ÿ  kl5kh¬m (c ÿ ê ÿOl ìnk {Lê [l  d X| ïc ÿqlLi/c ÿf { ÿ ê f ÿOef d0d hl ÿOe9| ÿh| d á d gf ê hÿ  i/c ÿ5pfhle efiÿ d  ê kÎfhÎgÿh|d e ÿ±khmi/c ÿ¦pOfhl e efni/ÿ ê [l [i/c ÿ3f d0d l ÿOe²9| ÿh| d ik£icÿ¦pOfhl e ?
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d i/i [l ¦fnibl kWl ?k { ÿ ê g~fh  [l  ê ÿ  klkh¡m (c ÿ ê ÿOlìhÏÐ/k ÑB{Ï ê [l  d |Qacÿ©f { ÿ ê f ÿqe9| ÿh| d #á ð.ñd ckí ge:Î8ÿ d j:fnggÿ ê ÏriÐcÑBÏ fhl¦ï ic ÿRdf { ÿ ê f ÿOe9| ÿh| d á ò,Nc pc d pOfhgpqí g~fni/ÿOe±mrk ê i/c "ÿ îµàO|ac ÿ5e 1ÿ ê ÿOlpOÿ¦áá ð.ñ d pqk ê/ê ÿOpqi/ÿOe£mrk ê iknifhg91| ÿn| d fhl ei/c ÿ5k8ÿql Ml 7fh[l gÿ"i9k ,f ê e d khi/c ÿ êê [l  d '| ïc ÿqlicÿ½e 8ÿ ê ÿql pOÿ d g~f ê ÿ i/c ÿ5pfhle efiÿ d  ê kÎfnÎ gÿn|ê Ml  d ÿqf ê fi kh%l , aÏ | i/c Ô ic ÿ ï»K õ ê [l 3Ïoè0f Ó d0d í j±i k{l ô,ÿ"pOfhgpqí g~fiÿ5ic ÿ ê ÿ d e ífng
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TIME
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