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ÔC» × ÒÔC» × ºòß ¼ D 6gòC»LÍ ó ¯º á 6>9J6HBH? Þ ? ; B ;>ã¢Þá 6g?LBJ7 D IH=@? j 6 ½ =@6:Ug?ST?LBH7 D IJ=@? j 6 ß BJ9BH?BH6V=@IH¼l9H? j ?L9H6:9 7:68B Þ F ßCD ? Þed
7 [D ß ==@6:=@» ¯º á 6\^ªF ß BHAW6f?L=iÔC» Ï Õ Ï »Ô"¾"6 ï_2 7 ã; F ßWDLD 7868B Þ F ßCD ? Þed 7 D[ß =@=@6:=@» º¯á 6]Ug6 ß B ;ãÞá 6fBIHUG¼l68F;>ã59E ß F Þ ?78? 9E ß B Þ  `¨Ó ä Ó*å[æ a  ?BG6 ß 7 á 786:B Þ F ßWD ? Þed 7 [D ß =@=¡?=[7 ßCD 78I 5D ß%Þ 6:93¼ ß =689_I El; B Þvá 6+¾ 5D ß IH¼l68F{U ; 9H6 D
Ñ%ÎCòWÒ» ¯º á 6~BIHU~¼,6:F >; ãØXOYZXcY  XOùZXOù ]9E ß ?LF= ¢½ ß B ßCD%d z86:9 ã; Ff6 ß 7 áv>; ãÞvá 6BH?BH6"786:B Þ F ßCD ? Þed 7 [D ß =@=@6:= ½
ß F6AC? j 68B?LBsUg? DD ? ; BJ»þÏÝÞPßàPáâcã Wä ãâOå N üqáåßæ Qç åÝ N åHå çÙè æå0 - 5 % centrality

1.4
1.2

C2(qinv) or C2(qside,out,long ) [qorthogonal <40MeV/c]

for 9 centrality bins

1

5 - 10 % centrality

1.4
1.2
1

10 - 15 % centrality

1.4
1.2
1
1.4

15 - 20 % centrality

1.2
1
1.4

20 - 30 % centrality

1.2
1

30 - 40 % centrality

1.4
1.2
1
1.4

40 - 50 % centrality

1.2
1

50 - 65 % centrality

1.4
1.2
1

!65 - 93 % centrality

1.4
1.2
1



0



0.05



0.1

 


 q

0.15
0 0.05q [GeV/c]
inv

side



0.1

 



0.15
0 0.05[GeV/c]



0.1

 


q

0.15
0 0.05q [GeV/c]
out

long



0.1



0.15

[GeV/c]R ?ACIHF6òC»Î ó#" BJ6'So9J?LUg68BJ=@? ; B%$ D $CBJ9'&)(HF@6:6'ST9H?LUg6:BH=@? ; B%$ D 7 ; F@F6 D $&? ; B*IHBH7+&? ; BH= ; * XOùXOù * ; F¡BH?BH6
7:68)B &,F $ D -? & d 7 D $C=@=68= ½ $C=9H6HBJ689§?B º $C¼ D 6GòC»Í ½ ¿"?.&)(/&0(J6214365755À ; I D; U~¼K7 ; FF@6:74&? ; B8 ;CE 68Bv7:?LF7 D 6 $CBJ9]¿"-? &0( ; 9I &+À ; I D; UG¼_7 ; F@F68+7 &? ; :B ; DD 6:<9 &F? $WBHA D 6  » º (H6 E F ; 4'6:47 &<? ; BJ= ; *=&0(H>6 &)(HF@6:6'So9J?LUg68BJ=@? ; %B $ D
7 ; F@F6 D $&? ; ?
B *IHBH+7 &? ; BH<= $CF@@
6 $ j 6:AF $CAC6:9 ;Tj 68BF &0(H6 D; ¿68;= & Ò Ô  46 C ?LD
B &0(J6 ; EF &0( ; A ; %B $ D 9H?F@68+7 &? ; BH=»FCä ´ äÝâcæ3áãßü ç áfýHGâcàcâcæIGâcæ3Ýâ

J

þCÍ

π+π +

λ

0.8
0.6

J

0.4

J

0.2

Rinv [fm]

J

J

0

K

6

π -π -

4

2

L

0

100

200

M

300

L

400 0

N part

100

200

M

300

400

N partR ?ACIHF6+òW»Lò óB" BH6nSo9H?Ug68BH=? ; B%$ D F,$C9H?IH= E $CFA$WUV6+&6:F@=N$W=O$P*IHBH74&<? ; B ; *9&)(H6OBZIJUG¼l68F ; * E $CF;&?78? E $CB)&=Ó Q ÓSR T  * ; F X Y X Y  D 6*U&  $CBH9 X ù X ù 1F?LA ()& @½ * ; F\^WVÁÔC» Ï Õ Ï »LÔV¾"64CXW7: ` \^qaMbÈÔÜ Ò Î>¾"64CDXC7  »Pº (H6"F@6:=@I D &<= $CF6 ; Y¼ &0$C?BH6893¿"-? &0(Z&)(H[6 143>575À ; I D; UG¼7 ; FF@68+7 &? ; B\$WBH9]Y& ; * m_^ » Ï » ×C×:» º (H6"68F@F ; F?=]E= &0$`&?E= &?7 $ Dq; B D%d »þÒÝÞPßàPáâcã WF ä ãâOå N üqáåßæPGaG ç åÝ N åHå çÙè æå

λ

b

0.6

b

π- π-

0.4

b

0.2

Rside [fm]

d

6
4

c

R out [fm]

d

2
6
4
2f

R long [fm]dfGraph

Graph

e

6
4

c

Rout /R sideπ + π+

2

1.4
1.2
1

b

b

0.8
0.6

0

100

200

300

N part

0

100

200

300

N partR ?ACIHF6~òW» ó | 68FE&<=@7 (øSTöcFA$&,&3FA$W9H?LIJ= E $CF,$CUg64&6:F@=g$W=P$:*IJBH74&<? ; B ; *&0(J6_BIHUG¼l68F ; * E $CF;&?78? E $CB)&=Ó Q ÓSR T  * ; F X Y X Y  D 6*U&  $CBH9 X ù X ù 1F?LA ()& @½ * ; F\^WVÁÔC» Ï Õ Ï »LÔV¾"64CXW7: ` \^qaMbÈÔÜ Ò Î>¾"64CDXC7  »P DLD ,F $C9H?>? $CF6 ; 9¼ &)$C?LBJ6893¿".? &)(&)(Hh6 1436575À ; I DL; U~¼7 ; F@F68+7 &? ; ?
B $CBH?
9 9& ; * _m ^ » Ï » ×:Î ½ $CBHD
9 &0(J668F@F ; F?=]E= &0$`&?E= &?7 $ Dq; B D%d »FCä ´ äiO'Ýâcæ3áãßü ç áfýHGâcàcâcæIGâcæ3ÝâþCÎ

«kj{]ÄZ BlÅ'ÄW­®'j¯Dj'j{mjh#n?oqp8r  iÅÅº (H6 |; =@6nS m ?BH=E&<68?B7 ; FF@6 D $&<? ; Bs*IJBH74&<? ; BJ=D* ; F X Y X Y $WBH9 X ù X ù $CF@6>Ug6$C=IHF@6:9s* ; F<&)(H6¨BH?BH6=IH¼,9J? j ?9H689§7:68)B &,F $ D -? & d 7 D $W=@=@6:=@» R ?LAW»"òW»LÎ>A= ( ; ¿"h= &0(J6 ; BH6nSo9H?Ug68BH=? ; %B $ D $WBHZ
9 &)(HF@6:6'So9J?LUg68BJ=@? ; %B $ D
7 ; F@F6 D $&? ; \B *IJBH47 &<? ; BJ= ; * X ù X ù * ; BF &0(H6~786:0B &<AF $ D -? &?68=@» m $C7 ( ; *&)(H6GBH?BH6 ; BH6'ST9H?LUg6:BH=@? ; %B $ D 7 ; FpSF6 D $&? ; t
B *IHBH47 &<? ; BHP= $WF@@
6 9&A&<689s¼ dk#m ^ » Ï » ×C×:» R ?AC»]òC»LòVA= ( ; ¿"B= &0(Ju6 9&,&6:9 ; BJ6'So9J?LUg68BJ=@? ; %B $ D÷|Mº
F,$C9H?IH= E $C,F $CUg46 &<68F@= w½ vhx-y4z $CBH9ª} x-y4zø½ $C[= $D*IHBH+7 &? ; B ; * PÓ Q ÓSR{T * ; F X Y X Y  D 6 *U&  $CBH9 X ù X ù 1F@?A ()&  »vhx-y4z ?BH7:F@6 $W=@682= *F ; U b Ï Õ
Í *|U & ; b"
ò *}U $C= <Ó Q ÓSR{T ?LBH7:F@6 $C=@6:<= *F ; }U $C¼ ; 9I &V× I& ; ÍCÎ Ï » " ~B &)(H6; &)(H68PF (%$CBH9 ½ } x-y4z ?= D 68===@68BJ=@-? &? j '6 & ; &)(H6_786:)B &AF $ D -? & d $CBJ9§7 ; BH;= &0$C)B &Z$&3b"ÔW»LÎ * ; PF $ DD 7:68)B &,F $ D -? & d
7 D $C==@6:=c¿"-? &0(H?Z
B &)(H6E= &)$&?E= &<?L7 $ D 68FF ; F=@»R ?AC»ªòC» s=,( ; ¿"<= &)(Hg6 &0(HF686'ST9H?UV6:BH=@? ; %B $ D+÷P|º ,F $C9H?? vM{ x%To½ vMe T #½ vM%S yT $WBH9 }  R -? & ; * _m ^ »Ï » ×:Î  ¿".? &)(&0(HI6 1436575HÀ ; I D; UG¼07 ; F@F6847 &<? ; B ½ $Cg= $*IJBH47 &<? ; B ; * <Ó Q ÓSR{T * ; F X Y X Y  D 6 *U&  $CBJ9 X ù X ù
Ó Q ÓSR{T ½ pF@?A ()&  »  DD; *6&)(H6 ÷|Mº ,F $C9H??,= ( ; ¿ ?BH7:F@6 $W=@6¿"-? &0( P¿ (H? D I6 &)(H6_7 (%$ ; &?78-? & dE $WAF $CUg46 &<68F= ½} ½ $CF6 D 68==P=68BH=.? &<? j <6 & ; &)(H6786:0B &<AF $ D -? & d 7 D $C=@=»º (H6k¼ ; &A& ; U ; * R ?LAC»®òC» ²=,( ; ¿"Z= &0(J6 vMe TÔ vM x%T ,F $&? ; $C]= $*IHBH+7 &? ; B ; * PÓ Q ÓSR{T ½ ¿ (H?L7 (?BH9H?F@6:47 & D%d 9J68B ; &<68I= &)(H6/786:)B &AF $ D -? & d 9H6 E 6:BH9H68BJ786 ; *N&0(J6y68Ug?L==@? ; B©9HIH,F $&? ; B ; * E ? ; BH=» Rl; ~F $ DD
Ug6 $W=@IHF689786:)B &AF $ D -? & d 7 D $C==@6:= ½ ( ; ¿6 j 68F ½ &)(H6¨,F $&? ; ?= D 68=@I= &)(%$CBIJBH.? & d $CBH97 ; BH;= &0$C)B &?$&yb"ÔW»Lþ¿"-? &0(H?
B &0(H668FF ; F=@»iO7«§i iqÄj Å'JÄZÅq #n\k=>'j{¯~j{'jmjº (H6 ÓPQ ÓSR T 9J68B ; &<68=u&)(H6v= ; IHF786 jH;CD IJUV6\$&/&)(H6K?BH?-&?$ D =;&0$CAW6 ; *7 ;CDD ?=@? ; BH= ½ ¿(J? D 6/&0(J6 ÷|Mº
F,$C9H?IH=G9H6:B ; &<68=I&0(J6¨= ; IHF@7:6 j ;CD IHUg6$&u&0(H6/HB%$ D =E&)$CAC6 ; *M7 ;CDD ?=@? ; BH=» º (H6/F6 D $&? ; B¼l64&e¿686:B&)( ; =@6 jH;CD IHUg68="?L= ; BH6 ; *c?)B &68F68;= &?BHAv7 (%$WAF $C+7 &68F?L=;&?78= ; *m&0(H6g= E $C786nS&?Ug6g6 j ;WD I9&<? ; B ; *O= ; IHF@7:68»º{; ?B j 68;= &?A $&I6 &)(H6 <Ó Q ÓSR{T 9H6 E 6:BH9H68BJ786 ; *6&)(H6 | 6:EF &<=@7 (øSTöO,F $&A&3AF $C9H?IH= E $CAF $CUg6+&68F= ½¡¹ Y&¿"?-&0($D ?LBJ6 $C2F *IHBH+7 &? ; t
B $C= óÔÜ Îú ÓPQ ÓSR T` ÜpòC» Ï 

÷ 68F@6 ½ rnÔW»LÎCtkUg6$CBJ=/$HBH?-&6 ÷|º FA$C9H?IH= ; ¼H=68F j 689 ?Bw6$CF D ?68FZ$CB%$ D%d =@68=>?LBªÕ 7 ;CDD ?=@? ; BH=
Ñ%ÎCþ ½ Î WÒ» ¹ 
B &0( ; =@6E= &<IH9H?68= ½ &)(H6UGI D &? EHD ?L7:?.& d 9H6 E 6:BH9H68BJ786 ; * ÷P|º F,$C9H?IH=2(%$C=]¼,6:68BUV6$C=@IJF@689ÝÞPßàPáâcã WF ä ãâOå N üqáåßæPGaG ç åÝ N åHå çÙè æåRside [fm]

þCò

6
4


Rout [fm]2PHENIX 200 GeV( π - π -)k T = 0.2 - 2.0 GeV/c<k T > ≈ 0.45 GeV/c

6
4

Rlong [fm]

2
6
4
2
0

100

200

300

400

N part %, òW»Lþ óP  &0¡,¢ (9£oö  $`&A&  $ ¤  ¡<¥%$  $¦  &  ¡#§  ¡  ¡&)(  ¢  ¼  ¢ ,¨¨ & ¨ *©&0( uª« ¦G¼ P¨ *¥%$  £&  ¢  ¥%$ ª &)¡2* ¨ ¬Où¬Où ¿  &0(&0(  1436575À ¨%­ ¨ ¦G¼t¢ ¨ ,A ¢+& ¨ ª E® ^ » Ï »Ú×:Î @½ * ¨ 2¯0° VËÔC» Ï Õ Ï »ÔV¾  CDX ¢¿  &0(²± ¯0°w³g´ ÔÜ¶µCÎ?·  CX ¢¸¹[( ,A¨ ' ¡'¡E&)$&  ¡E&  ¢$ ­B¨ ª%­-º ¸¹[(  ¡ ¨ ­ ¤¢ » §  ¡ ¨ § A­ $  ¤ ¨ª &)(  ­­ ¤:¢   ¢ ­ ¡¼¡,( ¨¾½ 9& ­ ª» ¡h¿ º ÔÜ Î¡úÀ Ó<Q¾Á R{T` ¸  &A&  ¤$ ª ¤ÃÂ§$ ­% ¡$ A<  § ª ª ¹O$ ¿ ­ ò ¸µ ¸Ýâcæ3áãßü ç áfýHGâcàcâcæIGâcæ3Ýâ
Rside [fm]FCä-ÄØä

6

þ

PHENIX 200 GeV
E866 4.9-5.4 GeV

4Rout [fm]2
6
4

Rlong [fm]

2
6
4
2
2

4

6

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