flow workshop, BNL ShinIchi Esumi, Tsukuba 1

Charged particle v2 and azimuthal pair correlation with respect to the reaction plane at PHENIX

ShinIchi Esumi for the PHENIX collaboration Univ. of Tsukuba

v2 from r.p. and pair correlationpair correlation with r.p.my toy simulationidentified particle v2summary

flow workshop, BNL ShinIchi Esumi, Tsukuba 2

r.p.

Reaction plane

parton

parton

hadrons

p+p collisionA+A collision

r.p. for a geometrical originsuffer r.p. resolution (smeared shape)dN/d(-) = N (1 + 2vn

’cos(n(-)))

no smearing (detailed shape analysis)event anisotropy shape (no relation to r.p.)Nreal ()/Nmixed() = N (1 + 2vn

2cos(n()))

flow workshop, BNL ShinIchi Esumi, Tsukuba 3

track- true -> v2track- measured -> v2*resolutiontrack1 - track2 -> v2*v2

reduced correlation because of v2*v2, but smaller error bar because of a large pair combination

simulationclose to pure 1+cos func.fine structure in d distri.

flow workshop, BNL ShinIchi Esumi, Tsukuba 4

inside a jet (d)

flow + flow&jets + cross jets(a) (b) (c)

flow+jets

track1 - track2

Parameters nf : flow particles nj : # of jet axis with v2ja

np : # of particle per jet v2f : v2 of nf

v2j : v2 of njnp

Harmonic part : 1+2p*cos(d) (a) p=v2fv2f : nf(nf-1) (b) p=v2fv2j : nfnjnp

(c) p=v2jv2j : nj(nj-1)np2

Jet shape : near+far side gauss (d) F(d) : njnp(np-1)

Jet part (c)+(d) : njnp(njnp-1)

(c)

(d)

v2j=0 v2j>0 v2ja=1　

0 d

(c)

(d)

(c)

(d)

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Models (hydro/recombination + jets/fragmentation)

hydro+jets recomb.+fragm.

hydro:v2hydro

jets:v2jets

sum

my toy model

pT (GeV/c)dn

/dp T

(arb

. uni

t)

(1) v2 of soft hadrons(2) amount of Jets(3) v2 of jets (energy loss+ almond shape)

flow workshop, BNL ShinIchi Esumi, Tsukuba 6

v2hydro

v2jets

v2sum

v2sum

v2pair

back-to-backjets like effect

like (90deg)decay effect

simulation

r.p. based

data

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simulation

v2hydro

v2jets

V2jets=0

V2jets=0

reducedjets yield

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simulation

v2hydro+v2

jets

reaction planebased analysis

pair wisecorrelationanalysis

No (90deg)like decay effect

No (90deg)like decay effect +reduced v2

flow workshop, BNL ShinIchi Esumi, Tsukuba 9

leading parton

hadrons

Q: Are jets source of v2?Q: Does reaction zone make flowing jets?

track1 - track2|

r.p.

in-plane pair

out-of-plane pair

in between

trigger particlein the selected angular window

hydro:v2hydro

jets:v2jets

sum

pT (GeV/c)

dn/d

p T (a

rb. u

nit)

flow workshop, BNL ShinIchi Esumi, Tsukuba 10

sim

ula

tion

0<pT<1GeV/c 1<pT<2GeV/c 2<pT<5GeV/c

track1 - track2

hadron-hadron correlation (pT(trig)>3GeV/c)

hydro flow, flowing jets, like decay are included in the simulation as same as in the previous slide

data

PHENIX preliminary PHENIX preliminary

PHENIX preliminary

flow workshop, BNL ShinIchi Esumi, Tsukuba 11

No flowing jets

No flowing jets,reduced jets yield

pT(trig)>3GeV/c 0<pT1<1GeV/c 1<pT1<2GeV/c 2<pT1<5GeV/c

original simulation,hydro flow, flowing jets

200GeV Au+Au data

flow workshop, BNL ShinIchi Esumi, Tsukuba 12

PHENIX preliminary

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PHENIX preliminary

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High pT

initial v2=0 energy loss fragmentation

Low pT

(1) (2) (3)

(4)

(1)-(2) hydro press.

(5) (6)

recombination/hadronize/freeze-out

time

time

v2(high pT)

(1)

(2)

(3)

time

v2(low pT)

(4)

(5)(6)

chemical f.o.

thermal f.o.

phase transition

phase transition

flow workshop, BNL ShinIchi Esumi, Tsukuba 15

v2(p

T)

pT

2~3GeV/c

final state after f.o.

initial state just after p.t.

Yield,slope,v2 measurements on

(1),k,p,d,,(2),(3)open charm, J(4) direct

flow workshop, BNL ShinIchi Esumi, Tsukuba 16

quark flow plus hadron flow

minimum bias Au+Auat sNN = 200 GeV

PHENIX preliminaryPHENIX preliminary

flow workshop, BNL ShinIchi Esumi, Tsukuba 17

v2(proton)

v2(pion)

v2(e)

v2 pion & v2 proton :

nucl-ex/0305013 (PHENIX)

pt[GeV/c]

v2

(M.B)

conversion

0 ee

ee, 30

ee, 0ee

ee, ee

ee

’ ee

electron v2 to measurecharm quark v2

flow workshop, BNL ShinIchi Esumi, Tsukuba 18

phenix preliminary

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extraction of direct photon v2?!

phenix preliminary

phenix preliminary

direct / inclusive

flow workshop, BNL ShinIchi Esumi, Tsukuba 20

Summary

non-flow is not always additivejets seem to have v2 (not new)jet shape/yield w.r.t. reaction planedifferent identified particles v2