Upload
taite
View
31
Download
0
Embed Size (px)
DESCRIPTION
Direct photons at CBM. Sergey Kiselev, ITEP γ direct in Hadron String Dynamics (HSD) code γ direct in Bjorken HydroDynamics (BHD) HSD and BHD predictions for CBM energy Conclusions and next steps. I. HSD reminder : ππ ργ , πρ πγ. - PowerPoint PPT Presentation
Citation preview
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP 1
Direct photons at CBMSergey Kiselev, ITEP
γdirect in Hadron String Dynamics (HSD) code
γdirect in Bjorken HydroDynamics (BHD) HSD and BHD predictions for CBM energy Conclusions and next steps
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
2
I. HSD reminder : ππ ργ, πρ πγ Agreement with the HSD team to implement c.s. for πρ πγ, ππ ργKapusta et.al. (Phys.Rev.D44 (1991) 2774) :
ITEP team: FORTRAN subroutines with cross sections for the HSD codeElena Bratkovskaya: implementation of the cross sections into the HSD code
σππ ~ 10σπρ
at √s =1 GeV
Divergence σcut = 1 mb
News, thanks to Elena: 1. weighted averaging of c.s. with the ρ spectral function overcomes divergence 2. some bugs were fixed
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
3
HSD reminder: ω π0 γ
~ 20% of γω are from ρ/ρ0>1 region and can be hardly reconstructed as from ω π0 γ direct photons
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
4
HSD: in-medium effect
channel πρ πγ π π ργ ω(ρ/ρ0>1)
dNγ/dy(yc.m.=0) 0.37/1.05 0.27/0.36 0.14/1.20 !!!
without IME with IME
In-medium effect (IME): dropping mass + broadening
m = m0 (1 + ρ/ρ0) ω = - 120 MeV, ρ = - 150 MeV
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
5
HSD: in-medium effect – WA98 data
Not enough to describe the data take into account of a1 meson
without IME with IME
main input: πρ πγ main input: ω(ρ/ρ0>1)
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
6
reminder: emission rates with a1 meson
C.Song, PR C47, 2861 (1993). Emission rates are increased with the inclusion of a1
T=150: ~ 1 GeV, factor 3(γπρ) - 5 (γππ)
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
7
II. (1+1) Bjorken hydrodynamics (BHD)
Proper time and rapidity y Phys.Rev., D27 (1983) 140
There is no dependence onLorenz boost variable y:
Landau hydrodynamical model, viscosity and conductivity are neglected
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
8
Photon spectrumPhoton spectrum: convolution of the photon production rates with the space–time evolution of the collision
For a longitudinally expanding cylinder
For proper time and rapidity y`
For an ideal hadron gas
Main parameters: initial 0 , T0 and Tf (at freeze-out)
Connection with the local rest frame
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
9
γ production rates Thermal rates from QGP:
Perturbative QCD, the lowest order in s
qq gγ, qg qγdN/d4xd3p s ln(0.23E/sT) exp(-E/T) T2/E,
ZP C53, 433bremsstrahlung
dN/d4xd3p s exp(-E/T) T2/E, PL B510, 98 Thermal rates from hot hadron gas (HHG):
effective theory for hadron interactionsπρ πγ, ππ ργ, ρ ππγ, ω πγdN/d4xd3p ~ T2.15 exp(-E/T) / exp((1.35 ET)0.77), PL B510, 98
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
10
Hot hadron gas (HHG) scenario C.Song and G.Fai,
Phys.Rev., C58 (1998) 1689.
parameterizations for the processes ππ →ργ , πρ → πγ, and ρ →ππγ , in which the a1 meson is taken into account properly
One can fit WA98 direct photon data by HHG scenario only
Can one go further to the CBM energy?
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
11
III. HSD and BHD for CBM energy
channel πρ πγ π π ργ ω(ρ/ρ0>1)
dNγ/dy(yc.m.=0) 0.11/0.39 0.10/0.21 0.11/0.89 !!!
without IME with IME
at high pt ω(ρ/ρ0>1) dominates both without and with IME
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
12
HSD and BHD for CBM energy –cont.
HSD: steeper slope, main contribution from ω (ρ/ρ0 >1)
HSD BHD
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
13
HSD and BHD for CBM energy – cont.
at pt > 1 GeV/c γdirect /γπ0 ~ ( > ) 2% both for HSD/IME and BHDdynamics HSD BHD
IME + -
a1 meson - +
28.09.2007 10th CBM collaboration meeting, Dresden S.Kiselev ITEP
14
Conclusions and next steps
HSD: γdirect depends strongly on in-medium mass effect
For hadron scenario at CBM one can hope γdirect /γπ0 ~ > 2% at pt ~ > 1 GeV/c
next steps: Check the in-medium effect in HSD to implement c.s. for πρ πγ, ππ ργ with the
inclusion of a1 meson