Temperature-dependent cross sections for charmonium dissociation in collisions with pions and rhos in hadronic matter. Xiao-Ming Xu Collaborator: Jie Zhou. phenomena: (a) J/ suppression in a heavy ion collision; (b) J/ enhancement in some momentum region.
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Temperature-dependent cross sectionsfor charmonium dissociation in collisions with pions and rhos in hadronic matter
Collaborator: Jie Zhou
Dissociation mechanisms (color screening, charmonium dissociation in collisions with gluons, charmonium dissociation in collisions with hadrons), recombination mechanism and nuclear parton shadowing build various models to explain the phenomena.
Color screening (T. Matsui, H. Satz, Phys. Lett. B178 (1986) 416)
Dissociated by a gluon (M.E. Peskin, Nucl. Phys. B156 (1979) 365;
G. Bhanot, M.E. Peskin, Nucl. Phys. B156 (1979) 391;
D. Kharzeev, H. Satz, Phys. Lett. B334 (1994) 155)
Dissociated by a hadron (J. Ftacnik et al., Phys. Lett. B207 (1988) 194;
S. Gavin et al., Phys. Lett. B207 (1988) 257;
R. Vogt et al., Phys. Lett. B207 (1988) 263;
C. Gerschel et al., Phys. Lett. B207 (1988) 253)
J/ + hadron charmed mesons (charmed baryons)
X.-M. Xu, Nucl. Phys. A658 (1999) 165;
P. Braun-Munzinger, J. Stachel, Phys. Lett. B490 (2000) 196;
R.L. Thews, M. Schroedter, J. Rafelski, Phys. Rev. C63 (2001) 054905
quark model calculations:
K. Martins et al., Phys. Rev. C51 (1995) 2723
C.-Y. Wong et al., Phys. Rev. C65 (2001) 014903
T. Barnes et al., Phys. Rev. C68 (2003) 014903
X.-M. Xu et al., Nucl. Phys. A713 (2003) 470
meson exchange model calculations:
S.G. Matinyan, B. Muller, Phys. Rev. C58 (1998) 2994
K .Haglin, Phys. Rev. C61 (2000) 031902
Z. Lin, C.M. Ko, Phys. Rev. C62 (2000) 034903
For J/ + hadron charmed mesons (charmed baryons),early works assumed that hadron-charmonium dissociation cross sections are constants; quark model calculations or meson exchange model calculations have obtained the dissociation cross sections that depend on the center-of-mass energy of J/ and hadron.
What is the temperature dependence of hadron-charmonium dissociation cross sections?
Experimental data of S-wave I=2 elastic phase shifts for scattering in vacuum for
unpolarized cross section
transition amplitude in the post form
Linear confinement and the potential arising from one gluon exchange plus perturbative one- and two-loop corrections
W. Buchmuller, S.-H.H. Tye, Phys. Rev. D24 (1981) 132
Lattice QCD calculations give temperature-dependent quark-quark potential.
Medium screening leads to weak binding of quarks.
When temperature increases, the confinement potential gets weak and the bound state gets loose.
critical temperature Tc=0.175 GeV.
Y.-P. Zhang, X.-M. Xu, H.-J. Ge, Nucl. Phys. A 832 (2010) 112
arising from one gluon exchange plus perturbative one- and two-loop corrections by means of Foldy-Wouthuysen canonical transformation.
mass splittings experimental values
m-m=0.6294 GeV 0.6304 GeV
mK*-mK=0.39865 GeV 0.3963 GeV
mJ/=3.13509 GeV 3.096916 GeV
m´=3.69248 GeV 3.68609 GeV
mc=3.50578 GeV 3.5253 GeV
mD=1.90578 GeV 1.86722 GeV
mD*=2.05274 GeV 2.00861 GeV
Calculate the transition amplitudes, and ,
with the Fourier transform of thepotential Vsi+Vss to obtain unpolarized cross sections for 15 reactions
For endothermic reactions
For exothermic reactions
We have offered
(1) a temperature-dependent quark potential;
(2) temperature-dependent meson masses;
(3) temperature-dependent cross sections for -charmonium and -charmonium dissociation reactions.