Heavy quarkonia in a bulk viscous medium
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Springer
Received: April 13, 2020 Accepted: May 22, 2020 Published: June 9, 2020
Heavy quarkonia in a bulk viscous medium
a
Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 37673, Republic of Korea b School of Physical Sciences, National Institute of Science Education and Research, HBNI, Jatni 752050, India c Department of Physics, POSTECH, Pohang, Gyeongbuk 37673, Republic of Korea
E-mail: [email protected], [email protected], [email protected] Abstract: We study the properties of heavy quarkonia in a quark gluon plasma in the presence of bulk viscous effects. Within the hard thermal loop approximation at one-loop, the dielectric permittivity of a quark gluon plasma is computed, where the bulk viscous effect enters through the deformation of the distribution functions of thermal quarks and gluons. Based on the modified dielectric permittivity, we compute the in-medium heavy quark potential, that includes non-pertubative string-like terms as well as the perturbative Coulombic term. We discuss how the bulk viscous effect modify the real and imaginary parts of the in-medium potential. Several prescriptions are examined as to how to include the string-like non-perturbative potentials. Using the deformed potential, we compute the wave functions, binding energies, and decay widths of heavy quarkonia in a bulk viscous medium, and study their sensitivity to the strength of the bulk viscous effect. An estimate of the melting temperatures is given. Keywords: Perturbative QCD, Quark-Gluon Plasma, Resummation ArXiv ePrint: 2004.03426
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP06(2020)071
JHEP06(2020)071
Lata Thakur,a Najmul Haqueb and Yuji Hironoa,c
Contents 1
2 Color dielectric permittivity of a bulk viscous medium 2.1 Computation of the dielectric permittivity 2.1.1 Retarded propagator 2.1.2 Symmetric propagator 2.1.3 Dielectric permittivity 2.2 Two Debye masses and a modified fluctuation-dissipation theorem
2 3 3 5 7 7
3 In-medium potentials in the presence of bulk viscous corrections 3.1 Approach based on the linear response 3.2 Introduction of non-perturbative propagator 3.3 Approach based on a generalized Gauss law 3.4 Comparison of the real part of the potentials
8 9 11 14 14
4 Heavy quarkonia in the presence of bulk viscous corrections 4.1 Computational setup 4.2 Wave function 4.3 Binding energies and decay widths 4.3.1 Dependence on the scale Λ 4.3.2 Effect of bulk viscous corrections
15 15 17 18 18 19
5 Summary and discussions
22
1
Introduction
The relativistic heavy-ion collisions provide us with a unique opportunity to experimentally study the strongly interacting matter in extreme conditions. The currently ongoing experimental programs at the Relativistic Heavy Ion Collider (RHIC) at BNL and the Large Hadron Collider (LHC) at CERN aim at revealing the properties of the quark gluon plasma (QGP), which is expected to appear at high temperatures. At sufficiently high temperatures, a QGP behaves as a weakly interacting gas of quarks
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