Abstract
The screening potential of a test quark entering in to the strongly coupled QGP is calculated using generalized hydrodynamic equations. This potential shows a minimum that resembles the Lennard-Jones (LJ) type potential. As a consequence of this new attractive potential, the formation of bound states of quarks and \(\hbox {J}/\uppsi \) dissociation are discussed. The binding energy of the bound states of quarks is calculated by solving Schrodinger’s equation using this potential.
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References
M.G. Mustafa, M.H. Thoma, P. Chakraborty, Screening of a moving parton in the quark-gluon plasma. Phys. Rev. C 71, 017901 (2005)
U. Heinz, The strongly coupled plasma created at RHIC. J. Phys. A 42, 214003 (2009)
M. Vishnu, Bannur quark gluon plasma as a strongly coupled color Coulombic plasma. Eur. Phys. J. C 11, 169 (1999)
Z. Donko, P. Hartmann, G.J. Kalman, Strongly Coupled Plasma liquids EPJ manuscripts (2007). arXiv:0710.5229.pdf
L.P. Pitaevskii, E.M. Lifshitz, Physical Kinetics (Pergamon, Newyork, 1981)
B.K. Patra, D.K. Srivastava, \(\text{ J }/\psi \) suppression gluonic dissociation vs colour screening. Phys. Lett. B 505, 113 (2001)
T. Matsui, H. Satz, \(\text{ J }/\psi \) suppression by quark gluon plasma formation. Phys. Lett. B 178, 416 (1986)
M. Gonin, (NA50 Collaboration) Anomalous \(\text{ J }/\psi \) suppression in Pb\(^{+}\) Pb Collisions at 158-A-GeV/c. Nucl. Phys. A 610, 404C (1996). https://doi.org/10.1016/S0375-9474(96)00373-9
J.-P. Blaizot, J.-Y. Ollitrault, J/ \(\Psi \) suppression in Pb–Pb collisions: a hint of Quark–gluon plasma production? Phys. Rev. Lett. 77, 1703 (1996)
M.H. Thoma, Complex plasmas as a model for the quark-gluon-plasma liquid. Nucl. Phys. A 774, 307 (2006)
P.K. Shukla, B. Eliasson, Novel attractive force between ions in quantum plasmas. Phys. Rev. Lett. 108, 1650070 (2012)
E. Braaten, R.D. Pisarski, Deducing hard thermal loops from ward identities. Nucl. Phys. B 337, 569 (1990). https://doi.org/10.1016/0550-3213(90)90351-D
N. Crouseilles, P.-A. Hervieux, G. Manfredi, Quantum hydrodynamic model for the nonlinear electron dynamics in thin metal films. Phys. Rev. B 78, 155412 (2008)
Frank D. (Tony) Smith, Jr. Bohm confirmed by non relativistic Quark model. Quant-ph Ts-TH-98-1 (1998). arXiv:quant-ph/9806023
M.H. Thoma, The quark gluon plasma liquid. J. Phys. G Nucl. Part. Phys. 31, 539 (2005)
S. Ramadas, V.M. Bannur, SCQGP in compact stars. Eur. Phys. J. C 72, 1975 (2012)
A. Isihara, E.W. Montroll, A note on the ground state energy of an assembly of interacting electrons. Proc. Natl. Acad. Sci. USA 68(12), 3111 (1971)
P.B. Demorest, Nature 467, 1081 (2010). https://doi.org/10.1038/nature09466
M. Abu Shady, Binding energies and dissociation temperatures of heavy quarkonia at finite temperature and chemical potential in th N-dimensional space. Adv. High Energy Phys. (2018) 2018 [arXiv:1708.03865 [hep-ph]]
R. Car, M. Parrinello, Unified approach for molecular dynamics and density-functional theory. Phys. Rev. Lett. 55, 2471 (1985). https://doi.org/10.1103/PhysRevLett.55.2471
F. Karsch, M.T. Mehr, H. Satz, Color screening and deconfinement for bound states of heavy quarks. Z. Phys. C 37, 617 (1988)
H. Satz, Quarkonium binding and dissociation: the spectral analysis of the QGP. Nucl. Phys. A 783, 249c (2007)
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Rethika, K.T., Bannur, V.M. Screening of a Test Quark in the Strongly Coupled Quark Gluon Plasma. Few-Body Syst 60, 38 (2019). https://doi.org/10.1007/s00601-019-1503-2
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DOI: https://doi.org/10.1007/s00601-019-1503-2