Abstract
The N-dimensional radial Schrödinger equation has been solved using the Analytical Exact Iteration Method in which the two body potential in SCQGP is used. The energy eigen values have been calculated in the N-dimensional space for any state (n, l). The results have been applied to understand the quarkonium properties. The variations in binding energy and mass spectra with temperature have been studied in the N-dimensional space. The dissociation temperatures for different states of quarkonia are calculated in the N-dimensional space. The influence of dimensionality number on the dissociation temperatures has been discussed.
Similar content being viewed by others
References
E.V. Shuryak, Quantum chromodynamics and the theory of super dense matter. Phys. Rept. 61, 71–158 (1980). https://doi.org/10.1016/0370-1573(80)90105-2
H. Satz, The transition from hadron matter to Quark-Gluon plasma. Ann. Rev. Nucl. Part. Sci. 35, 245 (1985) https://www.annualreviews.org/doi/pdf/10.1146/annurev.ns.35.120185.001333
Vishnu M. Bannur, Quark Gluon Plasma as a strongly coupled color Coulombic plasma, Eur. Phys. J. C11, 169 (1999) arXiv:hep-ph/9811397
H. Satz, Colour Deconfinement and Quarkonium Binding, J. Phys. G: Nucl. Part. Phys. 32, 25 (2006) arXiv:hep-ph/015517
M. Strickland, D. Bazow, Thermal Bottomonium Suppression at RHIC and LHC, Nuclear Physics A 879, 25-58 (2012) arXiv:1112.2761
H. Satz, Quarkonium binding and dissociation: The spectral analysis of the QGP, Nucl. Phys. A 783, 249c(2007) arXiv:hep-ph/0609197v1
Á. Mócsy, P. Petreczky, Color Screening Melts Quarkonium, Phys. Rev. Lett. 99, 211602 (2007) https://arxiv.org/pdf/0706.2183.pdf
T. Matsui, H. Satz, J/\(\psi \) Suppression by Quark Gluon Plasma formation, Phys. Lett. B 178, 416 (1986) https://cds.cern.ch/record/169304/files/BNL-38344.pdf?subformat=pdfa&version=1
K.T. Rethika, V.M. Bannur, 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
F. Karsch, M. T. Mehr, H. Satz, Color screening and deconfinement for bound states of heavy quarks, Z. Phys. C37, 617 (1988) https://pub.uni-bielefeld.de/download/1784493/2314457/ka_46.pdf
S. Digal, D. Petreczky, H. Satz, String Breaking and Quarkonium Dissociation at Finite Temperatures Phys. Lett. B514, 57 (2001) arXiv:hep-ph/0105234
S. Digal, D. Petreczky, H. Satz, Quarkonium feed-down and sequential suppression, Phys. Rev. D64, 094015 (2001) arXiv:hep-ph/0106017
M. Abu-Shady, T. A. Abdel-Karim, E. M. Khokha, Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-Dimensional Space, Advances in High Energy Physics Volume 2018 |Article ID 7356843 (2018) http://downloads.hindawi.com/journals/ahep/2018/7356843.pdf
W. M. Alberico, A. Beraudo, A. De Pace, A. Molinari, Quarkonia in the deconfined phase: effective potentials and lattice correlators, Phys. Rev. D 75, 074009 (2007) arXiv:hep-ph/0612062
V. Agotiya, Vinod Chandra, B. K. Patra, Dissociation of quarkonium in a hot QCD medium: Modification of the interquark potential, Phys. Rev. C 80, 025210 (2009) https://arxiv.org/pdf/0808.2699.pdf
L. Thakur, B. K. Patra, Quarkonium dissociation in an anisotropic QGP, J. Phys.: Conf. Ser. 668 012085 (2016) https://iopscience.iop.org/article/10.1088/1742-6596/668/1/012085/pdf
V. Kumar, Vinod Chandra, Dissociation of heavy quarkonium in hot QCD medium in a quasiparticle model, Phys. Rev. D 94, 094006 (2016) https://arxiv.org/abs/1610.03170
U. Kakade, B. K. Patra, Quarkonium Dissociation at Finite Chemical Potential, Phys. Rev. C 92, 024901 (2015) https://arxiv.org/abs/1503.08149
C.Y. Wong, Dissociation of a heavy quarkonium at high temperatures. Phys. Rev. C 65, 034902 (2002) https://arxiv.org/pdf/nucl-th/0110004.pdf
C.Y. Wong, Dissociation of heavy quarkonia in the quark-gluon plasma. J. Phys. G 28, 2349 (2002) https://arxiv.org/pdf/nucl-th/0112064.pdf
C.Y. Wong, Heavy quarkonia in quark-gluon plasma. Phys. Rev. C 72, 034906 (2005) https://arxiv.org/pdf/hep-ph/0408020.pdf
S. Datta, F. Karsch, P. Petreczy, I. Wetzorke, Behavior of charmonium systems after deconfinement. Phys. Rev. D 69, 094507 (2004) https://arxiv.org/pdf/hep-lat/0312037.pdf
M. Asakawa, T. Hatsuda, Y. Nakahara, Hadronic spectral functions above the QCD phase transition. Nucl. Phys. A 715, 863 (2003) https://arxiv.org/pdf/hep-lat/0208059.pdf
M. Asakawa, T. Hatsuda, \(\text{J}/\psi \) and \({\eta }_{{\rm c}} \) in the Deconfined Plasma from Lattice QCD. Phys. Rev. Lett. 92, 012001 (2004) https://arxiv.org/pdf/hep-lat/0308034.pdf
R. Kumar, F. Chand, Energy spectra of the Coulomb perturbed potential in N-dimensional Hilbert space*. Chin. Phys. Lett. 29, 060306 (2012). https://doi.org/10.1088/0256-307X/29/6/060306
Vishnu M. Bannur “Strongly Coupled Quark Gluon Plasma” J. Phys. G: Nucl. Part. Phys. 32 (2006) 993 https://arxiv.org/pdf/hep-ph/0504072.pdf
R. Kumar, F. Chand, Asymptotic study to the N-dimensional radial Schrödinger equation for the quark-antiquark system. Common. Theor. Phys. 59, 528 (2013). https://doi.org/10.1088/0253-6102/59/5/02
D. Kharzeev, L. McLerran, H. Satz, Non Perturbative Quarkonium Dissociation in Hadronic Matter. Phys. Lett. B 356, 349 (1995) https://arxiv.org/pdf/hep-ph/9504338.pdf
H. Satz, Charm and Beauty in a Hot Environment, BI-TP 2006/06 (2006) https://arxiv.org/pdf/hep-ph/0602245.pdf
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Rethika, K.T., Ravikumar, C.D. & Bannur, V.M. Heavy Quarkonium Properties at Finite Temperature in Strongly Coupled Quark Gluon Plasma. Few-Body Syst 62, 10 (2021). https://doi.org/10.1007/s00601-021-01592-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00601-021-01592-6