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The N-dimensional radial Schrodinger equation has been solved using the Nikiforov Uvarov (NU) method, in which we used the medium modified form of Cornell potential and quasi-particle Debye mass with strong magnetic field background. The binding energies and the mass spectra of heavy quarkonium have been studied in the N-dimensional space for different values of magnetic field, the binding energy decreases with increasing magnetic field, which shows early dissociation of heavy quarkonium system. The influence of dimensionality number has also been discussed on binding energies of J/{\psi} and {\Upsilon} for fixed value of magnetic field. It is found that with an increase in dimensionality, the binding energy starts decreasing from a higher initial value. The results obtained are quite consistent with recent studies.

The analytical exact iteration method (AEIM) have been used widely to calculate N-dimensional radial Schrodinger equation with medium modified form of Cornell potential and is generalized to the finite value of magnetic field (eB) with quasi-particle approach in hot quantum chromodynamics (QCD) medium. In N-dimensional space the energy eigen values have been calculated for any states (n,l). These results have been used to study the properties of quarkonium states (i.e, the binding energy and mass spectra, dissociation temperature and thermodynamical properties in the N-dimensional space). We have determined the binding energy of the ground states of quarkonium with magnetic field and dimensionality number. We have also determined the effects of magnetic field and dimensionality number on mass spectra for ground states of quarkonia. But main result is quite noticeable for the values of dissociation temperature in terms of magnetic field and dimensionality number for ground states of quarkonia after using the criteria of dissociation energy. At last, we have also calculated the thermodynamical properties of QGP (i.e., pressure, energy density and speed of sound) using the parameter eB with ideal equation of states (EoS)., Comment: 14 pages, 11 figures

We extended the recent work Phys. Rev. D 97(9), 094033 (2018) to investigate quarkonium dissociation in presence of baryonic chemical potential (mu_b) and anisotropy ({\xi}) using quasi-particle approach in hot quantum chromodynamics (QCD) medium. We have determined binding energy and thermal width of S-states of charmonia and bottomonia for n=1 and n=2 (radial quantum number) with anisotropic parameter ({\xi}) and baryonic chemical potential. We have also determined the effects of baryonic chemical potential and anisotropy on mass spectra of 1S-states of quarkonia and the results obtained were consistent with theoretical and experimental works. But the key result obtained was dissociation temperature of the S-states with the effect of {mu_b} and {\xi}. At last, we have calculated the thermodynamical properties of QGP (i.e., pressure, energy density and speed of sound) using the parameter {\xi} and {mu_b}, which is the main key to study suppression of the quarkonium with latest determined value of energy density psNN after incorporating the effect of {\xi} and (mu_b)., Comment: 23 pages, 15 figures

In this article, we employed the Quasi-particle debye mass at finite baryonic chemical potential which can be used in the medium modified heavy quark potential to solve the N-dimensional Schroedinger equation. The bound state solution of the Schroedinger equation using Cornell potential is obtained by Super-Symmetry Quantum Mechanics (SUSYQM) method. The thermodynamical properties of quark matter is calculated by using baryonic chemical potential (mu). We found that the binding energy of quarkonia dissociates more with quasi-particle debye mass in comparison to non-perturbative and leading order debye mass. The medium modified form of potential (real part) has been used to study the thermodynamical properties of quark matter with different equation of states (EoS) (i.e., pressure, energy density and speed of sound) with {mu}. The mass spectra of quarkonia has been also calculated in the N-dimensional space, and compared with the experimental data at N=3. We have also calculated the dissociation temperature (T_D) for the ground states of quarkonium using the dissociation criteria of thermal width., Comment: 20 pages, 9 figures

In this paper, spectra of the quarkonium states has been studied using the conditions temperature, chemical potential and the magnetic field. Here our main focus is to study the effect of strong magnetic field on the quarkonium properties. The binding energies and the dissociation temperature for the ground and the first excited states of the charmonium and bottomonium in the presence of strong magnetic field at chemical potential \mu = 500 MeV has been studied. Here we use quasiparticle (QP) Debye mass depending upon temperature, magnetic field and chemical potential obtained from the quasiparticle approach. The Debye mass strongly increases at different values of temperature and magnetic field. The binding energy decreases with increase in the temperature at different magnetic field eB= 0.3, 0.5, and 0.7 GeV2 and also decreases with magnetic field at different at T=200,300 and 400 MeV for the J/\psi, \psi, \upsilon, and \upsilon prime states of the quarkonia. The dissociation temperature of the quarkonium states falls with the increasing values of the magnetic field at critical temperature Tc =197 MeV, Comment: 7papes,12figures

We studied the effect of momentum space anisotropy on heavy quarkonium states using an extended magnetized effective fugacity quasiparticle model (EQPM). Both the real and imaginary part of the potential has been modified through the dielectric function by including the anisotropic parameter $\xi$. The real part of the medium modified potential becomes more attractive in the presence of the anisotropy and constant magnetic field. The binding energy of the 1S, 2S, and 1P quarkonium states including anisotropy effects for both the oblate and the isotropic case were studied. We find that the binding energy of quarkonium states becomes stronger in the presence of anisotropy. However, the magnetic field is found to reduce the binding energy. The thermal width of the charmonium and bottomonium 1S states have been studied at constant magnetic field eB = 0.3 GeV2 for isotropic and prolate cases. The effect of magnetic field on the mass spectra of the 1P state for the oblate case was also examined. The dissociation temperature for the 1S, 2S, and 1P charmonium and bottomonium have been determined to be higher for the oblate case with respect to the isotropic case, Comment: 16 pages,9 figures

In this work, we have studied the dissociation behavior of 1S and 2S states of quarkonium using quasi-particle approach where the Debye mass depends on baryonic chemical potential. The binding energies of the quarkonium states has been obtained by using quasi-particle Debye mass which further depends on temperature and baryonic chemical potential ({mu}_b). The effect of {mu}_b on the binding energies and the dissociation temperature have been also studied. The binding energy and dissociation temperature of heavy quarkonia decreases as {mu}_b increases. The effect of {mu}_b on the mass spectra of quarkonium states has been studied well., Comment: 11 pages, 10 figures. arXiv admin note: text overlap with arXiv:2209.07132

In the present work we have studied the Differential Scattering Cross-section for ground states of charmonium and bottomonium in the frame work of the medium modified form of quark-antiquark potential and Born-approximation using the non-relativistic quantum chromo-dynamics approach. To reach this end, quasi-particle (QP) Debye mass depending upon baryonic chemical potential ($\mu$b) and temperature has been employed and hence the variation of Differential Scattering Cross-section with baryonic chemical potential and temperature at fixed value of the scattering angle ($\theta=90^\circ$) has been studied. The variation of Differential Scattering Cross-section with scattering angle $\theta$ (in degree) at fixed temperature and baryonic chemical potential has also been studied. We have also studied the effect of impact parameter and transverse momentum on differential scattering cross-section at $\theta=90^\circ$., Comment: 13 pages, 8 figures (Accepted in advances in High Energy Physics Journal)

We studied the properties of the heavy quarkonia in the presence of finite quark-chemical potential for different number of flavors by using the quasi particle approach. The effect of the finite quark-chemical potential has been incorporated through the quasi-particle Debye mass to examine the binding energies of the quarkonium states. From the imaginary part of the potential we have calculated the thermal width of the ground state of the quarkonia and found that the thermal width increases with finite quark-chemical potential. The dissociation temperature (T_D) of the J/psi and Upsilon have been calculated in the presence of finite quark-chemical potential for different flavors (i.e., N_f = 1, 2 and 3). The effect of the finite quark-chemical potential on the mass spectra of the quarkonium states has been also studied., Comment: 14 pages, 10 figures

The analytical exact iteration method (AEIM) have been used to calculate the N-dimensional radial schrodinger equation with the real part of complex-valued potential and it is generalized to the finite value of anisotropy ({\xi}), temperature and baryonic chemical potential. In N-dimensional space the energy eigen values have been calculated for any states (n,l). The present results have been used to study the properties of quarkonium states (i.e, the binding energy and mass spectra in the N-dimensional space). The influences of anisotropy ({\xi}) on the dissociation temperature(TD) has been also calculated for the ground state of quarkonia at N=0 and \mu = 300MeV . The anisotropy in oblate case, thus obtained, makes the dissociation temperature(TD) lower as compared to the isotropic case . We also seen that Leading order Debye mass is greater than that of Quasi-particle Debye mass after introducing the baryonic chemical potential., Comment: 11 pages, 7 figures

The present article is the follow-up of our work Bottomonium suppression in quasi-particle model, where we have extended the study for charmonium states using quasi-particle model in terms of quasi-gluons and quasi quarks/antiquarks as a equation of state. By employing medium modification to a heavy quark potential thermodynamic observables {\em viz.} pressure, energy density, speed of sound etc. have been calculated which nicely fit with the lattice equation of state for gluon, massless and as well {\em massive} flavored plasma. For obtaining the thermodynamic observables we employed the debye mass in the quasi particle picture. We extended the quasi-particle model to calculate charmonium suppression in an expanding, dissipative strongly interacting QGP medium (SIQGP). We obtained the suppression pattern for charmonium states with respect to the number of participants at mid-rapidity and compared it with the experimental data (CMS JHEP) and (CMS PAS) at LHC energy (Pb+Pb collisions, $\sqrt{s_{NN}}$= $2.76$ TeV)., Comment: 13 pages,14 figures. arXiv admin note: substantial text overlap with arXiv:1102.1306, arXiv:1804.08347

The present article is the follow up work of, Phys.\ Rev.\ D {\bf 94}, 094006 (2016), where we have extended the study of quarkonia dissociation in (momentum) anisotropic hot QCD medium. As evident by the experimentally observed collective flow at RHIC and LHC, the momentum anisotropy is present at almost all the stages after the collision and therefore, it is important to include its effects in the analysis. Employing the in-medium (corrected) potential while considering the anisotropy (both oblate and prolate cases) in the medium, the thermal widths and the binding energies of the heavy quarkonia states (s-wave charmonia and s-wave bottomonia specifically, for radial quantum numbers n = 1 and 2) have been determined. The hot QCD medium effects have been included employing a quasi-particle description. The presence of anisotropy has modified the potential and then the thermal widths and the binding energies of these states in a significant manner. The results show a quite visible shift in the values of dissociation temperatures as compared to the isotropic case. Further, the hot QCD medium interaction effects suppress the dissociation temperature as compared to the case where we consider the medium as a non-interacting ultra-relativistic gas of quarks (anti-quarks) and gluons., Comment: This version is accepted in Physical Review D

In the present article, we have studied the equation of state and dissociation temperature of bottomonium state by correcting the full Cornell potential in isotropic medium by employing the effective fugacity quasi-particle Debye mass. We had also calculated the bottomonium suppression in an expanding, dissipative strongly interacting QGP medium produced in relativistic heavy-ion collisions. Finally we compared our results with experimental data from RHIC 200GeV/nucleon Au-Au collisions, LHC 2.76 TeV/nucleon Pb-Pb, and LHC 5.02 TeV/nucleon Pb-Pb collisions as a function of number of participants, Comment: 13 pages, 10 figures