Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:math>-Dimensional Space

Ikot

2019

Eur. Phys. J. Plus

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The N-radial Schrödinger equation is analytically solved by using SUSYQM method, in which the heavy quarkonia potential is introduced at finite temperature and baryon chemical potential. The energy eigenvalue is calculated in the N-dimensional space. The obtained results show that the binding energy strongly decreases with increasing temperature and is slightly sensitive for changing baryon chemical potential up to 0.6 GeV at higher values of temperatures. We employed the nonperturbative corrections to the leading-order of the Debye mass at finite baryon chemical potential. We found that the binding energy is more dissociates when the nonperturbative corrections are included with the leading-order term of Debye mass in both hot and dense media. A comparison is discussed with other works such as the lattice parameterized of Debye mas. Thus, the present potential with the SUSYQM method provides satisfying results for the description of the dissociation of binding energy for heavy quarkonia in hot and dense media.

“…So far no attempts to solve quarkonium potential using SUSYQM was reported Refs. [4][5][6][7][8][9][10][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55].…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytic solution of multi-dimensional Schrödinger equation in hot and dense QCD media using the SUSYQM method

Ikot

2019

Eur. Phys. J. Plus

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“…[2][3][4][5][6][7][8][9][10][11][12], and the disassociation temperature has been studied in Refs. [13][14][15][16][17]. In addition, ultrarelativistic heavy-ion collisions (URHIC) are used to explore the quark-gluon plasma (QGP) media as in [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Dissociation of Quarkonium in Hot and Dense Media in an Anisotropic Plasma in the Nonrelativistic Quark Model

Advances in High Energy Physics

Mansour

Ahmadov

2019

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In this paper, quarkonium dissociation is investigated in an anisotropic plasma in the hot and dense media. For that purpose, the multidimensional Schrödinger equation is solved analytically by Nikiforov-Uvarov (NU) method for the real part of the potential in an anisotropic medium. The binding energy and dissociation temperature are calculated. In comparison with an isotropic medium, the binding energy of quarkonium is enhanced in the presence of an anisotropic medium. The present results show that the dissociation temperature increases with increasing anisotropic parameter for 1S state of the charmonium and bottomonium. We observe that the lower baryonic chemical potential has small effect in both isotropic and anisotropic media. A comparison is presented with other pervious theoretical works.

“…The masses of heavy-light mesons in the N-dimensional space are defined [44] , . In Tables (2-5) and Tables (2 and 3), we note that D and s B meson masses close with experimental data and other meson masses are a good agreement with experimental data and are improved in comparison with the results in recent studies [72-74, 81, 88-89, 96].…”

Section: Mass Spectra Of Heavy-light Mesonsmentioning

confidence: 99%

Heavy-Light Mesons in the Nonrelativistic Quark Model Using Laplace Transformation Method

Advances in High Energy Physics

Khokha

2018

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An analytic solution of the N-dimensional radial Schrödinger equation with the mixture of vector and scalar potentials via the Laplace transformation method (LTM) is studied. The present potential is extended to include the spin hyperfine, spin-orbit and tensor interactions. The energy eigenvalues and the corresponding eigenfunctions have been determined in the N-dimensional space. The present results are employed to study the different properties of the heavy-light mesons. The masses of the scalar, vector, pseudoscalar and pseudovector of B, B s , D and D s mesons have been calculated in the three dimensional space. The effect of the dimensional number space is studied on the masses of the heavy-light mesons. We find that the meson mass increases with increasing dimensional space. The decay constants of the pseudoscalar and vector mesons have been computed. In addition, the leptonic decay widths and branching ratio for the B + , D + and D s + mesons have been studied. Therefore, the present method with the present potential gives good results which are in good agreement with experimental data and are improved in comparison with recently theoretical works. 3(NU) method. Abou-Salem [57] has computed the masses and leptonic decay widths of , , , , and cc bb cs bs bu cb numerically using Jacobi method. The strong decays, spectroscopy and radiative transition of heavy-light hadrons have been computed with quark model predictions [58]. The decay constant of heavy-light mesons have been calculated using the field correlation method [59]. The Quasipotential approach the spectroscopy of heavy-light mesons have been investigated with the QCD motivated relativist quark model [60]. The spectroscopy and Regge trajectories of heavy-light mesons have been obtained with Quasi-potential approach [61]. The decay constants of heavy-light vector mesons [62] and heavylight pseudoscalar mesons [63] have been calculated with QCD sum rules. A comparative study has been presented of the mass spectrum and decay properties for the D-meson with the quark-antiquark potential using hydrogeometric and Gaussian wave function [64]. In framework of Dirac formalism the mass spectra of