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Temperature dependence on Spectrum of Heavy Hybrid Mesons

Ali Zeeshan, Nosheen Akbar, Sadia Arshad, Ali Akgul

Abstract

In this work, temperature dependence on the masses of conventional and hybrid heavy quarkonium systems is investigated. For this, a thermally screened interaction is incorporated through Debye mass $(m_{D}(T))$ into the potential models of conventional and hybrid charmonium ($c\overline{c}$) and bottomonium ($b\overline{b}$) mesons (conventional and hybrid). Mass eigenvalues for S, P, D states of these mesons are computed by power series expansion method at different values of debye mass. Comparison with available lattice-QCD-inspired potentials and previous numerical studies show strong agreement and validate the efficiency of power-series technique for calculations of mass of heavy quarkonium at finite-temperature. Our results can be helpful to explore the recent experimentally determined states of charmonium and bottomonium.

Temperature dependence on Spectrum of Heavy Hybrid Mesons

Abstract

In this work, temperature dependence on the masses of conventional and hybrid heavy quarkonium systems is investigated. For this, a thermally screened interaction is incorporated through Debye mass into the potential models of conventional and hybrid charmonium () and bottomonium () mesons (conventional and hybrid). Mass eigenvalues for S, P, D states of these mesons are computed by power series expansion method at different values of debye mass. Comparison with available lattice-QCD-inspired potentials and previous numerical studies show strong agreement and validate the efficiency of power-series technique for calculations of mass of heavy quarkonium at finite-temperature. Our results can be helpful to explore the recent experimentally determined states of charmonium and bottomonium.
Paper Structure (13 sections, 21 equations, 2 figures, 4 tables)

This paper contains 13 sections, 21 equations, 2 figures, 4 tables.

Table of Contents

  1. Abstract
  2. 1. Introduction
  3. 2. Radial Schrodinger Equation
  4. 3. Solution of Radial Schrodinger Equation (SE) and Energy of Mesons by Power Series Method
  5. 4. Parameters of Potential Models and Mass spectra of mesons
  6. 5. Results and Discussion
  7. 6. Conclusion

Figures (2)

  • Figure 1: Variation 0f caharmonium mass with $m_D(T)$. Left side figure is for conventional charmonium and right side figure is for hybrid charmonium.
  • Figure 2: Variation 0f botomonium mass with $m_D(T)$. Left side figure is for conventional botomonium and right side figure is for hybrid botomonium.