Masses and thermal properties of a Charmonium and Bottomonium Mesons

Abstract

In this research, we model Hulthén plus generalized inverse quadratic Yukawa potential to interact in a quark-antiquark system. The solutions of the Schrödinger equation are obtained using the Nikiforov-Uvarov method. The energy spectrum and normalized wave function were obtained. The masses of the heavy mesons for different quantum states such as 1S, 2S , 1P, 2P 3S, 4S, 1D, and 2D were predicted as 3.096 GeV, 3.686 GeV, 3.327 GeV, 3.774GeV, 4.040 GeV, 4.364GeV, 3.761 GeV, and 4.058 GeV respectively for charmonium (cc). Also, for bottomonium (bb) we obtained 9.460 GeV, 10.023 GeV, 9.841 GeV, 10.160 GeV, 10.345 GeV, 10.522 GeV, and 10.142GeV for different states of 1S , 2S , 1P , 2P , 3S , 4S , 1D respectively. The partition function was calculated from the energy spectrum, thereafter other thermal properties were obtained. The results obtained showed an improvement when compared with the work of other researchers and excellently agreed with experimental data with a percentage error of 1.60 % and 0.46 % for (cc) and (bb), respectively.

Thermal Properties and Mass Spectra of Heavy Mesons in the Presence of a Point-Like Defect

“…The Nikiforov-Uvarov method is a really popular method amongst mathematical scientist and related discipline. Several authors have used this method to solve similar problems of interest [10][11][12][13][14][15][16][17][18][19][20]. Even through the method is quite popular, it will be useful to highlight some details, so as to make our paper self-contained.…”

Theoretical Investigation of Meson Spectrum via Exact Quantization Rule Technique

“…around 0 1 r   , up to the second order. This is similar to Pekeris approximation, which helps to deform the centrifugal term such that the modified potential can be solved by NU method [45].…”

ENERGY SPECTRA, EXPECTATION VALUES, AND THERMODYNAMICPROPERTIES OF HCl AND LiH DIATOMIC MOLECULES

“…The partition function, widely employed in molecular physics and statistical physics, facilitates the computation of various thermodynamic properties such as entropy, specific heat capacity, mean free energy, and others [1]. To analyze the behavior of non-relativistic particles in quantum mechanics, including the properties of the system's elementary particles and the mass distribution of mesons, the Schrodinger equation (SE) needs to be solved [2,3]. Several scholars [4][5][6][7][8][9][10] have examined these solutions, exploring a range of potential functionalities.…”