Non-Relativistic Study of Mass Spectra, and Thermal Properties of a Quarkonium System with Eckart-Hellmann Potential

Abstract

In this present study, we model Eckart-Hellmann Potential (EHP) to interact in a quark-antiquark system. The solutions of the Schrödinger equation are obtained with EHP using the Nikiforov-Uvarov method. The energy equation and normalized wave function were obtained. The masses of the heavy mesons such as charmonium (cc-) and bottomonium (bb-) for different quantum numbers were predicted using the energy equation. Also, the partition function was calculated from the energy equation, thereafter other thermal properties such as mean energy, free energy, entropy, and specific heat capacity were obtained. The results obtained showed an improvement when compared with the work of other researchers and excellently agreed with experimental data.

Keywords

• schrödinger equation
• nikiforov-uvarov method
• eckart-hellmann potential
• heavy mesons
• thermal properties