Applied Science and Computer Mathematics

Meson Spectra for Heavy Quark Constituents

  • By Hesham Mansour, Ahmed Gamal
  • Applied Science and Computer Mathematics, 2(1) (2021): 37-50

Abstract

The spin splitting (relativistic correction) is important to describe the quarkonium systems like (𝑐𝑐Ė…, 𝑏𝑏Ė… and 𝑏Ė…đ‘) and it gives a good explanation for the quarkonium systems with their mass spectra for heavy quarks. The mass spectra of quarkonium systems mesons are studied within the framework of the non-relativistic Schrödinger’s equation with and without relativistic corrections by the Nikiforov-Uvarov (NU) method. we use the same set of parameters of the potential to fit the three quarkonium systems together and we get a good fitting with the mass spectra using a smaller number of parameters.

Keywords: Schrodinger equation, The Nikiforov-Uvarov (NU) method, The quarkonium systems, Relativistic corrections