Meson Spectra for Heavy Quark Constituents
- By Hesham Mansour, Ahmed Gamal
- Applied Science and Computer Mathematics, 2(1) (2021): 37-50
The spin splitting (relativistic correction) is important to describe the quarkonium systems like (𝑐𝑐̅, 𝑏𝑏̅ and 𝑏̅𝑐) 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