Orbital excited meson mass spectra in the solvable potential model of two-body Dirac equation

Abstract

The meson mass spectra are obtained by solving exactly the two-body Dirac equation for the linear plus Coulomb potentials with complex spin-angular structure. In such a solvable model, the orbital excited heavy meson states as well as the orbital light meson states agree well with available experimental data. It turns out that the quark-antiquark interaction potential may be more intricate than those predicted so far.

The mass spectra and decay properties of dimesonic states, using the Hellmann potential

“…The potential model are used to calculate the masses [8,9,10,33,34,35,36] and decay properties of various multiquark states. Recently, the potential model has employed successfully to study various spectroscopic study of mesons [47,48,49,50,51,52]. Whereas, various authors have successfully used non-relativistic potential model for the study of the molecular or tetra-quark structure [36,38,53,54,55].…”