R-matrix calculations for few-quark bound states

Abstract

The R-matrix method is implemented to study the heavy charm and bottom diquark, triquark, tetraquark, and pentaquarks in configuration space, as the bound states of quark-antiquark, diquark-quark, diquark-antidiquark, and diquark-antitriquark systems, respectively. The mass spectrum and the size of these systems are calculated for different partial wave channels. The calculated masses are compared with recent theoretical results obtained by other methods in momentum and configuration spaces and also by available experimental data.

Thermodynamic evaluation of Coshine Yukawa potential (CYP) for some diatomic molecule systems

“…Since the birth of quantum mechanics, non-relativistic solution of SE has drawn much attention especially in studying exact solvable physical problems in different branches of physics, of which, the applications of quantum mechanics are not limited to but incorporate molecular physics, information theory, nuclear and particle physics [5][6][7][8]. In particular, this solution approach has been adopted in many studies to report the mass spectra, thermodynamic functions, transition properties and decay rates, as well as binding energies of physical systems of interest [9][10][11][12][13][14][15]. However, solving this equation can be very arduous, and the obtainment of exact analytical solutions occurs only in few cases [16] since the solution of wave equations with some potentials are exactly solvable for𝑙 = 0, while other potentials are unsolvable and nontrivial for any arbitrary 𝑙 ≠ 0 angular momentum quantumnumber.…”