Mass Spectra of One or Two Heavy Quark Mesons and Diquarks within a Nonrelativistic Potential Model

TL;DR

This paper estimates the mass spectra of heavy quark mesons and diquarks using a nonrelativistic potential model, solving Schrödinger equations with an effective interaction inspired by QCD, and finds results consistent with experimental data.

Contribution

It introduces a nonrelativistic potential model based on a Poincaré covariant interaction to calculate heavy meson and diquark spectra, extending to radial excitations.

Findings

Results agree well with experimental data.

Model successfully predicts radial excitations.

Diquark mass spectra are estimated within the same framework.

Abstract

In this article, the mass spectra of mesons with one or two heavy quarks and their diquarks partners are estimated within a non-relativistic framework by solving Schr\"odinger equation with an effective potential inspired by a symmetry preserving Poincar\'e covariant vector-vector contact interaction model of quantum chromodynamics. Matrix Numerov method is implemented for this purpose. In our survey of mesons with heavy quarks, we fix the model parameter to the masses of ground-states and then extend our calculations for radial excitations and diquarks. The potential model used in this work gives results which are in good agreement with experimental data and other theoretical calculations.