Remarks on the $S$-wave masses of singly heavy mesons

TL;DR

This paper uses string model methods, Regge trajectories, and perturbation techniques to analyze and predict the mass spectrum and quantum numbers of singly heavy mesons, focusing on both observed and unobserved states.

Contribution

It introduces a combined approach using string models, Regge trajectories, and perturbation methods to predict unobserved heavy meson masses and quantum numbers.

Findings

Predicted masses and quantum numbers for unobserved $2S$-wave heavy mesons.

Analyzed the mass spectrum of $1S$- and $2S$-wave heavy mesons.

Provided theoretical support for experimental searches of heavy mesons.

Abstract

Based on the study of the string model methods of singly heavy mesons and singly heavy baryons, we calculate the mass spectrum of $1S$-and $2S$-wave for both charm and bottom mesons$(D/D_{s}, B/B_{s})$. Experimentally, there are most masses spectra of $1S$-wave have been found, while the masses part of the $2S$-state is not determined. In this paper, we will use singly light quark or diquark model images and Regge trajectory models, combined with perturbation processing methods, to analyze and study the observed singly heavy mesons, further predict the unobserved mesons masses and their corresponding spin-parity quantum numbers.