Radially Excited Bottom Mesons in Heavy Quark Effective Theory

TL;DR

This paper uses Heavy Quark Effective Theory to predict the masses and decay properties of radially excited bottom mesons, providing theoretical estimates that can guide future experimental validation.

Contribution

It extends previous HQET applications to bottom mesons, calculating masses, decay widths, and constructing Regge trajectories for these excited states.

Findings

Predicted masses of radially excited bottom mesons.

Calculated decay widths and hadronic coupling constants.

Constructed Regge trajectories for excited bottom mesons.

Abstract

In this paper, Heavy Quark Effective Theory (HQET) is employed to investigate experimentally missing radially excited bottom-meson states. It is an extension of our previous work, in which we had applied HQET for the calculation of charm mesons. By incorporating both theoretical insights and available experimental data on charmed mesons with flavor-symmetry parameters, we computed masses of radially excited bottom-meson states with their strange partners. In addition, decay widths are calculated in the form of hadronic coupling constants $\tilde{\tilde{g}}_{HH}$, $\tilde{\tilde{g}}_{SH}$, $\tilde{\tilde{g}}_{TH}$. By comparing our decay width predictions with available total decay widths, we calculated upper bounds on the corresponding couplings. Regge trajectories are also constructed for our predicted data in planes ($J$, $M^2$ ) and ($n_r$, $M^2$ ), and estimate higher masses ($n = 4$) by fixing Regge slopes and intercepts. Future experimental findings can validate the results obtained in this work.