Radially Excited Bottom Mesons in Heavy Quark Effective Theory

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 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 the planes (J, $M^2$ ) and ($n_r$, $M^2$ ), and we estimate higher masses ($n = 4$) by fixing Regge slopes and intercepts. All trajectories are parallel to and equidistant from each other, and the calculated masses also fit nicely with linear trajectories. These predictions may provide valuable inputs for future high-precision experiments and theoretical studies of hadron spectroscopy.