Radially excited (n=3)charm mesons in heavy quark effective theory

Abstract

By exploring heavy quark effective theory (HQET), we use theoretical available data for bottom mesons to analysis the masses and decays for n = 3 charm mesons. From the predicted masses, we studied ground state strong decay modes in terms of couplings. Comparing the decays with available total decay widths, we provide upper bounds on the associated couplings. We also plot Regge trajectories for our predicted data in planes (J, $M^2$ ) and ($n_r$, $M^2$ ) and estimated higher masses (n = 4) by fixing Regge slopes and intercepts. These Regge trajectories are used to clarify $D_2^{\ast }(3000)$ state's $J^P$ as 1F ($2^{+}$) state. The presented results may further get confirmation through upcoming experimental information.

9 pages,7 figures