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

Abstract By exploring heavy quark effective theory we use theoretical available data for bottom mesons to analyze the masses and decays for n = 3 charm mesons. From the predicted masses, we study 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 the (J, M2) and (nr, M2) planes, and estimate higher masses (n = 4) by fixing Regge slopes and intercepts. These Regge trajectories and study of branching ratios are used to clarify the $D_2^{*}(3000)$ state’s JP as the 13F2 state. The results presented may be further confirmed through upcoming experimental information.