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

TL;DR

This paper uses heavy quark effective theory to analyze the masses and decay modes of n=3 charm mesons, providing predictions and insights into their properties and potential experimental confirmation.

Contribution

It offers theoretical predictions for n=3 charm meson masses, decay modes, and Regge trajectories, clarifying the nature of the $D_2^*(3000)$ state.

Findings

Predicted masses and decay modes for n=3 charm mesons.

Upper bounds on decay couplings based on decay width comparisons.

Regge trajectories supporting the $J^P$ assignment of $D_2^*(3000)$.

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 $D_2^*(3000)$ state's $J^P$ as 1F ($2^+$) state. The presented results may further get confirmation through upcoming experimental information.