Eur. Phys. J. A (2021) 57: 23
https://doi.org/10.1140/epja/s10050-020-00332-4

Regular Article – Theoretical Physics

Strong decay analysis of excited nonstrange charmed mesons: implications for spectroscopy

Department of Applied Physics, Sardar Vallabhbhai National Institute of Technology, 395007, Surat, Gujarat, India

^b raiajayk@gmail.com

Received: 6 October 2020
Accepted: 13 December 2020
Published online: 13 January 2021

Abstract

The strong decays of experimentally observed excited nonstrange charmed mesons are analyzed in the framework of heavy quark effective theory (HQET). The ratio of the strong decay rates identified the doublets $(D_1(2420),D_2^{\ast }(2460))$ as $(1^3{P}_1,1^3{P}_2)$, $(D(2550),D_J^{\ast }(2600))$ as $(2^1{S}_0,2^3{S}_1)$ and $(D(2740),D_J^{\ast }(2750))$ as $(1^3{D}_2,1^3{D}_3)$. The $D_J(3000)$ is interpreted as the mixing of $2^1{P}_1-2^3{P}_1$ states. The resonances $D{}_J^{\ast }(3000)$ and $D_2^{\ast }(3000)$ are identified with $2^3{P}_2$ and $1^3{F}_2$ quantum states, respectively. Such states allows to construct the Regge trajectories in $(M^2,J)$ and $(M^2,n_r)$ planes. We fix the slope and the intercept of each Regge line and estimate the masses of higher excited nonstrange charmed mesons which are lying on the Regge lines. Also, the ratios of the strong decay rates of this higher excited nonstrange charmed mesons are calculated. It can provide valuable information to future experimental search.