Strong decays analysis of excited nonstrange charmed mesons: Implications for spectroscopy

TL;DR

This paper analyzes the strong decays of various excited nonstrange charmed mesons using Heavy Quark Effective Theory, constructs Regge trajectories, and predicts masses and decay properties of higher excited states to guide experimental searches.

Contribution

It introduces a comprehensive decay analysis within HQET, constructs Regge trajectories for these mesons, and predicts properties of higher excited states for future experimental validation.

Findings

Decay rates and branching ratios determine meson spin and parity.

Regge trajectories are constructed, predicting masses of higher excited states.

Decay properties of higher states are analyzed to aid experimental searches.

Abstract

The strong decays of $D_1(2420)^0$, $D_2^*(2460)^0$, $D_2^*(2460)^+$, $D_2^*(2460)^-$, $D(2550)^0$, $D_J^*(2600)^0$, $D(2740)^0$, $D_3^*(2750)^0$, $D_3^*(2750)^+$, $D_3^*(2750)^-$, $D_J(3000)^0$, $D{_{J}^*}(3000)^0$ and $D_2^*(3000)^0$ resonance states are analyzed in the heavy quark mass limit of Heavy Quark Effective Theory (HQET). The individual decay rates and the branching ratios among the strong decays determine their spin and parity. From such states the Regge trajectories are constructed in $(J, M^2)$ and $(n_r, M^2)$ planes and further predict the masses of higher excited states (1$^1D_2$, 1$^3D_3$, 3$^1S_0$, 3$^3S_1$, 1$^1F_3$, 1$^3F_4$, 2$^3D_3$, 3$^3P_2$ and 2$^3F_4$) lying on Regge lines by fixing their slopes and intercepts. Moreover, the strong decay rates and the branching ratios of these higher excited states are also examined, which can help the experimentalists to search these states into their respective decay modes.