Toward discovering low-lying P-wave excited Σ c baryon states * *Supported by the National Natural Science Foundation of China (U1832173, 11775078) and Scientific and Technological Innovation Programs of Higher Education Institutions of Shanxi Province, China (2020L0617)

Abstract

In this study, by combining the equal spacing rule with recent observations of and baryons, we predict the spectrum of the low-lying -mode -wave excited states. Furthermore, their strong decay properties are predicted using the chiral quark model and the nature of is investigated by analyzing the invariant mass spectrum. The structure observed in the mass spectrum was found to potentially arise from two overlapping -wave resonances, and . These resonances have similar decay widths of MeV and predominantly decay into the channel. The state is likely to be a very narrow state with a width of MeV, with its decays almost saturated by the channel. Additionally, evidence of the resonance as a very narrow peak may be seen in the invariant mass spectrum. The other two -wave states, and , are relatively narrow states with similar widths of MeV and predominantly decay into and , respectively. This study can provide useful references for discovering these low-lying -wave states in forthcoming experiments.