Strong and radiative decays of D\Xi molecular state and newly observed $\Omega_c$ states

TL;DR

This paper investigates the strong and radiative decay properties of a D extbackslash Xi molecular state to understand its possible connection to newly observed extbackslash Omega extsuperscript{*}_c states, providing theoretical decay width calculations.

Contribution

It offers a novel theoretical analysis of decay widths of D extbackslash Xi molecular states and their relation to observed extbackslash Omega extsuperscript{*}_c states, supporting certain molecular interpretations.

Findings

Supports extbackslash Omega extsuperscript{*}_c(3119) or extbackslash Omega extsuperscript{*}_c(3050) as D extbackslash Xi molecules

Decay widths of extbackslash Omega extsuperscript{*}_c(3000), extbackslash Omega extsuperscript{*}_c(3066), extbackslash Omega extsuperscript{*}_c(3090) not well reproduced

Provides decay width predictions to help understand extbackslash Omega extsuperscript{*}_c states

Abstract

In this work, we study strong and radiative decays of S-wave D\Xi molecular state, which is related to the \Omega^*_c states newly observed at LHCb. The coupling between the D\Xi molecular state and its constituents D and \Xi is calculated by using the compositeness condition. With the obtained coupling, the partial decay widths of the D\Xi molecular state into the \Xi_c^{+}K^{-}, \Xi^{'+}_cK^{-} and \Omega^{*}_c(2695)\gamma final states through hadronic loop are calculated with the help of the effective Lagrangians. By comparison with the LHCb observation, the current results of total decay width support the \Omega^{*}_c(3119) or \Omega^{*}_c(3050) as D\Xi molecule while the the decay width of the \Omega^{*}_c(3000), \Omega^{*}_c(3066) and \Omega^{*}_c(3090) can not be well reproduced in the molecular state picture. The partial decay widths are also presented and helpful to further understand the internal structures of \Omega^{*}_c(3119) and \Omega^{*}_c(3050).