Investigation of the mass spectra of singly heavy baryons $\Sigma_{Q}$, $\Xi^{\prime}_{Q}$ and $\Omega_{Q}$$(Q=c, d)$ in Regge trajectory model

Author:

Ji-Hai Pan, Jisi Pan

Keyword:

High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph)

journal:

date:

2023-08-20 16:00:00

Abstract

Recently, the LHCb observed that two new very narrow excited states $\Omega_{c}^{0}$ decays into $\Xi^{+}_{c}K^{-}$ with masses of about $3185$ MeV and $3327$ MeV, but their parity quantum numbers have not been determined. In this paper, we exploited the quark-diquark model and the linear Regge trajectory model, combined with the perturbation treatment method to analyze and study the mass spectra of the discovered experimental data for the singly heavy baryons $\Sigma_{c}/\Sigma_{b}$, $\Xi^{\prime}_{c}/\Xi^{\prime}_{b}$ and $\Omega_{c}/\Omega_{b}$, and then we further predict the mass spectra of several unobserved the baryons $\Sigma_{c}/\Sigma_{b}$, $\Xi^{\prime}_{c}/\Xi^{\prime}_{b}$ and $\Omega_{c}/\Omega_{b}$. In the case of the baryons $\Omega_{c}(3185)^{0}$ and $\Omega_{c}(3327)^{0}$, we determine the $\Omega_{c}(3185)^{0}$ is $2S$ state and the $\Omega_{c}(3327)^{0}$ is $1D$ state with the parity quantum number $J^{P}=1/2^{+}$ and $J^{P}=3/2^{+}$, respectively. An overall good agreement of the obtained predictions with available experimental data is found.

PDF: Investigation of the mass spectra of singly heavy baryons $\Sigma_{Q}$, $\Xi^{\prime}_{Q}$ and $\Omega_{Q}$$(Q=c, d)$ in Regge trajectory model.pdf