Strong decays of the low-lying $1P$- and $1D$-wave ${\Sigma }_c$ baryons

Abstract

In this work, we systematically study the OZI-allowed two-body strong decay properties of $1P$- and $1D$-wave ${\Sigma }_c$ baryons within the $j$-$j$ coupling scheme in the framework of the quark pair creation model. For a comparison, we also give the predictions of the chiral quark model. Some model dependencies can be found in the predictions of two models. The calculations indicate that: (i) The $1P$-wave $\lambda$-mode ${\Sigma }_c$ states most likely to be relatively narrow states with a width of $\Gamma <80$ MeV. Their main decay channels are ${\Lambda }_c\pi$, or ${\Sigma }_c\pi$, or ${\Sigma }_c^{\ast }\pi$. The $1P$-wave $\rho$-mode states most might be broad states with a width of $\Gamma \sim 100-200$ MeV. They dominantly decay into ${\Sigma }_c\pi$ and ${\Sigma }_c^{\ast }\pi$ channels. Some evidences of these $1P$-wave states are most likely to be observed in the ${\Lambda }_c\pi$ and ${\Lambda }_c\pi \pi$ invariant mass spectra around the energy range of $2.75-2.95$ GeV. (ii) The $1D$-wave $\lambda$-mode ${\Sigma }_c$ excitations may be moderate states with a width of about dozens of MeV. The $1D$-wave $\lambda$-mode states mainly decay into the $1P$-wave charmed baryon via the pionic decay processes. Meanwhile, several $1D$-wave $\lambda$-mode states have significant decay rates into $DN$ or $D^{\ast }N$. Hence, the $DN$ and $D^{\ast }N$ are likely to be interesting channels for experimental exploration. (iii) Furthermore, the two $1D$-wave $\rho$-mode excitations ${\Sigma }_c|J^P=5/2^{+},3{⟩}_{\rho \rho }$ and $|J^P=7/2^{+},3{⟩}_{\rho \rho }$ are most likely to be fairly narrow state with a width of dozens of MeV, and they mainly decay into ${\Lambda }_c\pi$. Some evidences of them might be observed in the ${\Lambda }_c\pi$ invariant mass spectra around the energy range of $3.1-3.2$ GeV.

Comments: 12 pages,5 figures, 4 tables. arXiv admin note: text overlap with arXiv:2208.10116