Possible open charm molecular pentaquarks from ${\Lambda }_c{K}^{(\ast )}/{\Sigma }_c{K}^{(\ast )}$ interactions

Abstract

In this work, we adopt the one-boson-exchange model to study the $Y_c{K}^{(\ast )}(Y_c={\Lambda }_c,{\Sigma }_c)$ interactions. After considering both of the $S-D$ wave mixing effects and the coupled channel effects, we can predict several possible open-charm molecular pentaquarks, i.e., the single ${\Sigma }_c{K}^{\ast }$ molecular states with $I(J^P)=1/2(1/2^{-})$, $1/2(3/2^{-})$ and $3/2(1/2^{-})$, the coupled ${\Lambda }_c{K}^{\ast }/{\Sigma }_c{K}^{\ast }$ molecular states with $1/2(1/2^{-})$ and $1/2(3/2^{-})$, and the coupled ${\Sigma }_{c}K/{\Lambda }_c{K}^{\ast }/{\Sigma }_c{K}^{\ast }$ molecular state with $1/2(1/2^{-})$. Meanwhile, we extend our study to the $Y_c{\bar{K}}^{(\ast )}$ interactions, our results suggest the ${\Sigma }_c\bar{K}$ system with $I(J^P)=1/2(1/2^{-})$, the ${\Sigma }_c{\bar{K}}^{\ast }$ systems with $1/2(1/2^{-})$, $1/2(3/2^{-})$, and $3/2(3/2^{-})$, the coupled ${\Lambda }_c{\bar{K}}^{\ast }/{\Sigma }_c{\bar{K}}^{\ast }$ system with $1/2(1/2^{-})$, and the ${\Sigma }_c\bar{K}/{\Lambda }_c{\bar{K}}^{\ast }/{\Sigma }_c{\bar{K}}^{\ast }$ system with $1/2(1/2^{-})$ can be the prime molecular candidates.

Comments: 9 pages, 1 figure. arXiv admin note: text overlap with arXiv:2208.10196