Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions

Abstract

The discoveries of the $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as the potential ${\Xi }_c{\bar{D}}^{(\ast )}$ molecules have sparked our curiosity in exploring a novel class of molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks. In this study, we carry out an investigation into the higher molecular pentaquarks, specifically focusing on the $P_{\psi s}^{\Lambda /\Sigma }$ states arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions. Our approach employs the one-boson-exchange model, incorporating both the $S$-$D$ wave mixing effect and the coupled channel effect. Our numerical results suggest that the ${\Xi }_c{\bar{D}}_1$ states with $I(J^P)=0(1/2^{+},3/2^{+})$, the ${\Xi }_c{\bar{D}}_2^{\ast }$ states with $I(J^P)=0(3/2^{+},5/2^{+})$, the ${\Xi }_c^{\prime }{\bar{D}}_1$ states with $I(J^P)=0(1/2^{+},3/2^{+})$, the ${\Xi }_c^{\prime }{\bar{D}}_2^{\ast }$ states with $I(J^P)=0(3/2^{+},5/2^{+})$, the ${\Xi }_c^{\ast }{\bar{D}}_1$ states with $I(J^P)=0(1/2^{+},3/2^{+},5/2^{+})$, and the ${\Xi }_c^{\ast }{\bar{D}}_2^{\ast }$ states with $I(J^P)=0(1/2^{+},3/2^{+},5/2^{+},7/2^{+})$ can be recommended as the most promising molecular $P_{\psi s}^{\Lambda }$ pentaquark candidates, and there may exist the potential molecular $P_{\psi s}^{\Sigma }$ pentaquark candidates for several isovector ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ states. With the higher statistical data accumulation at the LHCb's Run II and Run III status, there is the possibility that our predicted $P_{\psi s}^{\Lambda /\Sigma }$ states can be detected through the weak decay of the ${\Xi }_b$ baryon, especially in hunting for the predicted $P_{\psi s}^{\Lambda }$ states.

Comments: 22 pages, 6 figures, and 10 tables