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Abstract

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

Topics & Concepts