Mass behavior of hidden-charm open-strange pentaquarks inspired by the established <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>P</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math> molecular states
Rui Chen, Xiang Liu
Abstract
Stimulated by the meson-baryon molecular interpretations of the ${P}_{c}$ states [${P}_{c}(4312)/{P}_{c}(4440)/\phantom{\rule{0ex}{0ex}}{P}_{c}(4457)$], we systematically study the interactions between an $S$-wave charm-strange baryon ${\mathrm{\ensuremath{\Xi}}}_{c}^{(\ensuremath{'},*)}$ and an anticharmed meson ${\overline{D}}^{(*)}$ in a coupled channel analysis. Effective potentials for the ${\mathrm{\ensuremath{\Xi}}}_{c}^{(\ensuremath{'},*)}{\overline{D}}^{(*)}$ interactions in a one-boson-exchange model can be related to those in the ${\mathrm{\ensuremath{\Sigma}}}_{c}^{(*)}{\overline{D}}^{(*)}$ systems by using the $SU(3)$ flavor symmetry and heavy quark symmetry. Our results can predict several promising hidden-charm molecular pentaquarks with strangeness $|S|=1$, which include the ${\mathrm{\ensuremath{\Xi}}}_{c}^{\ensuremath{'}}\overline{D}$ states with $I({J}^{P})=0,1(1/{2}^{\ensuremath{-}})$, the ${\mathrm{\ensuremath{\Xi}}}_{c}^{*}\overline{D}$ states with $0,1(3/{2}^{\ensuremath{-}})$, the ${\mathrm{\ensuremath{\Xi}}}_{c}^{\ensuremath{'}}{\overline{D}}^{*}$ states with $0(1/{2}^{\ensuremath{-}})$ and $0,1(3/{2}^{\ensuremath{-}})$, and the ${\mathrm{\ensuremath{\Xi}}}_{c}^{*}{\overline{D}}^{*}$ states with $0(1/{2}^{\ensuremath{-}},3/{2}^{\ensuremath{-}},5/{2}^{\ensuremath{-}})$.