Can the newly reported <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>4459</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> be a strange hidden-charm <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">Ξ</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:msup><mml:mover accent="true"><mml:mi>D</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover><mml:mo>*</mml:mo></mml:msup></mml:math> molecular pentaquark?
Rui Chen
Abstract
Stimulated by the ${P}_{cs}(4459)$ reported by the LHCb collaboration, we perform a single ${\mathrm{\ensuremath{\Xi}}}_{c}{\overline{D}}^{*}$ channel and a coupled ${\mathrm{\ensuremath{\Xi}}}_{c}{\overline{D}}^{*}/{\mathrm{\ensuremath{\Xi}}}_{c}^{*}\overline{D}/{\mathrm{\ensuremath{\Xi}}}_{c}^{\ensuremath{'}}{\overline{D}}^{*}/{\mathrm{\ensuremath{\Xi}}}_{c}^{*}{\overline{D}}^{*}$ channel analysis by using a one-boson-exchange model. Our results indicate that the newly ${P}_{cs}(4459)$ cannot be a pure ${\mathrm{\ensuremath{\Xi}}}_{c}{\overline{D}}^{*}$ molecular state, but a coupled ${\mathrm{\ensuremath{\Xi}}}_{c}{\overline{D}}^{*}/{\mathrm{\ensuremath{\Xi}}}_{c}^{*}\overline{D}/{\mathrm{\ensuremath{\Xi}}}_{c}^{\ensuremath{'}}{\overline{D}}^{*}/{\mathrm{\ensuremath{\Xi}}}_{c}^{*}{\overline{D}}^{*}$ bound state with $I({J}^{P})=0(3/{2}^{\ensuremath{-}})$, where the ${\mathrm{\ensuremath{\Xi}}}_{c}{\overline{D}}^{*}$ and ${\mathrm{\ensuremath{\Xi}}}_{c}^{*}\overline{D}$ components are dominant. Meanwhile, we find the interactions from the ${\mathrm{\ensuremath{\Xi}}}_{c}^{\ensuremath{'}}{\overline{D}}^{*}$ system with $0(1/{2}^{\ensuremath{-}})$, the ${\mathrm{\ensuremath{\Xi}}}_{c}^{*}\overline{D}$ system with $1(3/{2}^{\ensuremath{-}})$, and the ${\mathrm{\ensuremath{\Xi}}}_{c}^{*}{\overline{D}}^{*}$ system with $1(1/{2}^{\ensuremath{-}})$ are strongly attractive, where one can expect possible strange hidden-charm molecular or resonant structures near these thresholds with the assigned quantum numbers.