Abstract
Stimulated by the meson-baryon molecular interpretations of the $P_c$ states ($P_c(4312)/P_c(4440)/P_c(4457)$), we systematically study the interactions between an $S-$wave charm-strange baryon $\Xi_c^{(\prime,*)}$ and an anti-charmed meson $\bar{D}^{(*)}$ in a coupled channel analysis. Effective potentials for the $\Xi_c^{(\prime,*)}\bar{D}^{(*)}$ interactions in a one-boson-exchange model can be related to those in the $\Sigma_c^{(*)}\bar{D}^{(*)}$ 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 $\Xi_c^{\prime}\bar{D}$ states with $I(J^P)=0,1(1/2^-)$, the $\Xi_c^*\bar{D}$ states with $0,1(3/2^-)$, the $\Xi_c^{\prime}\bar{D}^*$ states with $0(1/2^-)$ and $0,1(3/2^-)$, and the $\Xi_c^*\bar{D}^*$ states with $0(1/2^-,3/2^-,5/2^-)$.
Highlights
In 2015, the LHCb collaboration reported two hiddencharm pentaquarks, namely Pcð4380Þ and Pcð4450Þ, in the Λ0b → J=ψpK− decay process [1]
Stimulated by the meson-baryon molecular interpretations of the Pc states [Pcð4312Þ=Pcð4440Þ= Pcð4457Þ], we systematically study the interactions between an S-wave charm-strange baryon Ξðc0;ÃÞ and an anticharmed meson DðÃÞ in a coupled channel analysis
Because the Pcð4380Þ and Pcð4450Þ are very close to the mass threshold of a charmed baryon and an anticharmed meson, the hadronic molecular state assignments to the Pc states are the most popular proposal, which already had been predicted previously [4,34,35,36,37,38]
Summary
In 2015, the LHCb collaboration reported two hiddencharm pentaquarks, namely Pcð4380Þ and Pcð4450Þ, in the Λ0b → J=ψpK− decay process [1]. Very recently, the LHCb collaboration further analyzed the Ξ−b → J=ψΛK− decay process, and reported an evidence of the strange hidden-charm pentaquark Pcsð4459Þ in the J=ψΛ invariant mass spectrum [64]. All these Pc and Pcs states are a little below the mass thresholds of a pair of a charmed/or charm-strange baryon and an anticharmed meson If they are the hidden-charm molecules, in this line, one can expect the existence of more hidden-charm molecular pentaquarks based on the heavy quark symmetry and the SUð3Þ flavor symmetry. We consider the coupled channel effect in our calculations It is very important in generating the Pc and Pcs states as hidden-charm molecular pentaquarks [40,65,66].
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