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Five-flavor molecular pentaquarks in the $Ξ_b^{(\prime,\,*)} \bar D^{(*)}$ and $Ξ_c^{(\prime,\,*)} B^{(*)}$ systems

Fu-Lai Wang, Xiang Liu

Abstract

The discovery of hidden-charm pentaquarks and open-flavor tetraquarks motivates the search for even more exotic hadron configurations. In this work, we investigate genuinely exotic molecular pentaquark candidates comprising five different flavors, focusing on the $Ξ_b^{(\prime,\,*)} \bar D^{(*)}$ and $Ξ_c^{(\prime,\,*)} B^{(*)}$ systems. Employing the one-boson-exchange model with the $S$-$D$ wave mixing and coupled-channel dynamics, we identify the most promising molecular pentaquark candidates comprising five different flavors. These include the $Ξ_b \bar D$, $Ξ_b^{\prime} \bar D$, $Ξ_c B$, and $Ξ_c^{\prime} B$ states with $I(J^P)=0(1/2^-)$, the $Ξ_b \bar D^{*}$, $Ξ_b^{\prime} \bar D^{*}$, $Ξ_c B^{*}$, and $Ξ_c^{\prime} B^{*}$ states with $I(J^P)=0(1/2^-,\,3/2^-)$, the $Ξ_b^{*} \bar D$ and $Ξ_c^{*} B$ states with $I(J^P)=0(3/2^-)$, as well as the $Ξ_b^{*} \bar D^{*}$ and $Ξ_c^{*} B^{*}$ states with $I(J^P)=0(1/2^-,\,3/2^-,\,5/2^-)$. Importantly, these loosely bound states exhibit pronounced spin splittings across different total angular momentum configurations after incorporating the spin-dependent interactions or the channel couplings. In addition, we identify several possible isovector molecular pentaquark candidates within the $Ξ_b^{(\prime,\,*)} \bar D^{(*)}$ and $Ξ_c^{(\prime,\,*)} B^{(*)}$ systems. Our predictions provide clear targets for experimental searches at facilities such as LHCb and Belle II, where the unique five-flavor quark configuration offers a distinctive experimental signature.

Five-flavor molecular pentaquarks in the $Ξ_b^{(\prime,\,*)} \bar D^{(*)}$ and $Ξ_c^{(\prime,\,*)} B^{(*)}$ systems

Abstract

The discovery of hidden-charm pentaquarks and open-flavor tetraquarks motivates the search for even more exotic hadron configurations. In this work, we investigate genuinely exotic molecular pentaquark candidates comprising five different flavors, focusing on the and systems. Employing the one-boson-exchange model with the - wave mixing and coupled-channel dynamics, we identify the most promising molecular pentaquark candidates comprising five different flavors. These include the , , , and states with , the , , , and states with , the and states with , as well as the and states with . Importantly, these loosely bound states exhibit pronounced spin splittings across different total angular momentum configurations after incorporating the spin-dependent interactions or the channel couplings. In addition, we identify several possible isovector molecular pentaquark candidates within the and systems. Our predictions provide clear targets for experimental searches at facilities such as LHCb and Belle II, where the unique five-flavor quark configuration offers a distinctive experimental signature.
Paper Structure (4 sections, 7 equations, 2 figures, 8 tables)

This paper contains 4 sections, 7 equations, 2 figures, 8 tables.

Table of Contents

  1. Introduction
  2. $\Xi_b^{(\prime,\,*)} \bar{D}^{(*)}$ systems
  3. $\Xi_c^{(\prime,\,*)} B^{(*)}$ systems
  4. Summary and outlook

Figures (2)

  • Figure 1: Relationship between the binding energy and the cutoff in the $\Xi_b \bar{D}^* / \Xi_b' \bar{D}^* / \Xi_b^* \bar{D}^*$ coupled system with $I(J^P)=0(1/2^-)$ and the $\Xi_b \bar{D}^* / \Xi_b^* \bar{D} / \Xi_b' \bar{D}^* / \Xi_b^* \bar{D}^*$ coupled system with $I(J^P)=0(3/2^-)$. These two cases are represented by the red solid line and the blue dashed line, respectively.
  • Figure 2: Relationship between the reduced mass and the binding energy under the same interaction strength, taking the $\Xi_b\bar{D}$ and $\Xi_c B$ bound states with $I(J^P)=0(1/2^-)$ as examples.