Hidden-bottom molecular states from interaction

Jun-Tao Zhu; Shu-Yi Kong; Yi Liu; Jun He

doi:10.1140/epjc/s10052-020-8410-z

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2020) 80: 1016
https://doi.org/10.1140/epjc/s10052-020-8410-z

Regular Article - Theoretical Physics

Hidden-bottom molecular states from $Σ_{b}^{()} B^{()} - Λ_{b} B^{()}$ $\varSigma ^{()}_bB^{()}-\varLambda _bB^{()}$ interaction

Jun-Tao Zhu, Shu-Yi Kong, Yi Liu and Jun He^d

Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, 210097, Nanjing, China

^d junhe@njnu.edu.cn

Received: 15 July 2020
Accepted: 27 August 2020
Published online: 2 November 2020

Abstract

In this work, we study possible hidden-bottom molecular pentaquarks $P_{b}$ $$P_b$$ from coupled-channel $Σ_{b}^{(*)} B^{(*)} - Λ_{b} B^{(*)}$ $\varSigma ^{(*)}_bB^{(*)}-\varLambda _bB^{(*)}$ interaction in the quasipotential Bethe-Salpeter equation approach. In isodoublet sector with $I = 1 / 2$ $$I=1/2$$ , with the same reasonable parameters the interaction produces seven molecular states, a state near $Σ_{b} B$ $\varSigma _bB$ threshold with spin parity $J^{P} = 1 / 2^{-}$ $$J^P=1/2^-$$ , a state near $Σ_{b}^{*} B$ $\varSigma ^*_bB$ threshold with $3 / 2^{-}$ $$3/2^-$$ , two states near $Σ_{b} B^{*}$ $\varSigma _bB^*$ threshold with $1 / 2^{-}$ $$1/2^-$$ and $3 / 2^{-}$ , and three states near $Σ_{b}^{*} B^{*}$ $\varSigma _b^*B^*$ threshold with $1 / 2^{-}$ , $3 / 2^{-}$ , and $5 / 2^{-}$ $$5/2^-$$ . The results suggest that three states near $Σ_{b}^{*} B^{*}$ $\varSigma _b^* B^*$ threshold and two states near $Σ_{b} B^{*}$ $\varSigma _b B^*$ threshold are very close, respectively, which may be difficult to distinguish in experiment without partial wave analysis. Compared with the hidden-charm pentaquark, the $P_{b}$ $$P_b$$ states are relatively narrow with widths at an order of magnitude of 1 MeV or smaller. The importance of each channel considered is also discussed, and it is found that the $Λ_{b} B^{*}$ $\varLambda _b B^*$ channel provides important contribution for the widths of those states. In isoquartet sector with $I = 3 / 2$ $$I=3/2$$ , cutoff should be considerably enlarged to achieve bound states from the interaction, which makes the existence of such states unreliable. The results in the current work are helpful for searching for hidden-bottom molecular pentaquarks in future experiments, such as the COMPASS, J-PARC, and the Electron Ion Collider in China (EicC).

© The Author(s) 2020

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