2016Physical Review COpen access

Looking for a hidden-charm pentaquark state with strangeness S=−1 from Ξb− decay into J/ψK−Λ

Hua-Xing Chen, Li‐Sheng Geng, Wei-Hong Liang, E. Oset, En Wang, Ju-Jun Xie

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Abstract

Assuming that the recently observed hidden-charm pentaquark state, ${P}_{c}(4450)$, is of molecular nature as predicted in the unitary approach, we propose to study the decay of ${\mathrm{\ensuremath{\Xi}}}_{b}^{\ensuremath{-}}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{\ensuremath{-}}\mathrm{\ensuremath{\Lambda}}$ to search for the strangeness counterpart of the ${P}_{c}(4450)$. There are three ingredients in the decay mechanism: the weak decay mechanism, the hadronization mechanism, and the final state interactions in the meson-baryon system of strangeness $S=\ensuremath{-}2$ and isospin $I=1/2$ and of the $J/\ensuremath{\psi}\mathrm{\ensuremath{\Lambda}}$. All these have been tested extensively. As a result, we provide a genuine prediction of the invariant mass distributions where a strangeness hidden-charm pentaquark state, the counterpart of the ${P}_{c}(4450)$, can be clearly seen. The decay rate is estimated to be of similar magnitude as the ${\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{\ensuremath{-}}p$ measured by the LHCb Collaboration.

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Assuming that the recently observed hidden-charm pentaquark state, ${P}_{c}(4450)$, is of molecular nature as predicted in the unitary approach, we propose to study the decay of ${\mathrm{\ensuremath{\Xi}}}_{b}^{\ensuremath{-}}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{\ensuremath{-}}\mathrm{\ensuremath{\Lambda}}$ to search for the strangeness counterpart of the ${P}_{c}(4450)$. There are three ingredients in the decay mechanism: the weak decay mechanism, the hadronization mechanism, and the final state interactions in the meson-baryon system of strangeness $S=\ensuremath{-}2$ and isospin $I=1/2$ and of the $J/\ensuremath{\psi}\mathrm{\ensuremath{\Lambda}}$. All these have been tested extensively. As a result, we provide a genuine prediction of the invariant mass distributions where a strangeness hidden-charm pentaquark state, the counterpart of the ${P}_{c}(4450)$, can be clearly seen. The decay rate is estimated to be of similar magnitude as the ${\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{\ensuremath{-}}p$ measured by the LHCb Collaboration.

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Available abstract

Assuming that the recently observed hidden-charm pentaquark state, ${P}_{c}(4450)$, is of molecular nature as predicted in the unitary approach, we propose to study the decay of ${\mathrm{\ensuremath{\Xi}}}_{b}^{\ensuremath{-}}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{\ensuremath{-}}\mathrm{\ensuremath{\Lambda}}$ to search for the strangeness counterpart of the ${P}_{c}(4450)$. There are three ingredients in the decay mechanism: the weak decay mechanism, the hadronization mechanism, and the final state interactions in the meson-baryon system of strangeness $S=\ensuremath{-}2$ and isospin $I=1/2$ and of the $J/\ensuremath{\psi}\mathrm{\ensuremath{\Lambda}}$. All these have been tested extensively. As a result, we provide a genuine prediction of the invariant mass distributions where a strangeness hidden-charm pentaquark state, the counterpart of the ${P}_{c}(4450)$, can be clearly seen. The decay rate is estimated to be of similar magnitude as the ${\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{\ensuremath{-}}p$ measured by the LHCb Collaboration.

Key concepts: Strangeness, Charm (quantum number), Pentaquark, State (computer science), Computer science, Physics, Algorithm, Particle physics

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