Bottom Baryon Decays to Pseudoscalar Meson and Pentaquark

preprint2015arXivOpen access

Abstract

Based on SU(3) flavor symmetry, we decompose the decay amplitudes of bottom baryon decays to a pseudoscalar meson and an octet (a decuplet) pentaquark in terms of three (two) invariant amplitudes T1T_1 and T2,3T_{2,3} (T~1\tilde T_1 and T~2\tilde T_2) corresponding to external WW-emission and internal WW-emission diagrams, respectively. For antitriplet bottom baryons Λb0,Ξb0Λ_b^0,Ξ_b^0 and Ξb−Ξ_b^-, their decays to a decuplet pentaquark proceed only through the internal WW-emission diagram. Assuming the dominance from the external WW-emission amplitudes, we present an estimate of the decay rates relative to Λb0→Pp+K−Λ_b^0\to P_p^+K^-, where Pp+P_p^+ is the hidden-charm pentaquark with the same light quark content as the proton. Hence, our numerical results will provide a very useful guideline to the experimental search for pentaquarks in bottom baryon decays. For example, Ξb0→PΣ+K−Ξ_b^0\to P_{Σ^+}K^-, Ξb−→PΣ−Kˉ0Ξ_b^-\to P_{Σ^-}\bar K^0, Ωb−→PΞ−Kˉ0Ω_b^-\to P_{Ξ^-}\bar K^0 and Ωb−→PΞ0K−Ω_b^-\to P_{Ξ^0}K^- may have rates comparable to that of Λb0→Pp+K−Λ_b^0\to P_p^+K^- and these modes should be given the higher priority in the experimental searches for pentaquarks.

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