Pentaquarks from intrinsic charms in ΛbΛ_b decays

preprint2015arXivOpen access

Abstract

We study the three-body ΛbΛ_b decays of Λb→J/ψpMΛ_b\to J/ψpM with M=K−M=K^- and π−π^-. The two new states Pc1≡Pc(4380)+{\cal P}_{c1}\equiv {\cal P}_c(4380)^+ and Pc2≡Pc(4450)+{\cal P}_{c2}\equiv {\cal P}_c(4450)^+ observed recently as the resonances in the J/ψpJ/ψp invariant mass spectrum of Λb→J/ψpK−Λ_b\to J/ψp K^- can be identified to consist of five quarks, uudccˉuudc\bar c, being consistent with the existence of the pentaquark states. We argue that, in the doubly charmful ΛbΛ_b decays of Λb→J/ψpK−Λ_b\to J/ψpK^- through b→ccˉsb\to c\bar c s, apart from those through the non-resonant Λb→pK−Λ_b\to pK^- and resonant Λb→Λ∗→pK−Λ_b\to Λ^*\to pK^- transitions, the third contribution with the non-factorizable effects is not the dominant part for the resonant Λb→K−Pc1,c2,Pc1,c2→J/ψpΛ_b\to K^-{\cal P}_{c1,c2}, {\cal P}_{c1,c2}\to J/ψp processes, such that we propose that the Pc1,c2{\cal P}_{c1,c2} productions are mainly from the charmless ΛbΛ_b decays through b→uˉusb\to \bar u u s, in which the ccˉc\bar c content in Pc1,c2{\cal P}_{c1,c2} arises from the intrinsic charms within the ΛbΛ_b baryon. We hence predict the observables related to the branching ratios and the direct CP violating asymmetries to be B(Λb→π−(Pc1,c2→)J/ψp)/B(Λb→K−(Pc1,c2→)J/ψp)=0.8±0.1{\cal B}(Λ_b\to π^-({\cal P}_{c1,c2}\to) J/ψp)/{\cal B}(Λ_b\to K^-({\cal P}_{c1,c2}\to) J/ψp)=0.8\pm 0.1, ACP(Λb→π−(Pc1,c2→)J/ψp)=(−3.9±0.2)%{\cal A}_{CP}(Λ_b\to π^-({\cal P}_{c1,c2}\to)J/ψp)=(-3.9\pm 0.2)\%, and ACP(Λb→K−(Pc1,c2→)J/ψp)=(5.8±0.2)%{\cal A}_{CP}(Λ_b\to K^-({\cal P}_{c1,c2}\to)J/ψp)=(5.8\pm 0.2)\%, which can alleviate the inconsistency between the theoretical expectations from the three contributions in the doubly charmful ΛbΛ_b decays and the observed data.

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