Abstract
We have performed a study of the Λb0→ηcK−p and Λb0→ηcπΣ reactions based on the dominant Cabibbo favored weak decay mechanism. We show that the K−p produced only couples to Λ⁎ states, not Σ⁎ and that the πΣ state is only generated from final state interaction of K¯N and ηΛ channels which are produced in a primary stage. This guarantees that the πΣ state is generated in isospin I=0 and we see that the invariant mass produces a clean signal for the Λ(1405) of higher mass at 1420 MeV. We also study the ηcp final state interaction, which is driven by the excitation of a hidden charm resonance predicted before. We relate the strength of the different invariant mass distributions and find similar strengths that should be clearly visible in an ongoing LHCb experiment. In particular we predict that a clean peak should be seen for a hidden charm resonance that couples to the ηcp channel in the invariant ηcp mass distribution.
Highlights
The analysis of the Λ0b → J/ψK−p reaction of LHCb and the interpretation of the J/ψp spectrum in terms of the two pentaquark states, Pc(4380) and Pc(4450) [1, 2] has stirred a wave of theoretical work trying to understand the nature of the states
Prior to the experiment there were predictions based on molecular states of the D Σc − D Λc and D ∗Σc − D ∗Λc nature [3, 4]
These would be hidden charm molecular states, and in the case of D ∗Σc−D ∗Λc a state with spin-parity J P = 3/2− appears with mass similar to the Pc(4450)
Summary
The analysis of the Λ0b → J/ψK−p reaction of LHCb and the interpretation of the J/ψp spectrum in terms of the two pentaquark states, Pc(4380) and Pc(4450) [1, 2] has stirred a wave of theoretical work trying to understand the nature of the states. Other different quark rearrangements have been suggested [30,31,32,33], as well as QCD sum rules [34, 35], and new methods of production in different reactions have been investigated [36,37,38,39,40,41,42,43,44] The properties of these hidden charm states in light quark matter have been studied in Ref. In the present work we pay attention to the reaction of Λ0b → ηcK−p, which is under analysis by the LHCb collaboration [61] and make predictions for the ηcp and K−p mass distributions.
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