Abstract
In the present work, we investigate $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ production from $\Lambda_b$ decay in a molecular scenario by using an effective Lagrangian approach. We predict the ratio of the branching fraction of $\Lambda_b \to P_c K$, which is weakly dependent on our model parameter. We also find the ratios of the productions of the branching fractions of $\Lambda_b \to P_c K$ and $P_c \to J/\psi p$ can be well interpreted in the molecular scenario. Moreover, the estimated branching fractions of $\Lambda_b \to P_c K$ are of order $10^{-6}$, which could be tested by further measurements in LHCb Collaboration.
Highlights
Searching for hadrons beyond three-quark baryons and quark-antiquark mesons is one of the intriguing frontiers of hadron physics, even since the initial period of the quark model
It should be mentioned that before the LHCb observation there were theoretical predictions of molecular states composed by an anticharmed meson and charmed baryon [5,6,7,8], such as ΣcDand ΛcD, which may have corresponded to the observed Pc states
In Ref. [56], the partial widths of Pc → J=ψp were estimated in a molecular scenario; study of the production process Λb → PcK in the same molecular scenario and compared with the measured production ratios listed in Eq (1) can further test the molecular interpretations of Pc states, which is the main task of the present work
Summary
Searching for hadrons beyond three-quark baryons and quark-antiquark mesons is one of the intriguing frontiers of hadron physics, even since the initial period of the quark model. In 2015, the LHCb Collaboration reported two pentaquark candidates, Pcð4380Þ and Pcð4450Þ, in the J=ψp invariant mass spectroscopy of the Λb → KJ=ψp process [4]. The LHCb Collaboration updated its analysis of the J=ψp invariant mass spectroscopy of Λb → KJ=ψp and found three pentaquark states, which are Pþc ð4312Þ, Pþc ð4440Þ, and Pþc ð4457Þ [33]. ΣcD Ã molecular states with 1− 2 and 32−, respectively Such assignments are supported by the estimations in Refs. [56], the partial widths of Pc → J=ψp were estimated in a molecular scenario; study of the production process Λb → PcK in the same molecular scenario and compared with the measured production ratios listed in Eq (1) can further test the molecular interpretations of Pc states, which is the main task of the present work.
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