Abstract

In the present work, we investigate the pion/kaon induced P_c/P_{cs} productions with Z_c state off proton target with an effective Lagrangian approach. Our estimations indicate that the cross sections depend on the model parameters and beam energies, in particular, the cross sections for pi p rightarrow Z_c(3900) P_c(4312) and pi p rightarrow Z_c(3900) P_c(4440) are similar and can reach up to 10 nb, while those for pi p rightarrow Z_c(3900) P_c(4457) can be 30 nb. As for Kp rightarrow Z_{cs}(3985)P_c, the cross sections are about 2.5 times smaller than those for pi p rightarrow Z_c(3900) P_c. The discussed processes in the present work, especially pi p rightarrow Z_c(3900) P_c(4457) process, may be accessible by the high-energy pion and kaon beams in the facilities of J-PARC and COMPASS.

Highlights

  • The investigations of exotic states beyond the conventional hadrons are one of the most intriguing topics in hadron physics in the past two decades

  • With the assumption that Zc(3900) dominantly decays into D∗ Dand J/ψπ and considering the width of Zc(3900) [93], one can estimate the partial width of Zc(3900) → J/ψπ channel, and the coupling constant gZcψπ can be evaluated by using Eq (5)

  • We evaluate the experimental potential of the double exotic production in the π p and K p scattering processes

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Summary

Introduction

The investigations of exotic states beyond the conventional hadrons are one of the most intriguing topics in hadron physics in the past two decades. Pc(4380) and Pc(4450) were first observed in the J/ψ p invariant mass spectrum of b → K J/ψ p decay process by the LHCb Collaboration in 2015. Later in 2020, the LHCb Collaboration reported an open-strange and hidden-charm pentaquark state, named Pc0s(4459) in J/ψ invariant mass spectrum of. These observations stimulated theorists great interests to investigate the nature and internal structure of these tetraquark and pentaquark candidates. All these observed tetraquark and pentaquark candidates are close to the thresholds of a pair of hadrons All these states can be considered as molecular states. As for Pc/Pcs states, the observed production process has been investigated in Refs.

Pion and kaon induced productions on a proton target
Coupling constants
Cross sections for double exotic states production processes
Summary
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