A study on the exotic state $P_c(4312),P_c(4440),P_c(4457)$ in $pp$ collisions at $\sqrt{s}=7$, 13 TeV

Abstract

The exotic resonant state $P_c^{\pm }(4312)$, $P_c^{\pm }(4440)$, and $P_c^{\pm }(4457)$ are studied by using the dynamically constrained phase space coalescence DCPC model and PACIAE model in $pp$ collisions at $\sqrt{s}=7$, 13TeV, respectively. We consider exotic state $P_c^{\pm }(4312)$, $P_c^{\pm }(4440)$ and $P_c^{\pm }(4457)$ to be three kinds of possible structures, i.e. pentaquark state, the nucleus-like state, and the molecular state based on $P_c^{\pm }\to J/\psi p(\bar{p})$ bound state. The yield, the transverse momentum distribution and the rapidity distribution of $P_c$ with three different structures are all predicted. The results indicated that the yield is on the order of $10^{-6}$, which might provide reference for experimental research.

6pages, 3 figures