Hidden charm pentaquark states in a diquark model

TL;DR

This paper calculates the mass spectrum of hidden charm pentaquark states using a diquark model with an effective Hamiltonian, explaining several observed states and predicting others.

Contribution

It introduces a diquark-based model with an effective Hamiltonian to explain and predict hidden charm pentaquark states' masses and quantum numbers.

Findings

Explains $P_c(4312)^+$, $P_c(4440)^+$, and $P_c(4457)^+$ as specific pentaquark states.

Predicts masses of other potential pentaquark states.

Discusses decay channels of hidden charm pentaquarks.

Abstract

The mass spectrum of hidden charm pentaquark states composed of two diquarks and an antiquark are calculated by use of an effective Hamiltonian which includes explicitly the spin, color, and flavor dependent interactions. The results show that the $P_c(4312)^+$ and $P_c(4440)^+$ states could be explained as hidden charm pentaquark states with isospin and spin-parity $IJ^P=1/2\left(3/2^-\right)$, the $P_c(4457)^+$ state could be explained as a hidden charm pentaquark state with $IJ^P=1/2\left(5/2^-\right)$, and the $P_{cs}(4459)^+$ state could be explained as a hidden charm pentaquark state with $IJ^P=0\left(1/2^-\right)$ or $0\left(3/2^-\right)$. Predications for the masses of other possible pentaquark states are also given, and the possible decay channels of these hidden charm pentaquark states are discussed.