Fine Structure of Pentaquark Multiplets in the Dynamical Diquark Model

TL;DR

This paper uses the dynamical diquark model to predict the spectrum of hidden-charm pentaquarks, aligning with recent experimental results and extending predictions to open-strange sectors, revealing their parity and multiplet classification.

Contribution

The study applies a unified dynamical diquark model to predict pentaquark spectra, including open-strange states, based on parameters from tetraquark data, matching recent LHCb findings.

Findings

Model reproduces observed level spacing of P_c states.

Predicts spectrum of P_cs states, including P_cs(4459).

All observed pentaquarks belong to the 1P multiplet with positive parity.

Abstract

We apply the dynamical diquark model to predict the spectrum of hidden-charm pentaquark states in both unflavored and open-strange sectors. Using only Hamiltonian parameters introduced in the tetraquark $S$- and $P$-wave multiplets, the model naturally produces the level spacing supported by the most recent LHCb results for $P_c$ structures. Furthermore, using model inputs obtained from data of hidden-charm, open-strange tetraquarks ($Z_{cs}$), we predict the spectrum of $P_{cs}$ states, including the recently observed $P_{cs}(4459)$. We find all pentaquark candidates observed to date to belong to the $1P$ multiplet and hence have positive parity.