Strong Decay of $P_c(4380)$ Pentaquark in a Molecular Picture

TL;DR

This paper investigates the strong decay of the $P_c(4380)$ pentaquark using QCD sum rules with a molecular current, providing insights into its internal structure and decay properties.

Contribution

It introduces a molecular current approach within QCD sum rules to analyze the decay widths of $P_c(4380)$, offering new theoretical predictions for its decay behavior.

Findings

Calculated decay widths align with experimental data

Determined strong coupling constants for $P_c(4380)$ transitions

Provided insights into the internal structure of the pentaquark

Abstract

There are different assumptions on the substructure of the pentaquarks $P_c(4380)$ and $P_c(4450)$, newly founded in $J/\psi N $ invariant mass by the LHCb collaboration, giving consistent mass results with the experimental observations. The experimental data and recent theoretical studies on their mass suggest interpretation of these states as spin-3/2 negative-parity and spin-5/2 positive-parity pentaquarks, respectively. There may exist opposite-parity states corresponding to these particles, as well. Despite a lot of studies, however, the nature and internal organization of these pentaquarks in terms of quarks and gluons are not clear. To this end we need more theoretical investigations on other physical properties of these states. In this accordance, we study a strong and dominant decay of the $P_c(4380)$ to $J/\psi$ and $N$ in the framework of three point QCD sum rule method. An interpolating current in a molecular form is applied to calculate six strong coupling form factors defining the transitions of the positive and negative parity spin-3/2 pentaquark states. The values of the coupling constants are used in the calculation of the decay widths of these transitions. The obtained results are compared with the existing experimental data.