Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory

TL;DR

This paper systematically studies the interactions of doubly charmed molecular pentaquarks using chiral effective field theory, predicting bound states and their mass spectra based on different low energy constants.

Contribution

It introduces a comprehensive chiral effective field theory framework including contact, one-pion, and two-pion exchanges for these systems, estimating low energy constants from nucleon-antinucleon data.

Findings

All $ ext{Sigma}_c^{(*)}D^{(*)}$ systems with isospin 1/2 can form bound states.

Different LEC inputs lead to distinguishable mass spectra.

Deeper bindings occur in systems with heavier reduced masses.

Abstract

We perform a systematic study on the interactions of the $\Sigma_c^{(*)}D^{(*)}$ systems within the framework of chiral effective field theory. We introduce the contact term, one-pion-exchange and two-pion-exchange contributions to describe the short-, long-, and intermediate-range interactions. The low energy constants of the $\Sigma_c^{(*)}D^{(*)}$ systems are estimated from the $N\bar{N}$ scattering data by introducing a quark level Lagrangian. With three solutions of LECs, all the $\Sigma_c^{(*)}D^{(*)}$ systems with isospin $I=1/2$ can form bound states, in which different inputs of LECs may lead to distinguishable mass spectra. In addition, we also investigate the interactions of the charmed-bottom $\Sigma_c^{(*)}\bar{B}^{(*)}$, $\Sigma_b^{(*)}D^{(*)}$, and $\Sigma_b^{(*)}\bar{B}^{(*)}$ systems. Among the obtained bound states, the bindings become deeper when the reduced masses of the corresponding systems are heavier.