Study on possible molecular states composed of $\Lambda_c\bar D$ ($\Lambda_b B$) and $\Sigma_c\bar D$ ($\Sigma_b B$) within the Bethe-Salpeter framework
High Energy Physics - Phenomenology2020-02-05v3High Energy Physics - Experiment
Pc(4312) observed by the LHCb collaboration is confirmed as a pentaquark and its structure, production, and decay behaviors attract great attention from theorists and experimentalists. Since its mass is very close to sum of Σc and Dˉ masses, it is naturally tempted to be considered as a molecular state composed of Σc and Dˉ. Moreover, Pc(4312) is observed in the channel with J/ψp final state, requiring that isospin conservation Pc(4312) is an isospin-1/2 eigenstate. In literature, several groups used various models to estimate its spectrum. We systematically study the pentaquarks within the framework of the Bethe-Salpeter equation; thus Pc(4312) is an excellent target because of the available data. We calculate the spectrum of Pc(4312) in terms of the Bethe-Salpter equations and further study its decay modes. Some predictions on other possible pentaquark states that can be tested in future experiments are made.
@article{arxiv.1909.12509,
title = {Study on possible molecular states composed of $\Lambda_c\bar D$ ($\Lambda_b B$) and $\Sigma_c\bar D$ ($\Sigma_b B$) within the Bethe-Salpeter framework},
author = {Hong-Wei Ke and Mei Li and Xiao-Hai Liu and Xue-Qian Li},
journal= {arXiv preprint arXiv:1909.12509},
year = {2020}
}