Phys. Rev. D 101, 014024 (2020)
Study on possible molecular states composed of Λc¯D (ΛbB) and Σc¯D (ΣbB) within the Bethe-Salpeter framework
Hong-Wei Ke1,*, Mei Li1, Xiao-Hai Liu1,†, and Xue-Qian Li2,‡
1 School of Science, Tianjin University, Tianjin 300072, China
2 School of Physics, Nankai University, Tianjin 300071, China
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 ¯D masses, it is naturally tempted to be considered as a molecular state composed of Σc and ¯D. 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 the 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.