TY  - EJOUR
AU  - Li, Qiang
AU  - Chang, Chao-Hsi
AU  - Tong, Xin
AU  - Tan, Xiaoze
AU  - Wang, Tianhong
AU  - Wang, Guo-Li
TI  - Strong decays of P<sub>ψ</sub><sup>N</sup>(4440)<sup>+</sup> and P<sub>ψ</sub><sup>N</sup>(4457)<sup>+</sup> within the Bethe-Salpeter framework
IS  - arXiv:2503.08440
M1  - PUBDB-2025-01022
M1  - arXiv:2503.08440
PY  - 2025
N1  - 51 pages, 14 figures
AB  - By combining the effective Lagrangian and Bethe-Salpeter framework, we studied the mass spectra, wave functions, and strong decay widths of the two pentaquark states P<sub>ψ</sub><sup>N</sup>(4440)<sup>+</sup> and P<sub>ψ</sub><sup>N</sup>(4457)<sup>+</sup> reported by LHCb in 2019. We calculate the one-boson-exchange interaction kernel of ―D<sup>*</sup>Σ<sub>c</sub> in the isospin-\frac12 configuration. Then we present the Bethe-Salpeter equation(BSE) and wave functions for the bound states of a vector meson and a \frac12 baryon with J<sup>P</sup>=\frac12<sup>−</sup> and \frac32<sup>−</sup>. By solving the BSE we obtain 2 bound states for both \frac12<sup>−</sup> and \frac32<sup>−</sup> spin-parity configuration, and the mass results favor the (\frac32)<sup>−</sup> and (\frac12)<sup>−</sup> configuration for the P<sub>ψ</sub><sup>N</sup>(4440) and P<sub>ψ</sub><sup>N</sup>(4457). Combining the effective Lagrangians and the obtained BS wave functions, we further calculate the strong decay channels ―D<sup>(*)0</sup>Λ<sub>c</sub><sup>+</sup>, J/ψ(η<sub>c</sub>) p, and ―DΣ<sub>c</sub><sup>(*)</sup> for the two P<sub>ψ</sub><sup>N</sup> states. In the favored \frac32<sup>−</sup> and \frac12<sup>−</sup> configuration, the obtained total widths are 34.8 MeV and 2.2 MeV for P<sub>ψ</sub><sup>N</sup>(4440) and P<sub>ψ</sub><sup>N</sup>(4457), respectively, which are substantially consistent with the LHCb data. The obtained decay widths suggest that ―D<sup>*0</sup>Λ<sub>c</sub><sup>+</sup> and ―DΣ<sub>c</sub> are the dominant decay channels to detect P<sub>ψ</sub><sup>N</sup>(4440) and P<sub>ψ</sub><sup>N</sup>(4457). Taking into account both the mass spectra and decay widths, our results favor the interpretation of P<sub>ψ</sub><sup>N</sup>(4440) and P<sub>ψ</sub><sup>N</sup>(4457) as the isospin-\frac12 [―D<sup>*</sup>Σ<sub>c</sub>] molecular states with J<sup>P</sup> configuration (\frac32)<sup>−</sup> and (\frac12)<sup>−</sup> respectively.
LB  - PUB:(DE-HGF)25
UR  - https://bib-pubdb1.desy.de/record/625071
ER  -