Eur. Phys. J. C (2025) 85: 954
https://doi.org/10.1140/epjc/s10052-025-14639-3

Regular Article -Theoretical Physics

$P_c(4440)$ and $P_c(4457)$ decay into $\overline{D}{\mathrm{\Sigma }}_c$ and $\overline{D}{\mathrm{\Lambda }}_c$ and the spin of the $P_c$ states

¹ School of Physics, Beihang University, 102206, Beijing, China
² Center for Theoretical Physics, School of Physics and Optoelectronic Engineering,Hainan University, 570228, Haikou, China
³ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, 46071, Valencia, Spain
⁴ School of Physics and Optoelectronic Engineering, Center for Theoretical Physics, Hainan University, 570228, Haikou, China
⁵ Department of Physics, Guangxi Normal University, 541004, Guilin, China
⁶ Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, 541004, Guilin, China

^a Song-Jing@buaa.edu.cn

Received: 27 May 2025
Accepted: 9 August 2025
Published online: 8 September 2025

Abstract

We address the issue of the width and spin assignment of the $P_c(4440)$ and $P_c(4457)$ pentaquark states. We calculate the partial decays widths of the particles into $J/\psi N$, $\overline{D}{\mathrm{\Sigma }}_c$ and $\overline{D}{\mathrm{\Lambda }}_c$ with the first one obtained within a unitary approach with the coupled channels of $J/\psi N$ and ${\overline{D}}^{\ast }{\mathrm{\Sigma }}_c$ with the interaction driven by vector meson exchange, and the last two by means of triangle diagrams involving pion exchange. The widths obtained depend much on the spin of the particles and we study the possible scenarios for spin assignment, favoring the $1/2^{-}$, $3/2^{-}$ order, although the large experimental errors do not rule out the opposite scenario. We predict values for decays in different channels and show that their precise determination would allow to decide on the spin of the states.