P_c(4440) and P_c(4457) decay into DΣ_c and DΛ_c and the spin of the P_c states

2024/12/20 by Yang, Zi-Ying, Song, Jing, Liang, Wei-Hong +1
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2412.15731

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/ψN, D Σ_c and D Λ_c with the first one obtained within a unitary approach with the coupled channels of J/ψN and D^* Σ_c with the interaction driven by vector meson exchange, and the last two by means of triangle diagrams involving pion exchange which break the spin degeneracy of the vector meson 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. We predict values for decays in different channels and show that their determination would allow to decide unambiguously the spin of the states.

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