Eur. Phys. J. C (2024) 84: 1253
https://doi.org/10.1140/epjc/s10052-024-13616-6

Regular Article

Explore the properties of $\mathrm{\Lambda }(1670)$ in the Cabibbo-favored process ${\mathrm{\Lambda }}_c^{+}\to p{K}^{-}{\pi }^{+}$

¹ School of Physics and Electronics, Henan University, 475004, Kaifeng, China
² School of Physics, Southeast University, 210094, Nanjing, China
³ School of Physics, Zhengzhou University, 450001, Zhengzhou, China
⁴ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, 46071, Valencia, Spain

^a wangguanying@henu.edu.cn

Received: 8 September 2024
Accepted: 14 November 2024
Published online: 3 December 2024

Abstract

Recently, the Belle and LHCb Collaborations have measured the ${\mathrm{\Lambda }}_c^{+}\to p{K}^{-}{\pi }^{+}$ decay and reported the $K^{-}p$ invariant mass distribution, which shows a clear cusp structure around the $\eta \mathrm{\Lambda }$ threshold. In this work, we have analyzed this process by considering the triangle mechanism and the S-wave pseudoscalar meson-octet baryon interactions within the chiral unitary approach, which dynamically generates the $\mathrm{\Lambda }(1670)$. Our results are in good agreement with the Belle measurements, which implies that the cusp structure around $\eta \mathrm{\Lambda }$ threshold could be associated with the $\mathrm{\Lambda }(1670)$ with the molecular nature.