Eur. Phys. J. C (2025) 85: 808
https://doi.org/10.1140/epjc/s10052-025-14466-6

Regular Article - Theoretical Physics

The $D_{s1}(2460)\to D_s{\pi }^{+}{\pi }^{-}$ decay from a $D_{s1}$ molecular perspective

¹ Departamento de Física, Universidad de Murcia, 30100, Murcia, Spain
² Departamento de Física, Universidade Federal do Piauí, 64049-550, Teresina, Piauí, Brazil
³ Department of Physics, Guangxi Normal University, 541004, Guilin, China
⁴ Departamento de Física Teórica e IFIC, Institutos de Investigacion de Paterna, Centro Mixto Universidad de Valencia-CSIC, Apdo 22085, 46071, Valencia, Spain

^a luisroca@um.es

Received: 5 March 2025
Accepted: 23 June 2025
Published online: 26 July 2025

Abstract

We conduct a theoretical study of the $D_{s1}(2460)\to D_s{\pi }^{+}{\pi }^{-}$ decay from the perspective that the $D_{s1}$ is a molecular state, built mostly from the $D^{\ast }K$ and $D_s^{\ast }\eta$ components. The $D^{\ast }$ and $D_s^{\ast }$ mesons are allowed to decay into two pseudoscalars, with one of them merging with the other pseudoscalar that forms the $D_{s1}$ state, ultimately leading to the ${\pi }^{+}{\pi }^{-}{D}_s$ final state. This results in a triangle diagram mechanism where all theoretical ingredients are well-known, leading to a free parameter framework. We evaluate the mass distributions of particle pairs and find good agreement with the experimental distributions of a recent LHCb experiment, providing strong support to the molecular picture of the $D_{s1}(2460)$ state. We also discuss the role played by the scalar mesons $f_0(500)$ and $f_0(980)$, at odds with the interpretation of the experimental analysis.