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Studying the $K Λ$ strong interaction using femtoscopic correlation functions and the $N^{*} (1535)$

¹State Key Laboratory of Heavy Ion Science and Technology, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
²School of Nuclear Sciences and Technology, University of Chinese Academy of Sciences, Beijing 101408, China
³Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, China

^*Contact author: xiejujun@impcas.ac.cn

Phys. Rev. D 112, 034027 – Published 25 August, 2025

DOI: https://doi.org/10.1103/yrdv-jg6b

Abstract

We investigate the $K Λ$ strong interaction dynamics around the energy region of $N^{*} (1535)$ resonance through femtoscopic correlation functions within the Koonin-Pratt formalism, where coupled-channel effects of $π N$ , $K Λ$ , $K Σ$ and $η N$ channels are taken into account, by means of which the $N^{*} (1535)$ resonance can be dynamically generated in the chiral unitary approach. Two-body scattering amplitudes are calculated using the chiral unitary approach, and the corresponding wave functions and correlation functions are obtained. Our analysis shows that the $π N$ channel becomes important to the $K^{+} Λ$ correlation function through coupled channel effects, even if its mass threshold is far from the energy region of the $N^{*} (1535)$ . Furthermore, with the picture that the $N^{*} (1535)$ is a dynamically generated state, we can get a good reproduction of the experimental data on the $K^{+} Λ$ correlation function. This work establishes femtoscopic correlation functions as a sensitive probe for coupled-channel dynamics and validates the Koonin-Pratt framework in multichannel hadronic systems, offering critical insights into some exotic hadron states and strong interaction mechanisms.

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Phys. Rev. D 112, 034027– Published 25 August, 2025

Vol. 112, Iss. 3 — 1 August 2025

Received 14 May 2025
Accepted 29 July 2025

DOI: https://doi.org/10.1103/yrdv-jg6b

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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Studying the $K Λ$ strong interaction using femtoscopic correlation functions and the $N^{*} (1535)$

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Studying the KΛ strong interaction using femtoscopic correlation functions and the N*(1535)

Abstract

Physics Subject Headings (PhySH)

Article Text

References (79)

Studying the $K Λ$ strong interaction using femtoscopic correlation functions and the $N^{*} (1535)$