Eur. Phys. J. C (2025) 85: 513
https://doi.org/10.1140/epjc/s10052-025-14246-2

Regular Article - Theoretical Physics

Determination of the $K^{+}{\overline{K}}^0$ scattering length and effective range from the $D^{+}\to {\overline{K}}^0{\pi }^{+}\eta$ reaction

¹ School of Physics, Beihang University, 102206, Beijing, China
² Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, 46071, Valencia, Spain
³ Department of Physics, Guangxi Normal University, 541004, Guilin, China
⁴ Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, 541004, Guilin, China

^a song-jing@buaa.edu.cn

Received: 13 March 2025
Accepted: 28 April 2025
Published online: 9 May 2025

Abstract

We study the scattering parameters of the $K^{+}{\overline{K}}^0$ system through the analysis of the $D^{+}\to {\overline{K}}^0{\pi }^{+}\eta$ reaction, aiming at determining the scattering length $a$ and effective range $r_0$ of the $K^{+}{\overline{K}}^0$ interaction. These parameters are extracted by analyzing and fitting the mass distributions of the pairs in the final ${\overline{K}}^0{\pi }^{+}\eta$ state. To ensure the reliability of the results, we apply resampling techniques to evaluate statistical uncertainties and improve the precision of the scattering parameters. The obtained results are compared with previous theoretical predictions and experimental data, providing new insights into the $K^{+}{\overline{K}}^0$ interaction at low energies.