Correlation function for the

R. Molina; Zhi-Wei Liu; Li-Sheng Geng; E. Oset

doi:10.1140/epjc/s10052-024-12694-w

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 328
https://doi.org/10.1140/epjc/s10052-024-12694-w

Regular Article - Theoretical Physics

Correlation function for the $a_{0} (980)$

R. Molina¹^a, Zhi-Wei Liu², Li-Sheng Geng²^,3^,4^,5 and E. Oset¹

¹ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Parc Científic UV, C/Catedrático José Beltrán, 2, 46980, Paterna, Spain
² School of Physics, Beihang University, 102206, Beijing, China
³ Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, 102206, Beijing, China
⁴ Peng Huanwu Collaborative Center for Research and Education, Beihang University, 100191, Beijing, China
⁵ Southern Center for Nuclear-Science Theory (SCNT) Institute of Modern Physics, Chinese Academy of Sciences, 516000, Huizhou, China

^a Raquel.Molina@ific.uv.es

Received: 25 January 2024
Accepted: 13 March 2024
Published online: 28 March 2024

Abstract

We have conducted a model independent analysis of the $K^{+} {\bar{K}}^{0}$ $K^+ \bar{K}^0$ pair correlation function obtained from ultra high energy pp collisions, with the aim of extracting the information encoded in it related to the $K \bar{K}$ $K\bar{K}$ interaction and the coupled channel $π^{+} η$ $\pi ^+ \eta$ . With the present large errors at small relative $K^{+} {\bar{K}}^{0}$ $K^+\bar{K}^0$ momenta, we find that the information obtained about the scattering matrix suffers from large uncertainties. Even then, we are able to show that the data imply the existence of the $a_{0}$ $$a_0$$ resonance, $a_{0} (980)$ $$a_0(980)$$ , showing as a strong cusp close to the $K \bar{K}$ $K\bar{K}$ threshold. We also mention that the measurement of the $π^{+} η$ $\pi ^+ \eta$ correlation function will be essential in order to constrain more the information on $K \bar{K}$ $K\bar{K}$ dynamics that can be obtained from correlation functions.

© The Author(s) 2024

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