English

Correlation function for the $a_0(980)$

High Energy Physics - Phenomenology 2023-12-20 v1 High Energy Physics - Experiment

Abstract

We have conducted a model independent analysis of the K+Kˉ0K^+ \bar{K}^0 pair correlation function obtained from ultra high energy pppp collisions, with the aim of extracting the information encoded in it related to the KKˉK\bar{K} interaction and the coupled channel π+η\pi^+ \eta. With the present large errors at small relative K+Kˉ0K^+\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 a0a_0 resonance, a0(980)a_0(980), showing as a strong cusp close to the KKˉK\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 KKˉK\bar{K} dynamics that can be obtained from correlation functions.

Keywords

Cite

@article{arxiv.2312.11993,
  title  = {Correlation function for the $a_0(980)$},
  author = {R. Molina and Zhi-Wei Liu and Li-Sheng Geng and E. Oset},
  journal= {arXiv preprint arXiv:2312.11993},
  year   = {2023}
}

Comments

7 pages, 9 figures

R2 v1 2026-06-28T13:55:50.030Z