Eur. Phys. J. C (2024) 84: 656
https://doi.org/10.1140/epjc/s10052-024-13015-x

Regular Article - Theoretical Physics

Contrasting observables related to the $N^{\ast }(1535)$ from the molecular or a genuine structure

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

^b Song-Jing@buaa.edu.cn

Received: 8 February 2024
Accepted: 11 June 2024
Published online: 2 July 2024

Abstract

In this work we compare the predictions for the scattering length and effective range of the channels $K^0{\mathrm{\Sigma }}^{+},K^{+}{\mathrm{\Sigma }}^0,K^{+}\mathrm{\Lambda }$ and $\eta p$, assuming the $N^{\ast }(1535)$ state as a molecular state of these channels, or an original genuine state, made for instance from three quarks. Looking at very different scenarios, what we conclude is that the predictions of these two pictures are drastically different, to the point that we advise the measurement of these magnitudes, accessible for instance by measuring correlation functions, in order to gain much valuable information concerning the nature of this state.