Coupled channels approach to $\eta N$ and $\eta' N$ interactions
Abstract
We present a coupled channels separable potential approach to and interactions using a chiral-symmetric interaction kernel. The s-wave amplitudes and induced total cross sections are reproduced satisfactorily in a broad interval of energies despite limiting the channel space to two-body interactions of pseudoscalar mesons with the baryon ground-state octet. It is demonstrated that an explicit inclusion of the meson singlet field leads to a more attractive interaction, with the real part of the scattering length exceeding 1 fm. The diagonal coupling appears sufficient to generate an bound state but the inter-channel dynamics moves the respective pole far from physical region making the interaction repulsive at energies around the channel threshold. The and resonances are generated dynamically and the origin and properties of the -matrix poles assigned to them are studied in detail. We also hint at a chance that the state might also be formed provided a suitably varied model setting is found.
Keywords
Cite
@article{arxiv.1903.10350,
title = {Coupled channels approach to $\eta N$ and $\eta' N$ interactions},
author = {Ales Cieply and Peter C. Bruns},
journal= {arXiv preprint arXiv:1903.10350},
year = {2020}
}
Comments
51 pages, 16 figures, version accepted for publication in Nucl. Phys. A (fitting procedure altered with respect to previous version resulting in new fits, that provide results very similar to the previous ones, and conclusions remain the same)