The reaction $\ddot{I}€N\to \ddot{I}‰N$ in a dynamical coupled-channel approach

Abstract

A refined investigation on light flavor meson-baryon scatterings is performed using a dynamical coupled-channel approach, the Jülich-Bonn model, that respects unitartiy and analyticity constraints. The channel space of $\ddot{I}€N$, $\ddot{I}€\hat{I}”$, $\ddot{I}ƒN$, $\ddot{I}N$, $\hat{I}\cdot N$, $K\hat{I}›$ and $K\hat{I}\pounds$ is extended by adding the $\ddot{I}‰N$ final state. The spectra of $N^{\ast }$ and $\hat{I}”$ resonances are extracted in terms of complex poles of the scattering amplitudes, based on the result of a global fit to a worldwide collection of data, in the energy region from the $\ddot{I}€N$ threshold to center-of-mass energy $z=2.3$ GeV. A negative value of the $\ddot{I}‰N$ elastic spin-averaged scattering length is extracted, questioning the existence of bound states of the $\ddot{I}‰$ meson in the nuclear matter.

23 pages, 16 figures, one supplemental material