The $\hat{I}{\cdot }^{\prime }N$ interaction from the $\hat{I}{\cdot }^{\prime }p$ correlation function

Abstract

We evaluate for the first time the $\hat{I}{\cdot }^{\prime }p$ femtoscopic correlation function to study the $\hat{I}{\cdot }^{\prime }N$ interaction. We find it extremely sensitive to the value of the $\hat{I}{\cdot }^{\prime }p$ scattering length, for which at present there exists only very limited information, not even knowing its sign. The measurement of this correlation function would provide much valuable information on the $\hat{I}{\cdot }^{\prime }N$ interaction, which could then also be used to settle the issue of possible $\hat{I}{\cdot }^{\prime }$ nucleus bound states, an issue attracting much attention in the nuclear physics community.

7 pages, 3 figures, 2 tables