Energy dependence of K − -“pp” effective potential derived from coupled-channel Green’s function

We investigate the energy dependence of a single-channel effective potential between the K − and the “pp”-core nucleus, which can be obtained as an K −-“pp” equivalent local potential from a coupled-channel model for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\bar{K}(NN)$\end{document}-π(ΣN) systems. It turns out that the imaginary part of the resultant potential near the πΣN decay threshold can well approximate the phase space suppression factor of K − pp →πΣN decay modes. The effects on the pole position of the π(ΣN) state in the πΣN channel are also discussed.