The “K−pp” system investigated with a fully coupled-channel complex scaling method

Abstract

In this article, we review our study of the K− pp, which is a prototype system of kaonic nuclei, with a fully coupled-channel complex scaling method (Full ccCSM). In the present study, i) the K−pp is treated as a resonant state of a K¯NN-πΣN-πΛN coupled-channel system, ii) a chiral SU(3)-based potential as well as a phenomenological potential is examined as a K¯N-πY potential, and iii) property of the K− pp is investigated by analyzing the wave function obtained with the Full ccCSM calculation. It is noted that the energy dependence involved in a chiral SU(3)-based potential is taken into account by considering the self-consistency for the meson-baryon energy. As a result, we have successfully found a resonant pole corresponding to the K− pp on the complex energy plane, and compared it with the latest experimental result reported by J-PARC E15 group. Furthermore, we have considered an energy-fixed case of a chiral SU(3) potential and also the effect of kinematics of mesons by examining the semi-relativistic calculation.