arXiv:1002.2309·v2·High Energy Physics — Lattice
Kaon-Nucleon potential from lattice QCD
Y. Ikeda (Tokyo U. & RIKEN)🇯🇵 · S. Aoki (Tsukuba U.)🇯🇵 · T. Doi (Tsukuba U.)🇯🇵 · T. Hatsuda (Tokyo U.)🇯🇵 · T. Inoue (Tsukuba U.)🇯🇵 · N. Ishii (Tokyo U.)🇯🇵 · K. Murano (Tsukuba U.)🇯🇵 · H. Nemura (Tohoku U.)🇯🇵 · K. Sasaki (Tsukuba U.)🇯🇵
Abstract
We study the KN interactions in the I(J^{\pi})=0(1/2^-) and 1(1/2^-) channels and associated exotic state \Theta^+ from 2+1 flavor full lattice QCD simulation for relatively heavy quark mass corresponding to m_{\pi}=871 MeV. The s-wave KN potentials are obtained from the Bethe-Salpeter wave function by using the method recently developed by HAL QCD (Hadrons to Atomic nuclei from Lattice QCD) Collaboration. Potentials in both channels reveal short range repulsions: Strength of the repulsion is stronger in the I=1 potential, which is consistent with the prediction of the Tomozawa-Weinberg term. The I=0 potential is found to have attractive well at mid range. From these potentials, the scattering phase shifts are calculated and compared with the experimental data.
Comments: Talk given at 19th International IUPAP Conference on Few-Body Problems in Physics (fb19), Bonn, Germany, 30 Aug - 5 Sep 2009