Kaon-Nucleon potential from lattice QCD
Depertment of Physics, The University of Tokyo,
2 Nishina Center for Accelerator-Based Science, Institute for Physical and Cemical Research (RIKEN), Wako, Saitama 351-0198, Japan
3 Depertment of Pure and Applied Sciences, The University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan
4 Depertment of Physics, Tohoku University, Sendai, Miyagi 980-8578, Japan
a e-mail: email@example.com
We study the K N interactions in the I(Jπ) = 0(1/2−) and 1(1/2−) channels and associated exotic state Θ+ from 2+1 ﬂavor full lattice QCD simulation for relatively heavy quark mass corresponding to mπ = 871 MeV. The s-wave K N 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 K N scattering phase shifts are calculated and compared with the experimental data.
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