Kaon-Nucleon potential from lattice QCD

H. Nemura (Tohoku U.); K. Murano (Tsukuba U.); K. Sasaki (Tsukuba U.); N. Ishii (Tokyo U.); S. Aoki (Tsukuba U.); T. Doi (Tsukuba U.); T. Hatsuda (Tokyo U.); T. Inoue (Tsukuba U.); Y. Ikeda (Tokyo U. & RIKEN)

Kaon-Nucleon potential from lattice QCD

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arxiv 1002.2309 v2 pith:FWKGVPOA submitted 2010-02-11 hep-lat

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.)

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K. Sasaki (Tsukuba U.)

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keywords latticepotentialpotentialschannelsrangeassociatedatomicattractive

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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 $KN$ scattering phase shifts are calculated and compared with the experimental data.

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$S$-wave kaon-nucleon interactions from lattice QCD at the physical point
hep-lat 2025-08 conditional novelty 6.0 of 10

First physical-point lattice QCD calculation of S-wave kaon-nucleon interactions finds no resonance or bound state, with scattering lengths -0.226(5) fm (I=1) and +0.031(62) fm (I=0).

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