S-wave kaon-nucleon potentials with all-to-all propagators in the HAL QCD method

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In this paper, employing an all-to-all quark propagator technique, we investigate the kaon-nucleon interactions in lattice QCD.

• We calculate the S-wave kaon-nucleon potentials at the leading order in the derivative expansion in the time-dependent HAL QCD method, using (2+1)-flavor gauge configurations at the lattice spacing $a \approx 0.09$ fm on $32^3 \times 64$ lattices and the pion mass $m_{\pi} \approx 570$ MeV.
• We take the one-end trick for all-to-all propagators, which allows us to put the zero momentum hadron operators at both source and sink and to smear quark operators at the source.
• We find the stronger repulsive interaction in the $I=1$ channel than in the $I=0$.