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

DOI10.1093/PTEP/PTAA118zbMATH Open1477.81110arXiv2006.01383OpenAlexW3105368342MaRDI QIDQ5157610

Kotaro Murakami, Sinya Aoki, Yutaro Akahoshi

Publication date: 19 October 2021

Published in: PTEP. Progress of Theoretical and Experimental Physics (Search for Journal in Brave)

Abstract: 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 $aapprox0.09$ fm on $32^{3}imes64$ lattices and the pion mass $m_{pi}approx570$ 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 $I=0$. The phase shifts obtained by solving the Schr"{o}dinger equations with the potentials qualitatively reproduce the energy dependence of the experimental phase shifts, and have the similar behavior to the previous results from lattice QCD without all-to-all propagators. Our study demonstrates that the all-to-all quark propagator technique with the one-end trick is useful to study interactions for meson-baryon systems in the HAL QCD method, so that we will apply it to meson-baryon systems which contain quark-antiquark creation/annihilation processes in our future studies.

Full work available at URL: https://arxiv.org/abs/2006.01383

Mathematics Subject Classification ID

Nuclear physics (81V35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Strong interaction, including quantum chromodynamics (81V05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Discrete version of topics in analysis (39A12) Inelastic and multichannel quantum scattering (81U35)

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