Papers › Systematics of the HAL QCD Potential at Low Energies in Lattice QCD

Systematics of the HAL QCD Potential at Low Energies in Lattice QCD

7 May 2018arXiv:1805.02365links table onlyarchive 2025-07-28

Takumi Iritani, Sinya Aoki, Takumi Doi, Shinya Gongyo, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Noriyoshi Ishii, Hidekatsu Nemura, Kenji Sasaki

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The ΞΞ interaction in the ¹S₀ channel is studied to examine the convergence of the derivative expansion of the non-local HAL QCD potential at the next-to-next-to-leading order (N²LO). We find that (i) the leading order potential from the N²LO analysis gives the scattering phase shifts accurately at low energies, (ii) the full N²LO potential gives only small correction to the phase shifts even at higher energies below the inelastic threshold, and (iii) the potential determined from the wall quark source at the leading order analysis agrees with the one at the N²LO analysis except at short distances, and thus, it gives correct phase shifts at low energies. We also study the possible systematic uncertainties in the HAL QCD potential such as the inelastic state contaminations and the finite volume artifact for the potential and find that they are well under control for this particular system.

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