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$S$ -wave kaon-nucleon interactions from lattice QCD at the physical point

Kotaro Murakami ^1,2,*, Sinya Aoki ^3,4, Takumi Doi ², Yan Lyu ², and Wren Yamada ² (HAL QCD Collaboration)

¹Department of Physics, Institute of Science Tokyo, 2-12-1 Ookayama, Megro, Tokyo 152-8551, Japan
²RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences(iTHEMS), RIKEN, Wako 351-0198, Japan
³Fundamental Quantum Science Program (FQSP), TRIP Headquarters, RIKEN, Wako 351-0198, Japan
⁴Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan

^*Contact author: kotaro.murakami@yukawa.kyoto-u.ac.jp

Phys. Rev. D 113, 054506 – Published 16 March, 2026Erratum Phys. Rev. D 114, 039903 (2026)

DOI: https://doi.org/10.1103/6l11-8x8m

Abstract

We investigate S-wave kaon-nucleon ( $K N$ ) interactions with strangeness $S = + 1$ in lattice QCD using the time-dependent HAL QCD method. Employing the ( $2 + 1$ )-flavor gauge configuration with $m_{π} \approx 137 MeV$ and $m_{K} \approx 502 MeV$ , we calculate the $K N$ potentials at the leading order in the derivative expansion. The potentials in both isospin channels ( $I = 1$ and $I = 0$ ) exhibit repulsion at short distances, while only the $I = 0$ potential has a small attractive pocket at intermediate distances. The phase shifts computed from these potentials show no signals corresponding to resonances or bound states in both isospin channels, suggesting the absence of the $Θ^{+} (1540)$ pentaquark in the S-wave $K N$ systems. The scattering lengths result in $a_{0}^{I = 1} = - 0.226 (5) (_{- 0}^{+ 5}) fm$ and $a_{0}^{I = 0} = + 0.028 (61) (_{- 26}^{+ 3}) fm$ . Our results of the S-wave cross sections for $I = 1$ are consistent with some of the experimental data within $2 - 3 σ$ , while they deviate from others. The results for $I = 0$ , combined with recent studies on chiral perturbation theory, suggest that the scattering amplitudes in this channel are dominated by P-wave components rather than S-wave.

Physics Subject Headings (PhySH)

Erratum

Erratum: $S$ -wave kaon-nucleon interactions from lattice QCD at the physical point [Phys. Rev. D 113, 054506 (2026)]

Kotaro Murakami, Sinya Aoki, Takumi Doi, Yan Lyu, and Wren Yamada (HAL QCD Collaboration)

Phys. Rev. D 114, 039903 (2026)

Article Text

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Phys. Rev. D 113, 054506– Published 16 March, 2026

Vol. 113, Iss. 5 — 1 March 2026

Received 8 September 2025
Accepted 11 February 2026

DOI: https://doi.org/10.1103/6l11-8x8m

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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$S$ -wave kaon-nucleon interactions from lattice QCD at the physical point

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: $S$ -wave kaon-nucleon interactions from lattice QCD at the physical point [Phys. Rev. D 113, 054506 (2026)]

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S-wave kaon-nucleon interactions from lattice QCD at the physical point

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: S-wave kaon-nucleon interactions from lattice QCD at the physical point [Phys. Rev. D 113, 054506 (2026)]

Article Text

References (52)

$S$ -wave kaon-nucleon interactions from lattice QCD at the physical point

Erratum: $S$ -wave kaon-nucleon interactions from lattice QCD at the physical point [Phys. Rev. D 113, 054506 (2026)]