Hyperon single-particle potentials in nuclear matter based on baryon-baryon interactions derived within chiral effective field theory

TL;DR

This paper investigates hyperon single-particle potentials in nuclear matter using chiral effective field theory interactions up to N$^2$LO, providing new insights into Lambda and Sigma potentials with improved constraints from recent experimental data.

Contribution

It introduces a chiral effective field theory approach up to N$^2$LO for hyperon-nucleon interactions and analyzes their impact on single-particle potentials within a self-consistent framework.

Findings

Lambda potential aligns with previous NLO results.

Sigma potential is weakly attractive, contrasting earlier repulsive findings.

Uncertainty estimates for the potentials are provided.

Abstract

An analysis of the Lambda and Sigma single-particle potentials is presented, based on YN interactions derived within chiral effective field theory up to next-to-next-to-leading order (N$^2$LO). The self-consistent Brueckner-Hartree-Fock framework is employed within the continuous choice for the single-particle potential. The result for the Lambda single-particle potential is comparable to the ones obtained with previous chiral YN interactions up to next-to-leading order (NLO). The Sigma single-particle potential is found weakly attractive, in contrast to earlier weakly repulsive results, reflecting new constraints from the recent J-PARC E40 data on $\Sigma^+p$ scattering. An estimate of the theoretical uncertainty of the single-particle potentials is provided.