Hyperon–nucleon interaction within chiral effective field theory revisited

J. Haidenbauer; U.-G. Meißner; A. Nogga

doi:10.1140/epja/s10050-020-00100-4

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2023 Impact factor 2.6

Hadrons and Nuclei

The tower of effective (field) theories and the emergence of nuclear phenomena

Open Access

Eur. Phys. J. A (2020) 56: 91
https://doi.org/10.1140/epja/s10050-020-00100-4

Regular Article - Theoretical Physics

Hyperon–nucleon interaction within chiral effective field theory revisited

J. Haidenbauer²^*, U.-G. Meißner¹^,2^,3 and A. Nogga²

¹ Helmholtz Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
² Institute for Advanced Simulation, Institut für Kernphysik (Theorie) and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany
³ Tbilisi State University, 0186, Tbilisi, Georgia

^* e-mail: j.haidenbauer@fz-juelich.de

Received: 28 June 2019
Accepted: 30 September 2019
Published online: 19 March 2020

Abstract

The $\varLambda N$ and $\varSigma N$ interactions are considered at next-to-leading order in SU(3) chiral effective field theory. Different options for the low-energy constants that determine the strength of the contact interactions are explored. Two variants are analysed in detail which yield equivalent results for $\varLambda N$ and $\varSigma N$ scattering observables but differ in the strength of the $\varLambda N \rightarrow \varSigma N$ transition potential. The influence of this difference on predictions for light hypernuclei and on the properties of the $\varLambda$ and $\varSigma$ hyperons in nuclear matter is investigated and discussed. The effect of the variation in the potential strength of the $\varLambda N$ - $\varSigma N$ coupling (also called $\varLambda -\varSigma$ conversion) is found to be moderate for the considered $^3_\varLambda {{\mathrm{H}}}$ and $^4_\varLambda \mathrm{He}$ hypernuclei but sizable in case of the matter properties. Further, the size of three-body forces and their relation to different approaches to hypernuclear interactions is discussed.