Benchmarking $\Lambda$NN three-body forces and first predictions for A=3-5 hypernuclei

TL;DR

This paper benchmarks two partial-wave decomposition methods for hyperon-nucleon-nucleon three-body forces and provides initial predictions for their effects on the structure of hypernuclei with mass numbers 3 to 5.

Contribution

It introduces a detailed benchmark of partial-wave decomposition methods for -body forces and presents first quantitative estimates of their impact on hypernuclei.

Findings

Benchmark of two partial-wave decomposition methods for -body forces.

First quantitative assessment of -body forces on hypernuclei separation energies.

Identification of the importance of -body forces in hypernuclear structure.

Abstract

Explicit expressions for the leading chiral hyperon-nucleon-nucleon three-body forces have been derived by Petschauer et al [Phys. Rev. C93.014001 (2016)]. An important prerequisite for including these three-body forces in few- and many-body calculations is the accuracy and efficiency of their partial-wave decomposition. A careful benchmark of the {\Lambda}NN potential matrix elements, computed using two robust and efficient partial-wave decomposition methods, is presented. In addition, results of a first quantitative assessment for the contributions of $\Lambda$NN forces to the separation energies in A=3-5 hypernuclei are reported.