Benchmarking NN three-body forces and first predictions for hypernuclei

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 $$ NN potential matrix elements, computed using two robust and efficient partial-wave decomposition methods, is presented. In addition, results of a first quantitative assessment for the contributions of $$ NN forces to the separation energies in $$ hypernuclei are reported.