%0 Journal Article %A Haidenbauer, Johann %A Meißner, Ulf-G. %A Nogga, Andreas %T Constraints on the $\varLambda $-neutron Interaction from Charge Symmetry Breaking in the $\mathbf {^4_\Lambda \mathrm{He}}$ - $\mathbf {^4_\Lambda \mathrm{H}}$ Hypernuclei %J Few-body systems %V 62 %N 4 %@ 0177-7963 %C Wien [u.a.] %I Springer %M FZJ-2021-04349 %P 105 %D 2021 %X We utilize the experimentally known difference of the Λ separation energies of the mirror hypernuclei 4ΛHe and 4ΛH to constrain the Λ-neutron interaction. We include the leading charge-symmetry breaking (CSB) interaction into our hyperon-nucleon interaction derived within chiral effective field theory at next-to-leading order. In particular, we determine the strength of the two arising CSB contact terms by a fit to the differences of the separation energies of these hypernuclei in the 0+ and 1+ states, respectively. By construction, the resulting interaction describes all low energy hyperon-nucleon scattering data, the hypertriton and the CSB in 4ΛHe-4ΛH accurately. This allows us to provide first predictions for the Λn scattering lengths, based solely on available hypernuclear data. %F PUB:(DE-HGF)16 %9 Journal Article %U <Go to ISI:>//WOS:000707365200006 %R 10.1007/s00601-021-01684-3 %U https://juser.fz-juelich.de/record/902548