Constraints on the Lambda-neutron interaction from charge-symmetry breaking of A=4 hypernuclei

TL;DR

This paper incorporates charge symmetry breaking effects into hyperon-nucleon interactions within chiral effective field theory, enabling the first prediction of Lambda-neutron scattering lengths from experimental data.

Contribution

It introduces a method to determine Lambda-neutron scattering lengths using charge symmetry breaking in hypernuclei, based on chiral effective field theory up to next-to-leading order.

Findings

Predicted Lambda-neutron scattering lengths for the first time.

Quantified uncertainties in the predictions.

Connected hypernuclear data to fundamental scattering parameters.

Abstract

We include the leading charge symmetry breaking contributions into the hyperon-nucleon interactions derived within chiral effective field theory up to next-to-leading order. Two low energy constants are determined using the experimentally known differences of Lambda separation energies of 4-Lambda-He and 4-Lambda-H. This allows one to predict the Lambda-neutron scattering lengths for the first time based on data. Various sources of uncertainty are discussed.