Charge symmetry breaking in light $\Lambda$ hypernuclei

Abstract

Charge symmetry breaking (CSB) is particularly strong in the A=4 mirror hypernuclei ${}_{\Lambda }^4$H--${}_{\Lambda }^4$He. Recent four-body no-core shell model calculations that confront this CSB by introducing $\Lambda$-${\Sigma }^0$ mixing to leading-order chiral effective field theory hyperon-nucleon potentials are reviewed, and a shell-model approach to CSB in p-shell $\Lambda$ hypernuclei is outlined.

Comments: presented by A. Gal at the 12th International Seminar on Nuclear Physics, Sant'Angelo d'Ischia, May 15-19 2017; prepared for J. Phys. Conf.; v2 -- slightly expanded version