2022 Ab initio calculation of charge symmetry breaking in A = 7 and 8 Λ -hypernuclei

The separation energies of the isospin triplet 7Λ He, 7Λ Li ∗ , 7Λ Be, and the T = 1 / 2 doublet 8Λ Li, 8Λ Be are investigated within the no-core shell model. Calculations are performed based on a hyperon-nucleon potential derived from chiral effective field theory at next-to-leading order. The potential includes the leading charge-symmetry breaking (CSB) interaction in the ΛN channel, whose strength has been fixed to the experimentally known difference of the Λ separation energies of the mirror hypernuclei 4Λ He and 4Λ H. It turns out that the CSB predicted for the A = 7 systems is small and agrees with the splittings deduced from the empirical binding energies within the experimental uncertainty. In case of the A = 8 doublet, the computed CSB is somewhat larger than the available experimental value. Using other experimental input for A = 4 can change this prediction moving it closer to experiment.

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