Charge symmetry breaking in the A=4 hypernuclei

Abstract

Charge symmetry breaking (CSB) in the $\Lambda$-nucleon strong interaction generates a charge dependence of $\Lambda$ separation energies in mirror hypernuclei, which in the case of the $A=4$ mirror hypernuclei $0^{+}$ ground states is sizable, $\Delta B_{\Lambda }^{J=0}\equiv B_{\Lambda }^{J=0}{(}_{\Lambda }^4\mathrm{He})-B_{\Lambda }^{J=0}{(}_{\Lambda }^4\mathrm{H})=230\pm 90$ keV, and of opposite sign to that induced by the Coulomb repulsion in light hypernuclei. Recent ab-initio calculations of the (${}_{\Lambda }^4\mathrm{H},{}_{\Lambda }^4\mathrm{He}$) mirror hypernuclei $0_{g.s.}^{+}$ and $1_{\mathrm{exc}}^{+}$ levels have demonstrated that a $\Lambda -{\Sigma }^0$ mixing CSB model due to Dalitz and von Hippel (1964) is capable of reproducing this large value of $\Delta B_{\Lambda }^{J=0}$. These calculations are discussed here with emphasis placed on the leading-order chiral EFT hyperon-nucleon strong-interaction Bonn-Juelich potential model used and the no-core shell-model calculational scheme applied. The role of one-pion exchange in producing sizable CSB level splittings in the $A=4$ mirror hypernuclei is discussed.

this v4 version matches the version published in the NPA Special Issue on Recent Progress in Strangeness and Charm in Hadronic and Nuclear Physics, plus (i) an added footnote #4 on OPE CSB contributions, and (ii) an added Appendix A on the present NCSM application to hypernuclei

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