In-medium chiral [formula omitted] dynamics and hypernuclear structure

Abstract

A previously introduced relativistic energy density functional, successfully applied to ordinary nuclei, is extended to hypernuclei. The density-dependent mean field and the spin–orbit potential are consistently calculated for a Λ hyperon in the nucleus using the SU(3) extension of in-medium chiral perturbation theory. The leading long range ΛN interaction arises from kaon-exchange and 2π-exchange with Σ hyperon in the intermediate state. Scalar and vector mean fields reflecting in-medium changes of the quark condensates are constrained by QCD sum rules. The model, applied to oxygen as a test case, describes spectroscopic data in good agreement with experiment. In particular, the smallness of the Λ spin–orbit interaction finds a natural explanation in terms of an almost complete cancellation between scalar–vector background contributions and long-range terms generated by two-pion exchange.