Hypernuclei and in-medium chiral dynamics
Abstract
Description
A recently introduced relativistic nuclear energy density functional, constrained by features of low-energy QCD, is extended to describe the structure of hypernuclei. The density-dependent mean field and the spin-orbit potential of a $Λ$-hyperon in a nucleus, are consistently calculated 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 a $Σ$-hyperon in the intermediate state. Scalar and vector mean fields, originating from in-medium changes of the quark condensates, produce a sizeable {\em short-range} spin-orbit interaction. The model, when applied to oxygen as a test case, provides a natural explanation for the smallness of the effective $Λ$ spin-orbit potential: an almost complete cancellation between the background contributions (scalar and vector) and the long-range terms generated by two-pion exchange.
8 pages and 6 figures. To appear in the proceedings of the Theoretical nuclear physics school "Exotic Nuclei: New Challenges", Les Houches (France) May 7-18, 2007
8 pages and 6 figures. To appear in the proceedings of the Theoretical nuclear physics school "Exotic Nuclei: New Challenges", Les Houches (France) May 7-18, 2007