In-medium chiral SU(3) dynamics and hypernuclear structure

Details In-medium chiral SU(3) dynamics and hypernuclear structure In-medium chiral SU(3) dynamics and hypernuclear structure

2007-07-23

arxiv.org/abs/0707.3389v2

Phys.Lett.B658:90-94,2007

Physics

Nuclear Physics

Nuclear Theory

10 pages, 2 figures, elsart class. Minor revisions

Scientific paper

10.1016/j.physletb.2007.09.070

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 $\Lambda$ hyperon in the nucleus using the SU(3) extension of in-medium chiral perturbation theory. The leading long range $\Lambda N$ interaction arises from kaon-exchange and $2\pi$-exchange with $\Sigma$ 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 $\Lambda$ 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.

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