In-medium chiral SU(3) 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 $\Lambda$ 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.

10 pages, 2 figures, elsart class. Minor revisions

References in corpus (18)

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• QCD Sum Rules and Applications to Nuclear Physics
• Chiral Dynamics and Nuclear Matter
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• Chiral SU(3) dynamics and $\Lambda$-hyperons in the nuclear medium
• The relativistic self-energy in nuclear dynamics
• Three-body spin-orbit forces from chiral two-pion exchange
• Chiral pion-nucleon dynamics in finite nuclei: spin-isospin excitations
• The baryon-decuplet in the chiral dynamics of Lambda-hyperons in nuclear matter

Cited by in corpus (12)

• Modern Theory of Nuclear Forces
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Hypernuclear single particle spectra based on in-medium chiral SU(3) dynamics
• Lambda hypernuclei and neutron star matter in a chiral SU(3) relativistic mean field model with a logarithmic potential
• Density Functional approach for multi-strange hypernuclei: competition between $\Lambda$ and ${\Xi }^{0,-}$ hyperons
• Note on spin-orbit interactions in nuclei and hypernuclei
• $\Lambda \Lambda$ pairing in multi-strange hypernuclei
• Alpha-clustered hypernuclei and chiral SU(3) dynamics
• Contribution of the rho meson and quark sub-structure to the nuclear spin-orbit potential
• Spin-orbit coupling rule in bound fermions systems
• Effects of Finite Temperature and Pairing Correlations in Multi-$\Lambda$ Hypernuclei
• Hypernuclei and in-medium chiral dynamics