Hypernuclear single particle spectra based on in-medium chiral SU(3) dynamics

Abstract

A previously derived relativistic energy density functional for nuclei, based on low-energy in-medium chiral dynamics, is generalized to implement constraints from chiral SU(3) effective field theory and applied to $\Lambda$ hypernuclei. Density-dependent central and spin-orbit mean fields are calculated for a $\Lambda$ hyperon using the SU(3) extension of in-medium chiral perturbation theory to two-loop order. Long range $\Lambda N$ interactions arise from kaon-exchange and from two-pion-exchange with a $\Sigma$ hyperon in the intermediate state. Short-distance dynamics is encoded in contact interactions. They include scalar and vector mean fields reflecting in-medium changes of quark condensates, constrained by QCD sum rules. The $\Lambda$ single particle orbitals are computed for a series of hypernuclei from ${}_{\Lambda }^{13}$C to ${}_{\Lambda }^{208}$Pb. The role of a surface (derivative) term is studied. Its strength is found to be compatible with a corresponding estimate from in-medium chiral perturbation theory. Very good agreement with hypernuclear spectroscopic data is achieved. The smallness of the $\Lambda$-nuclear spin-orbit interaction finds a natural explanation in terms of an almost complete cancellation between short-range scalar/vector contributions and longer range terms generated by two-pion exchange.

30 pages, 5 figures, elsart class, minor corrections, to be published in Nuclear Physics A

References in corpus (12)

• Modern Theory of Nuclear Forces
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Deformation of Lambda hypernuclei
• Binding of Hypernuclei in the Latest Quark-Meson Coupling Model
• In-medium chiral condensate beyond linear density approximation
• High Resolution Spectroscopy of 16N_Lambda by Electroproduction
• The relativistic self-energy in nuclear dynamics
• Chiral pion-nucleon dynamics in finite nuclei: spin-isospin excitations
• In-medium chiral SU(3) dynamics and hypernuclear structure
• Note on spin-orbit interactions in nuclei and hypernuclei
• The baryon-decuplet in the chiral dynamics of Lambda-hyperons in nuclear matter
• Hypernuclei and in-medium chiral dynamics

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• $\bar{\mathrm{D}}$ and $\mathrm{B}$ mesons in nuclear medium
• A study of Lambda hypernuclei within the Skyrme-Hartree-Fock Model
• Description of single-Lambda hypernuclei with relativistic point coupling model
• Strangeness nuclear physics - 2010
• Neutron-rich hypernuclei: Lambda-6H and beyond
• Triaxially deformed relativistic point-coupling model for $\Lambda$ hypernuclei: a quantitative analysis of hyperon impurity effect on nuclear collective properties
• New effective interactions for hypernuclei in density dependent relativistic mean field model
• Probing gluon dynamics by charm and bottom mesons in nuclear medium from heavy meson effective theory with 1/M-corrections
• $\Lambda \Lambda$ 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
• SU(3)_f Constraints on Hypernuclear Energy Density Functionals