Tensor correlation, pairing interaction and deformation in Ne isotopes and Ne hypernuclei

Abstract

We study tensor and pairing effects on the quadruple deformation of neon isotopes based on a deformed Skyrme-Hartree-Fock model with BCS approximation for the pairing channel. We extend the Skyrme-Hartree-Fock formalism for the description of single- and double-lambda hypernuclei adopting two different hyperon-nucleon interactions. It is found that the interplay of pairing and tensor interactions is crucial to derive the deformations in several neon isotopes. Especially, the shapes of ${}^{26,30}$Ne are studied in details in comparisons with experimentally observed shapes. Furthermore the deformations of the hypernuclei are compared with the corresponding neon isotopic cores in the presence of tensor force. We find the same shapes with somewhat smaller deformations for single $\Lambda$-hypernuclei compared with their core deformations. It is also pointed out that the latest version of hyperon interaction, the ESC08b model, having a deeper $\Lambda$ potential makes smaller deformations for hypernuclei than those of another NSC97f model.

13 pages, 5 figures, Physical Review C 2013 in press

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Cited by in corpus (12)

• Microscopic particle-rotor model for low-lying spectrum of Lambda hypernuclei
• Triaxially deformed relativistic point-coupling model for $\Lambda$ hypernuclei: a quantitative analysis of hyperon impurity effect on nuclear collective properties
• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Hyperon halo structure of C and B isotopes
• Quark mean-field model for single and double $\Lambda$ and $\Xi$ hypernuclei
• Quark mean field model with pion and gluon corrections for $\Lambda ,{\Xi }^0$ hypernuclei and neutron stars
• Low-energy hypernuclear spectra with microscopic particle-rotor model with relativistic point coupling hyperon-nucleon interaction
• The $\Xi N$ interaction constrained by recent ${\Xi }^{-}$ hypernuclei experiments
• A relativistic mean field study of multi-strange system
• Single ${\Lambda }_c^{+}$ hypernuclei within quark mean-field model
• The phase transition in hot $\Lambda$ hypernuclei within relativistic Thomas-Fermi approximation
• Exploring Hyperon Skyrme Forces in Multi-$\Lambda$ Hypernuclei and Neutron Star Matter