Low-lying magnetic excitations of doubly-closed-shell nuclei and nucleon-nucleon effective interactions

Abstract

We have studied the low lying magnetic spectra of 12C, 16O, 40Ca, 48Ca and 208Pb nuclei within the Random Phase Approximation (RPA) theory, finding that the description of low-lying magnetic states of doubly-closed-shell nuclei imposes severe constraints on the spin and tensor terms of the nucleon-nucleon effective interaction. We have first made an investigation by using four phenomenological effective interactions and we have obtained good agreement with the experimental magnetic spectra, and, to a lesser extent, with the electron scattering responses. Then we have made self-consistent RPA calculations to test the validity of the finite-range D1 Gogny interaction. For all the nuclei under study we have found that this interaction inverts the energies of all the magnetic states forming isospin doublets.

19 pages, 13 figures, 7 tables, accepted for publication in Phys. Rev. C

References in corpus (4)

• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• Study of the effect of neutrino oscillations on the supernova neutrino signal in the LVD detector
• Neutrino-Nucleus Reactions and Muon Capture in 12C
• Neutrino cross sections and nuclear structure

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• Effects of the Tensor Force on the Multipole Response in Finite Nuclei
• Tensor and tensor-isospin terms in the effective Gogny interaction
• Tensor effective interaction in self-consistent Random Phase Approximation calculations
• Self-consistent Continuum Random Phase Approximation calculations with finite-range interactions
• Evolution of the pygmy dipole resonance in nuclei with neutron excess
• Description of nuclear systems with a self-consistent configuration-mixing approach. I: Theory, algorithm, and application to the ${}^{12}$C test nucleus
• Magnetic excitations in nuclei with neutron excess
• Self-consistent continuum random-phase approximation with finite-range interactions for charge-exchange excitations
• Charge-exchange excitations with finite range interactions including tensor terms
• Effective tensor forces and neutron rich nuclei
• Effect of short- and long-range correlations on neutron skins of various neutron-rich doubly magic nuclei