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.

arXiv comment19 pages, 13 figures, 7 tables, accepted for publication in Phys. Rev. C

References in corpus (15)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• Evidence for nu_mu -> nu_e Oscillations from Pion Decay in Flight Neutrinos
• Effective density dependent pairing forces in the T=1 and T=0 channels
• Microscopic theories of neutrino-^{12}C reactions
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• Neutrino-12C scattering in the ab initio shell model with a realistic three-body interaction
• Renormalized Fermi hypernetted chain approach in medium-heavy nuclei
• The Search for Neutrino Oscillations numubar->nuebar with KARMEN
• Study of the effect of neutrino oscillations on the supernova neutrino signal in the LVD detector
• Neutrino-Nucleus Reactions and Muon Capture in 12C
• Tensor interaction in Hartree--Fock calculations
• Spin-orbit interaction in Hartree-Fock calculations
• Meson-exchange contributions to the nuclear charge operator
• Neutrino cross sections and nuclear structure

Cited by in corpus (13)

• Effects of the Tensor Force on the Multipole Response in Finite Nuclei
• Impact of tensor force on β-decay of magic and semi-magic 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
• Effective nucleon-nucleon interaction and low-lying nuclear magnetic states