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

Physics – Nuclear Physics – Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.79.044311

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.

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