Pairing in spherical nuclei: quasi-particle random phase approximation calculations with the Gogny interaction

Abstract

We investigate the effects of the pairing in spherical nuclei. We use the same finite-range interaction of Gogny type in the three steps of our approach, Hartree-Fock, Bardeen, Cooper and Schrieffer, and quasi-particle random phase approximation calculations. We study electric and magnetic dipole, quadrupole and octuple excitations in oxygen and calcium isotopes and also in isotopes with 20 neutrons. We investigate the pairing effects on single particle energies and occupation probabilities, on the excitation energies, $B$-values and collectivity of low-lying states including the isoscalar electric dipole and the magnetic dipole excitations, and also the giant resonances. The inclusion of the pairing increases the values of the excitation energies in all the cases we have studied. In general, the effects of the pairing are too small to remarkably improve the agreement with the available experimental data.

18 pages, 6 tables, 8 figures, accepted for publication in Physical Review C

References in corpus (5)

• Exotic modes of excitation in atomic nuclei far from stability
• Tensor effective interaction in self-consistent Random Phase Approximation calculations
• Low-energy dipole excitations in neon isotopes and N=16 isotones within the quasiparticle random phase approximation and the Gogny force
• Self-consistent Continuum Random Phase Approximation calculations with finite-range interactions
• Effects of the tensor force on the ground and first $2^{+}$ states of the magic ${}^{54}$Ca nucleus

Cited by in corpus (1)

• Neutron gas and pairing