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 (21)

• Exotic modes of excitation in atomic nuclei far from stability
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model
• Self-Consistent Description of Multipole Strength in Exotic Nuclei I: Method
• Di-neutron correlation and soft dipole excitation in medium mass neutron-rich nuclei near drip-line
• Continuum quasiparticle random phase approximation and the time dependent Hartree-Fock-Bogoliubov approach
• The Pauli principle, QRPA and the two-neutrino double beta decay
• Coulomb exchange and pairing contributions in nuclear Hartree-Fock-Bogoliubov calculations with the Gogny force
• Pairing effects on the collectivity of quadrupole states around 32Mg
• Tensor effective interaction in self-consistent Random Phase Approximation calculations
• Effects of density dependence of the effective pairing interaction on the first $2^{+}$ excitations and quadrupole moments of odd nuclei
• Low-energy dipole excitations in neon isotopes and N=16 isotones within the quasiparticle random phase approximation and the Gogny force
• Collective vibrational states with fast iterative QRPA method
• Low-lying Dipole Modes in ${}^{26,28}$Ne in the Quasiparticle Relativistic Random Phase Approximation
• Self-consistent Continuum Random Phase Approximation calculations with finite-range interactions
• RPA calculations with Gaussian expansion method
• Pygmy and giant electric dipole responses of medium-heavy nuclei in a self-consistent Random Phase Approximation approach with finite-range interaction
• Tensor interaction in Hartree--Fock calculations
• Spin-orbit interaction in Hartree-Fock calculations
• A study of self-consistent Hartree-Fock plus Bardeen-Cooper-Schrieffer calculations with finite-range interactions
• Effects of the tensor force on the ground and first $2^{+}$ states of the magic ${}^{54}$Ca nucleus
• Coulomb and spin-orbit interactions in random phase approximation calculations

Cited by in corpus (4)

• Matter distribution and spin-orbit force in spherical nuclei
• Charge radii of Ca isotopes and correlations
• Neutron gas and pairing
• Shell closure at $N=34$ and the ${}^{48}$Si nucleus