Tensor force and deformation in even-even nuclei

Abstract

The variational principle is used to build a model which describes open shell nuclei with ground state deformations. Hartree-Fock equations are solved by using single particle wave functions whose radial parts depend on the projection of the angular momentum on the quantization axis. Pairing effects are taken into account by solving Bardeen-Cooper-Schrieffer equations in each step of the minimisation procedure. The Gogny D1S finite-range interaction and an extension of it that includes tensor terms are consistently used in both parts of our calculations. The model is applied to study a set of isotopes with 34 protons and of isotones with 34 neutrons. Total energies, density distributions, their radii and single particle energies are analysed and the results of our calculations are compared with the available experimental data. We focused our attention on the effects of the deformation and of the tensor force on these observables. Our model describes open shell nuclei from a peculiar perspective and opens the possibility of future theoretical developments.

arXiv comment23 pages, 15 figures, 3 tables

References in corpus (12)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Nuclear ground-state masses and deformations: FRDM(2012)
• Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
• Particle number projection with effective forces
• Angular momentum projected analysis of Quadrupole Collectivity in \protect(^{30,32,34}Mg\protect) and \protect(^{32,34,36,38}Si\protect) with the Gogny interaction
• Coulomb exchange and pairing contributions in nuclear Hartree-Fock-Bogoliubov calculations with the Gogny force
• Light Nuclei near Neutron and Proton Drip Lines in the Relativistic Mean-Field Theory
• Tensor and tensor-isospin terms in the effective Gogny interaction
• Nuclear Charge Density Distributions from Elastic Electron Scattering Data
• Correlations and charge distributions of medium heavy nuclei
• A study of self-consistent Hartree-Fock plus Bardeen-Cooper-Schrieffer calculations with finite-range interactions
• Neutron gas and pairing

Cited by in corpus (2)

• Joint analysis of reactor and accelerator CE$\nu$NS data on germanium: implications for the Standard Model and nuclear physics
• Phenomenological implications of the high-precision COHERENT germanium CE$\nu$NS data