Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach

Abstract

We present a self-consistent theory for odd nuclei with exact blocking and particle number and angular momentum projection. The demanding treatment of the pairing correlations in a variation-after-projection approach as well as the explicit consideration of the triaxial deformation parameters in a projection after variation method, together with the use of the finite-range density-dependent Gogny force, provides an excellent tool for the description of odd-even and even-even nuclei. We apply the theory to the Magnesium isotopic chain and obtain an outstanding description of the ground-state properties, in particular binding energies, odd-even mass differences, mass radii and electromagnetic moments among others.

8 pages, 6 figures, accepted for publication in Phys. Let. B

References in corpus (4)

• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra

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