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.

Symmetry conserving configuration mixing description of odd mass nuclei

“…Therefore, the parity π of the state |φ π is given by the parity of the blocked level α † ρ 1 . In this work we are interested in 25 Mg. Since the magnesium isotopes have Z = 12, we restrict ourselves to the neutron channels.…”

“…An interesting option is to perform an approximate AM-VAP approach as it has been used in the projected mean field theory of Refs. [24,25]. In this approach the variational PN-VAP equation is solved for a large set of relevant physical situations (wave functions) as to cover the sensitive degrees of freedom to the AM projection.…”

“…More recently, an exhaustive study of the ground state properties in the magnesium isotopic chain with the Gogny force has been performed in Ref. [25]. Excellent agreement has been obtained for binding energies, one-neutron separation energies, odd-even mass differences, radii, quadrupole and magnetic moments, etc.…”

“…Specifically, we consider linear combinations of PN and AM projected, exactly blocked, triaxial HFB wave functions generated in the (β, γ) plane. As an application we have chosen the nucleus 25 Mg, which has widely been studied theoretically and experimentally in the past. The reason for this choice is that this nucleus presents collective as well as single particle degrees of freedom.…”

Gamow-Teller response in the configuration space of a density-functional-theory–rooted no-core configuration-interaction model

“…Our group has developed a variant involving an unpaired Skyrme functional and a unique combination of angular-momentum and isospin projections and applied to calculate the spectra and β-decay rates in N ≈ Z nuclei from p-shell to medium mass nuclei around 62 Zn [5][6][7][8]. Recently, the DFT-NCCI method was applied to calculate spectra in neutron-rich 44 S and 64 Cr nuclei with the Gogny force [9,10], within the relativistic framework [11] in 54 Cr, or within the pairing-plus-quadrupole model in the magnesium chain [12].…”