Large amplitude pairing fluctuations in atomic nuclei

Abstract

Pairing fluctuations are self-consistently incorporated on the same footing as the quadrupole deformations in present state of the art calculations including particle number and angular momentum conservation as well as configuration mixing. The approach is complemented by the use of the finite range density dependent Gogny force which, with a unique source for the particle-hole and particle-particle interactions, guarantees a self-consistent interplay in both channels. We have applied our formalism to study the role of the pairing degree of freedom in the description of the most relevant observables like spectra, transition probabilities, separation energies, etc. We find that the inclusion of pairing fluctuations mostly affects the description of excited states, depending on the excitation energy and the angular momentum. $E0$ transition probabilities experiment rather big changes while $E2$'s are less affected. Genuine pairing vibrations are thoroughly studied with the conclusion that deformations strongly inhibits their existence. These studies have been performed for a selection of nuclei: spherical, deformed and with different degree of collectivity.

23 pages, 23 Figures, To be published in Phys. Rev. C

References in corpus (7)

• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Particle-Number Projection and the Density Functional Theory
• Study of the transition from pairing vibrational to pairing rotational regimes between magic numbers N=50 and N=82, with two-nucleon transfer
• On the impact of large amplitude pairing fluctuations on nuclear spectra
• Low-lying spectroscopy of a few even-even silicon isotopes investigated by means of the multiparticle-multihole Gogny energy density functional
• Angular-momentum projection of cranked symmetry-unrestricted Slater determinants
• On the formulation of functional theory for pairing with particle number restoration

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• Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra
• Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach
• Simple regularization scheme for multi-reference density functional theories
• Zero-pairing limit of Hartree-Fock-Bogoliubov reference states
• Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals
• Symmetry Conserving Configuration Mixing description of odd mass nuclei
• From bare to renormalized order parameter in gauge space: structure and reactions
• Role of pair-vibrational correlations in forming the odd-even mass difference
• Multimodal fission from self-consistent calculations
• Microscopic self-consistent description of induced fission: dynamical pairing degree of freedom