A stabilized pairing functional

Abstract

We propose a modified pairing functional for nuclear structure calculations which avoids the abrupt phase transition between pairing and non-pairing states. The intended application is the description of nuclear collective motion where the smoothing of the transition is compulsory to remove singularities. The stabilized pairing functional allows a thoroughly variational formulation, unlike the Lipkin-Nogami (LN) scheme which is often used for the purpose of smoothing. First applications to nuclear ground states and collective excitations prove the reliability and efficiency of the proposed stabilized pairing.

6 pages, 5 figures

References in corpus (9)

• The Skyrme Interaction in finite nuclei and nuclear matter
• Pairing gaps from nuclear mean-field models
• Global study of quadrupole correlation effects
• Particle-Number Projection and the Density Functional Theory
• Non-Linear Vibrations in Nuclei
• Boost-invariant mean field approximation and the nuclear Landau-Zener effect
• The Skyrme energy functional and low lying 2+ states in Sn, Cd and Te isotopes
• An HFB scheme in natural orbitals
• Approximate particle number projection with density dependent forces: Superdeformed bands in the A=150 and A=190 regions

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• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Electromagnetic Properties of Indium Isotopes Elucidate the Doubly Magic Character of ${}^{100}$Sn
• In-beam gamma-ray and electron spectroscopy of ${}^{249,251}$Md
• Impact of choices for center-of-mass correction energy on the surface energy of Skyrme energy density functionals