Mean-field Based Approaches to Pairing Correlations in Atomic Nuclei

Abstract

The evolution of the pairing correlations from closed shell to middle shell nuclei is analyzed with a Finite Range Density Dependent interaction in the Sn isotopes. As theoretical approaches we use the Hartree-Fock-Bogoliubov, the Lipkin-Nogami, their particle number projected counterparts and the full variation after particle number projection method. We find that whereas all approaches succeed rather well in the description of the total energy they differ significantly in the pairing correlation content of the wave functions. The description of the evolution from the weak to the strong pairing regime is also approach dependent, specially at shell closure.

14 pages, 5 figures

References in corpus (1)

• Particle number projection with effective forces

Cited by in corpus (32)

• Systematic study of deformed nuclei at the drip lines and beyond
• Axially Deformed Solution of the Skyrme-Hartree-Fock-Bogolyubov Equations using The Transformed Harmonic Oscillator Basis. The program HFBTHO (v1.66p)
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
• Particle-Number Restoration within the Energy Density Functional Formalism
• Symmetry restoration in mean-field approaches
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. III: Role of particle-number projection
• Dynamics of nuclear single-particle structure in covariant theory of particle-vibration coupling: from light to superheavy nuclei
• Microscopic calculation of 240Pu scission with a finite-range effective force
• State-of-the-art of beyond mean field theories with nuclear density functionals
• Variation after Particle-Number Projection for the HFB Method with the Skyrme Energy Density Functional
• Structure of Krypton isotopes calculated with symmetry conserving configuration mixing methods
• Mean-field approach to nuclear structure with semi-realistic nucleon-nucleon interactions
• Extension of nuclear landscape to hyperheavy nuclei
• Beyond-mean-field study of the possible "bubble" structure of 34Si
• Multiple shape coexistence in the nucleus ${}^{80}$Zr
• Configuration mixing description of the nucleus ${}^{44}$S
• Variational multiparticle-multihole configuration mixing method applied to pairing correlations in nuclei
• On the impact of large amplitude pairing fluctuations on nuclear spectra
• Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
• Pairing gaps in Hartree-Fock Bogoliubov theory with the Gogny D1S interaction
• Low-lying spectroscopy of a few even-even silicon isotopes investigated by means of the multiparticle-multihole Gogny energy density functional
• Pairing within the self-consistent quasiparticle random-phase approximation at finite temperature
• Symmetry-projected variational calculations with the numerical suite TAURUS I. Variation after particle-number projection
• Continuum and Symmetry-Conserving Effects in Drip-line Nuclei Using Finite-range Forces
• Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands
• Particle number conserving BCS approach in the relativistic mean field model and its application to ${}^{32-74}$Ca
• Variational Principle Directly on the Coherent Pair Condensate. I. the BCS Case
• Solving for the Particle-Number-Projected HFB Wavefunction
• Application of the variational principle to a coherent-pair condensate: The HFB case
• Models for Pairing Phenomena
• Ab initio study in the island of inversion within the two-major-shell valence space