Fluctuating parts of nuclear ground state correlation energies

Abstract

Background: Heavy atomic nuclei are often described using the Hartree-Fock-Bogoliubov (HFB) method. In principle, this approach takes into account Pauli effects and pairing correlations while other correlation effects are mimicked through the use of effective density-dependent interactions. Purpose: Investigate the influence of higher order correlation effects on nuclear binding energies using Skyrme's effective interaction. Methods: A cut-off in relative momenta is introduced in order to remove ultraviolet divergences caused by the zero-range character of the interaction. Corrections to binding energies are then calculated using the quasiparticle-random-phase approximation (QRPA) and second order many-body perturbation theory (MBPT2). Result: Contributions to the correlation energies are evaluated for several isotopic chains and an attempt is made to disentangle which parts give rise to fluctuations that may be difficult to incorporate on the HFB level. The dependence of the results on the cut-off is also investigated. Conclusions: The improved interaction allows explicit summations of perturbation series which is useful for the description of some nuclear observables. However, refits of the interaction parameters are needed to obtain more quantitative results.

References in corpus (6)

• Efficient and accurate calculation of exact exchange and RPA correlation energies in the Adiabatic-Connection Fluctuation-Dissipation theory
• Effective pseudopotential for energy density functionals with higher order derivatives
• Systematics of collective correlation energies from self-consistent mean-field calculations
• Convergence of density-matrix expansions for nuclear interactions
• Projected Quasi-particle Perturbation theory
• Medium polarization isotopic effects on nuclear binding energies

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• Effective density functionals beyond mean field
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• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Regularization of zero-range effective interactions in finite nuclei
• Towards a power counting in nuclear energy-density-functional theories through a perturbative analysis
• Nuclear spectra from low-energy interactions
• Low-lying states in near-magic odd-odd nuclei and the effective interaction
• A microscopic model beyond mean-field: from giant resonances properties to the fit of new effective interactions