Number-conserving theory of nuclear pairing gaps: a global assessment

Abstract

We study odd-even mass staggering of nuclei, also called pairing gaps, using a Skyrme self-consistent mean-field theory and a numerically exact treatment of the pairing Hamiltonian. We find that the configuration-space Monte Carlo method proposed by Cerf and Martin offers a practical computational procedure to carry out the numerical solutions in large-dimensional model spaces. Refitting the global strength of the pairing interaction for 443 neutron pairing gaps in our number-conserving treatment, we find the correction to the pairing correlation energies and pairing gaps to have rms values of 0.6 MeV and 0.12 MeV, respectively. The exact treatment provides a significant improvement in the fit to experimental gaps, although it is partially masked by a larger rms error due to deficiencies in other aspects of the theory such as the mean-field energy functional.

arXiv comment11 pages, 9 figures

References in corpus (7)

• Pairing gaps from nuclear mean-field models
• Odd-even mass differences from self-consistent mean-field theory
• Variation after Particle-Number Projection for the HFB Method with the Skyrme Energy Density Functional
• Accuracy of BCS-based approximations for pairing in small Fermi systems
• Cooper pairs in atomic nuclei
• The nuclear pairing problem: new perspectives
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• Constraining the nuclear energy density functional with quantum Monte Carlo calculations
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• A Number-Conserving Theory for Nuclear Pairing
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• The first quadrupole excitations in spherical nuclei and nuclear pairing
• Configuration-interaction Monte Carlo method and its application to the trapped unitary Fermi gas
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• Generalized Seniority on Deformed Single-Particle Basis
• Phonon contributions to ab initio double mass differences of magic nuclei
• Accuracy of the new pairing theory and its improvement
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