Global phenomenological descriptions of nuclear odd-even mass staggering

Abstract

We examine the general nature of nuclear odd-even mass differences by employing neutron and proton mass relations that emphasize these effects. The most recent mass tables are used. The possibility of a neutron excess dependence of the staggering is examined in detail in separate regions defined by the main nuclear shells, and a clear change in this dependency is found at $Z=50$ for both neutrons and protons. A further separation into odd and even neutron (proton) number produces very accurate local descriptions of the mass differences for each type of nucleons. These odd-even effects are combined into a global phenomenological expression, ready to use in a binding energy formula. The results deviate from previous parametrizations, and in particular found to be significantly superior to a recent two term, $A^{-1}$ dependence.

arXiv comment13 pages, 16 figures, published version

References in corpus (11)

• Pairing in nuclear systems: from neutron stars to finite nuclei
• Odd-Even Staggering of Nuclear Masses: Pairing or Shape Effect?
• Modification of mass formula by considering isospin effects
• Odd-even mass differences from self-consistent mean-field theory
• Pairing correlations. Part 2: Microscopic analysis of odd-even mass staggering in nuclei
• The anatomy of the simplest Duflo-Zuker mass formula
• Role of three-nucleon forces and many-body processes in nuclear pairing
• Neutron-Proton pairing revisited
• Whence the odd-even staggering in nuclear binding?
• Nuclear Masses, Chaos, and the Residual Interaction
• Extrapolations of nuclear binding energies from new linear mass relations

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• Empirical residual neutron-proton interaction in odd-odd nuclei
• Odd-even staggering in neutron drip line nuclei
• Methods for a quantitative evaluation of odd-even staggering effects
• Borromean structures in medium-heavy nuclei
• Combined few-body and mean-field model for nuclei
• Combining few-body cluster structures with many-body mean-field methods
• Structure and decay at rapid proton capture waiting points
• Assessing the accuracy of Hartree-Fock-Bogoliubov calculations by use of mass relations