Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory

Abstract

We show that the Nambu-Goldstone formalism of the broken gauge symmetry in the presence of the $T=1$ pairing condensate offers a quantitative description of the binding-energy differences of open-shell superfluid nuclei. We conclude that the pairing-rotational moments of inertia are excellent pairing indicators, which are free from ambiguities attributed to odd-mass systems. We offer a new, unified interpretation of the binding-energy differences traditionally viewed in the shell model picture as signatures of the valence nucleon properties. We present the first systematic analysis of the off-diagonal pairing-rotational moments of inertia and demonstrate the mixing of the neutron and proton pairing-rotational modes in the ground states of even-even nuclei. Finally, we discuss the importance of mass measurements of neutron-rich nuclei for constraining the pairing energy density functional.

6 pages, 3 figures

References in corpus (8)

• Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (II) HFBTHO v2.00d: a new version of the program
• Global description of beta-minus decay in even-even nuclei with the axially-deformed Skyrme finite amplitude method
• Empirical Proton-Neutron Interactions and Nuclear Density Functional Theory: Global, Regional and Local Comparisons
• Error Analysis in Nuclear Density Functional Theory
• Double binding energy differences: Mean-field or pairing effect?
• What can be learned from binding energy differences about nuclear structure: the example of delta V_{pn}
• Complex-energy approach to sum rules within nuclear density functional theory
• Lipkin method of particle-number restoration to higher orders

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