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arXiv · 1601.00677

Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory

Nobuo Hinohara·Witold Nazarewicz
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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.

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Nobuo Hinohara, Witold Nazarewicz. 2016-04-13. Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory. https://doi.org/10.1103/physrevlett.116.152502

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