English

Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory

Nuclear Theory 2016-04-15 v2

Abstract

We show that the Nambu-Goldstone formalism of the broken gauge symmetry in the presence of the T=1T=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.

Keywords

Cite

@article{arxiv.1601.00677,
  title  = {Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory},
  author = {Nobuo Hinohara and Witold Nazarewicz},
  journal= {arXiv preprint arXiv:1601.00677},
  year   = {2016}
}

Comments

6 pages, 3 figures

R2 v1 2026-06-22T12:22:51.133Z