title: 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.
authors.affiliation: Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8577, Japan.|FRIB Laboratory, Michigan State University, East Lansing, Michigan 48824, USA.
authors.forename: Nobuo
authors.initials: N
authors.lastname: Hinohara
authors.affiliation: Department of Physics and Astronomy and FRIB Laboratory, Michigan State University, East Lansing, Michigan 48824, USA.|Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, 02-093 Warsaw, Poland.
authors.forename: Witold
authors.initials: W
authors.lastname: Nazarewicz