Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory.
Nobuo Hinohara1,2, Witold Nazarewicz3,4
1Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8577, Japan.
Physical Review Letters
|April 30, 2016
Summary
The Nambu-Goldstone formalism quantitatively describes binding-energy differences in superfluid nuclei. Pairing-rotational moments of inertia serve as reliable pairing indicators, offering a unified interpretation of nuclear properties.
Area of Science:
- Nuclear Physics
- Quantum Mechanics
- Condensed Matter Physics
Background:
- Superfluid nuclei exhibit complex binding-energy differences.
- Traditional shell models offer limited interpretations of these differences.
- Understanding nuclear pairing is crucial for nuclear structure theory.
Purpose of the Study:
- To quantitatively describe binding-energy differences in open-shell superfluid nuclei.
- To establish pairing-rotational moments of inertia as robust pairing indicators.
- To provide a unified interpretation of nuclear binding energies.
Main Methods:
- Application of the Nambu-Goldstone formalism for broken gauge symmetry.
- Analysis of the T=1 pairing condensate.
- Systematic analysis of off-diagonal pairing-rotational moments of inertia.
Main Results:
- Quantitative description of binding-energy differences achieved.
- Pairing-rotational moments of inertia identified as unambiguous pairing indicators.
- Demonstrated mixing of neutron and proton pairing-rotational modes in even-even nuclei.
Conclusions:
- The Nambu-Goldstone formalism offers a powerful tool for nuclear structure studies.
- Pairing-rotational moments of inertia provide new insights into nuclear pairing.
- Mass measurements of neutron-rich nuclei are vital for refining pairing energy functionals.
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