Effective field theory of pairing rotations
Abstract
Pairing rotations are the low-energy excitations of finite superfluid systems, connecting systems that differ in their number of Cooper pairs. This paper presents a model-independent derivation of pairing rotations within an effective theory that exploits the emergent breaking of U(1 ) phase symmetries. The symmetries are realized nonlinearly and the Nambu-Goldstone modes depend only on time because the system is finite. Semimagic nuclei exhibit pairing rotational bands while the pairing spectrum becomes an elliptical paraboloid for open-shell nuclei. Model-independent relations between double charge-exchange reactions and α particle capture or knockout in open-shell nuclei are in analogy to the pair transfer reactions in a single superfluid. Odd semimagic nuclei are described by coupling a fermion to the superfluid. The leading-order theories reproduce data for pairing rotational bands within uncertainty estimates.
- Publication:
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Physical Review C
- Pub Date:
- April 2022
- DOI:
- arXiv:
- arXiv:2202.13146
- Bibcode:
- 2022PhRvC.105d4322P
- Keywords:
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- Nuclear Theory;
- Nuclear Experiment
- E-Print:
- 12 pages, 11 figures