On the equivalence of pairing correlations and intrinsic vortical currents in rotating nuclei

Details On the equivalence of pairing correlations and intrinsic vortical currents in rotating nuclei On the equivalence of pairing correlations and intrinsic vortical currents in rotating nuclei

2002-07-15

arxiv.org/abs/nucl-th/0207039v3

Phys.Rev.C67:014307,2003

Physics

Nuclear Physics

Nuclear Theory

8 pages, 4 figures, submitted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.67.014307

The present paper establishes a link between pairing correlations in rotating nuclei and collective vortical modes in the intrinsic frame. We show that the latter can be embodied by a simple S-type coupling a la Chandrasekhar between rotational and intrinsic vortical collective modes. This results from a comparison between the solutions of microscopic calculations within the HFB and the HF Routhian formalisms. The HF Routhian solutions are constrained to have the same Kelvin circulation expectation value as the HFB ones. It is shown in several mass regions, pairing regimes, and for various spin values that this procedure yields moments of inertia, angular velocities, and current distributions which are very similar within both formalisms. We finally present perspectives for further studies.

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