Bulg. J. Phys. vol.44 no.4 (2017), pp. 326-333

Coupling of the Collective Rotation and Pairing Correlation Modes in Well-Deformed Even-Even Nuclei

P. Quentin1,2, J. Bartel3,4
1Université de Bordeaux, CENBG, UMR5797, BP 120, F-33170 Gradignan, France
2CNRS, IN2P3, CENBG, UMR5797, BP 120, F-33170 Gradignan, France
3Université de Strasbourg, IPHC, UMR7178, BP 28, F-67200 Strasbourg, France
4CNRS, IN2P3,IPHC, UMR7178, BP 28, F-67200 Strasbourg, France
Abstract. Pairing correlations are generating, as well-known, counter-rotating currents in well-deformed nuclei undergoing a collective rotation, a phenomenon dubbed as the Coriolis anti-pairing effect. It has already been shown that the coupling of these currents with those generated by the global rotation could be well described within the Chandrasekhar S-ellipsoid framework. Taking stock of this, we express the energies of states within a K = 0 band of even-even nuclei in the form of a fixed polynomial of order three in the square of the angular velocity where the only quantities to be entered for each nucleus are the equilibrium intrinsic deformation and the energy of the first 2+ state. Calculations have been performed for a selection of deformed rare-earth and actinide nuclei. Despite the relatively minor input of data, the agreement with the experimental energies within a band is generally found to be very good up to rather high spins, up to a point where other coupling mechanisms start to be effective, like e.g. the centrifugal stretching or the back-bending phenomenon.

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