Nuclear and Atomic Physics

    

Quantum Group $su_q(2)$ as the Proper Group to Describe the Symmetry Structure of the Nucleus

Authors: Syed Afsar Abbas

The nucleus displaying both the single particle aspects as well as the collective aspects simultaneously, does not seem to be amenable to a simple group theoretical structure to explain its existence. The isospin group SU(2) takes account of the single particle aspects quite well but the collectivity is basically put in by hand. The point is that, is there some inherent symmetry connecting the single particle aspect and the collective aspects through some group theoretical structure. We do consistent and exact matching of the deformed and the superdeformed bands in various nuclei. Thus we shall show that the Quantum Group $SU_q(2)$ fulfills this requirement - not in any approximate manner, but in an exact manner.

Comments: 11 Pages.

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Submission history

[v1] 2015-04-30 23:52:07

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