Bulg. J. Phys. vol.42 no.4 (2015), pp. 544-553

Systematic Evaluation of the Nuclear Binding Energies as Functions of F-spin

A.I. Georgieva1, A. Aprahamian2, I. Bentley2,3, A. Teymurazyan2, A. Nystrom2
1Institute of Solid State Physics, Bulgarian Academy of Sciences, Sofia 1784, Bulgaria
2Dept. of Physics, University of Notre Dame, Notre Dame, IN 46556
3Dept. of Chemistry and Physics, Saint Mary's College, Notre Dame, IN 46556
Abstract. A smooth dependence of the microscopic component of the nuclear binding energy on the third projection of the F-spin and the proton number is obtained by an application of a generalized Sp(4,R) classification scheme of even-even nuclei within the major nuclear shells. The results are compared with the ones from a systematic of nuclear masses in respect to the promiscuity factor (P) and the relation of the later and the F-spin projection is established, which further motivates the obtained empirical result.

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