Elsevier

Nuclear Physics A

Volume 331, Issue 1, 19 November 1979, Pages 16-28
Nuclear Physics A

A parabolic rule for the energy dependence on x = I(I + 1) for proton-neutron multiplets in odd-odd nuclei

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Abstract

An analytic expression for the energies of the states of the proton-neutron multiplet (jpjn)I = |jp-jn&,…,jp + jn is derived as a quadratic function x = I(I + 1) owing to the exchange of the quadrupole and the spin-vibrational phonon. A discussion of this parabola, its consequences and illustrative applications are presented. The parabolic rule is suggested to serve as a guideline on the classification and investigation of states in odd-odd nuclei.

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