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We explore, within the framework of an algebraic [Formula Presented] shell model, discrete approximations to various derivatives of the energies of the lowest isovector-paired [Formula Presented] states of atomic nuclei in the [Formula Presented] mass range. The results show that the symplectic model can be used to successfully interpret fine structure effects driven by the proton-neutron ([Formula Presented]) and like-particle isovector pairing interactions as well as interactions with higher [Formula Presented] multipolarity. A finite energy difference technique is used to investigate two-proton and two-neutron separation energies, observed irregularities found around the [Formula Presented] region, and the like-particle and [Formula Presented] isovector pairing gaps. A prominent staggering behavior is observed between groups of even-even and odd-odd nuclides. An oscillation, in addition to that associated with changes in isospin values, that tracks with alternating seniority quantum numbers related to the isovector pairing interaction is also found. © 2004 The American Physical Society.

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Physical Review C - Nuclear Physics

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