Exactly Solvable Pairing Models
Abstract
Some results for two distinct but complementary exactly solvable algebraic models for pairing in atomic nuclei are presented: 1) binding energy predictions for isotopic chains of nuclei based on an extended pairing model that includes multi-pair excitations; and 2) fine structure effects among excited 0+ states in N ≈ Z nuclei that track with the proton-neutron (pn) and like-particle isovector pairing interactions as realized within an algebraic sp(4) shell model. The results show that these models can be used to reproduce significant ranges of known experimental data, and in so doing, confirm their power to predict pairing-dominated phenomena in domains where data is unavailable.
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