Abstract

Dynamical symmetries of IBM-3 (interacting boson model including isospin (T)) with not only goodTbut also goodsanddboson isospins (Ts, Td) carry signatures typical of some heavy (proton rich)N∼Zeven–even nuclei and therefore complete study of these symmetries is important for proton drip line nuclei. With good (Ts, Td) there are three dynamical symmetries in IBM-3 and they are called [Ud(5)⊗UTd(3)]⊕UTs(3), [Ud(15)⊃Od(15)]⊕UTs(3), andOsd(18)⊃Od(15)⊕OTs(3) limits; the last two symmetry limits carryα-particle-like correlations. For these three symmetry limits group chains, irrep labels, group generators, linear and quadratic Casimir operators, and energy formulas are given. ForT=0 even–even nuclei, in the three symmetry limits analytical formulas are given forB(E2)'s involving low-lying levels and also for the yrast band members. There are clear signatures of isospin both in spectra andB(E2)'s which can be subjected to experimental tests in the future.

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