Sum rule study for Double Gamow-Teller states
Abstract
We study the sum rules of double Gamow-Teller (DGT) excitations through double spin-isospin operator (σ t-)2. In general, 2+ states in the granddaughter nuclei have dominant transition strength in DGT excitations and 0+ states are weak, except in T=1 mother nuclei in which 0+ strength is competitive with 2+ strength. The isospin selection of DGT is also discussed among 5 possible isospin states in granddaughter nuclei. A possibility to extract the unit cross section for the DGT transition strength is pointed out in the (σ t-)2 excitation of double isobaric analog state (DIAS) in T=1 nuclei.
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