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We developed the deformed proton-neutron quasiparticle random phaseapproximation (QRPA) and applied to the evaluation of the Gamow-Teller (GT)transition strength distributions including high-lying excited states, whichdata becomes recently available beyond one or two nucleon threshold by chargeexchange reactions using hundreds of MeV projectiles. Our calculations startedwith single-particle states calculated by a deformed axially symmetricWoods-Saxon potential. Neutron-neutron and proton-proton pairing correlationsare explicitly taken into account at the deformed Bardeen Cooper Schriffertheory. Ground state correlations, and two-particle and two-hole mixing statesare included in the deformed QRPA. In this work, we use a realistic two-bodyinteraction given by the Brueckner $G$-matrix based on the CD Bonn potential toreduce the ambiguity on the nucleon-nucleon interactions inside nuclei. Weapplied our formalism to the GT transition strengths for $^{76}$Ge,$^{76,82}$Se, and $^{90,92}\textrm{Zr}$, and compared to available experimentaldata. The GT strength distributions were sensitive on the deformation parameteras well as its sign, {\it i.e.}, oblate or prolate. The Ikeda sum rule, whichis usually thought to be satisfied under the one-body current approximationirrespective of nucleon models, is used to test our numerical calculations andshown to be satisfied without introducing the quenching factor, if high-lyingGT excited states are properly taken into account. Most of the GT strengthdistributions of the nuclei considered in this work turn out to have thehigh-lying GT excited states beyond one nucleon threshold, which are shown tobe consistent with available experimental data.

Gamow-Teller Strength distributions in $^{76}\textrm{Ge}$, $^{76,82}\textrm{Se}$, and $^{90,92}\textrm{Zr}$ by the Deformed Proton-neutron QRPA