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Charge-exchange reactions are an important tool for determiningweak-interaction rates. They provide stringent tests for nuclear structuremodels necessary for modeling astrophysical environments such as neutron starsand core-collapse supernovae. In anticipation of (t,3He) experiments at 115MeV/nucleon on nuclei of relevance (A~40-120) in the late evolution of stars,it is shown via a study of the 26Mg(t,3He) reaction that this probe is anaccurate tool for extracting Gamow-Teller transition strengths. To do so, thedata are complemented by results from the 26Mg(3He,t) reaction at 140MeV/nucleon which allows for a comparison of T=2 analog states excited via themirror reactions. Extracted Gamow-Teller strengths from 26Mg(t,3He) and26Mg(3He,t) are compared with those from 26Mg(d,2He) and 26Mg(p,n) studies,respectively. A good correspondence is found, indicating probe-independence ofthe strength extraction. Furthermore, we test shell-model calculations usingthe new USD-05B interaction in the sd-model space and show that it reproducesthe experimental Gamow-Teller strength distributions well. A second goal ofthis work is to improve the understanding of the (t,3He) and (3He,t) reactionmechanisms at intermediate energies since detailed studies are scarce. TheDistorted-Wave Born Approximation is employed, taking into account thecomposite structures of the 3He and triton particles. The reaction modelprovides the means to explain systematic uncertainties at the 10-20% level inthe extraction of Gamow-Teller strengths as being due to interference betweenGamow-Teller dL=0, dS=1 and dL=2, dS=1 amplitudes that both contribute totransitions from 0+ to 1+ states.Comment: 16 pages, 6 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

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The (t,He3) and (He