Abstract
A model Hamiltonian describing a system of (N,Z) nucleons moving in a mean field of the Moszkowski model and interacting by T=1 pairing and Gamow-Teller forces is used to study the 2\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta} Gamow-Teller transition. Resemblances and differences with realistic calculations are pointed out. The cancellation of the transition amplitude ${\mathit{M}}_{\mathrm{GT}}$ for a certain value of the particle-particle interaction strength can be studied in detail in this model. This cancellation is determined by a quasidegenerate structure of the Gamow-Teller giant resonance.
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