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We study resonances for the Schr\"odinger operators with quadratic orsub-quadratic repulsive potential. In the present paper, we show thenon-existence of resonances in some complex neighborhood of a fixed energy byemploying schemes of Briet-Combes-Duclos and Hunziker and by introducing aproper distortion based on, but slightly modified, positive commutator methodof Mourre.

Resonance free domain for Schr\"odinger operators with repulsive potential