This article is cited in 4 papers

Fermi Rule and Scattering Amplitude Resonances

A. A. Arsen'ev

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: The behavior of the scattering amplitude near a resonance with a small imaginary part is investigated. We prove that the scattering amplitude as an energy function suffers a jump near the real part of the resonance and the jump is independent of the interaction details. In terms of the problem data, we derive an estimate for the imaginary part of the resonance.

Keywords: scattering, pole, resonance.

Received: 07.09.2001
Revised: 12.09.2002

DOI: 10.4213/tmf159

 English version: Theoretical and Mathematical Physics, 2003, 134:3, 296–307

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