Geodesic
Fermi Rule and Scattering Amplitude Resonances
Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 3, pp. 341-352

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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, resonance.
Mots-clés : pole 
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     author = {A. A. Arsen'ev},
     title = {Fermi {Rule} and {Scattering} {Amplitude} {Resonances}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {341--352},
     publisher = {mathdoc},
     volume = {134},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_134_3_a1/}
}
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A. A. Arsen'ev. Fermi Rule and Scattering Amplitude Resonances. Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 3, pp. 341-352. http://geodesic.mathdoc.fr/item/TMF_2003_134_3_a1/