Summary
The analyticity of three-body partial-wave amplitudes is considered for an interaction in which the two-body amplitudes have a particular separable form. Unitarity and discontinuity are discussed, and the amplitudes are analytically continued into a limited region of meromorphy in the energy plane on the second sheet.
Riassunto
Si considera l’analiticità delle ampiezze d’onda parziale di tre corpi per una interazione in cui le ampiezze di due corpi hanno una forma separabile particolare. Si discutono l’unitarietà e la discontinuità, e si continuano analiticamente le ampiezze in una regione limitata di meromorfia nel piano dell’energia sul secondo foglietto.
Реэюме
Рассматривается аналитичность трех-частичных парциальных амплитуд для вэаимодействия, в котором двух-частичные амплитуды имеют специальную сепарабельню форму. Обсуждаются унитарность и раэрыв непрерывности, и проиэводится аналитическое продолжение амплитуд в ограниченную область мероморфии в плоскости знергии на втором листе.
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N. Dunford andJ. T. Schwartz:Linear Operators, Part 1 (New York, 1958).
B. Fuks:Function of Several Complex Variables (Providence, R. I., 1963).
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Lancaster, K.G. Analytic continuation of three-body off-the-energy-shell amplitudes. Nuovo Cimento B (1965-1970) 62, 201–218 (1969). https://doi.org/10.1007/BF02710131
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DOI: https://doi.org/10.1007/BF02710131