Summary
Partial wave amplitudes and Regge poles for nonrelativistic two-body scattering via a separable nonlocal potential are studied. The Schrödinger equation is solved exactly and the partial wave amplitudes are written in a simple closed form valid for any potential satisfying certain minor restrictions at the origin and at infinity. Many previously known properties of amplitudes and Regge poles appear rather simply here.
Riassunto
Si studiano le ampiezze deU’onda parziale ed i poli di Regge per lo scattering a due corpi non relativistico tramite un Potenziale non locale separabile. Si risolve esattamente l’equazione di Schrödinger e si scrivono le ampiezze dell’onda parziale in una semplice forma chiusa valida per ogni Potenziale che soddisfaccia certe minori restrizioni all’origine ed all’inflnito. Moite proprietá già note delle ampiezze e dei poli di Eegge si rivelano qui molto semplicemente.
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References
A. Bottino, A. Longoni andT. Regge:Nuovo Cimento,23, 954 (1962).
G. Chew:Rev. Mod. Phys.,34, 394 (1962).
J. R. Taylor:Phys. Rev.,127, 2257 (1962).
V. Singh:Phys. Rev.,127, 632 (1962).
G. Breit andW. G. Bouricius:Phys. Rev.,74, 1546 (1948);75, 1029 (1949). H. Feshbach and E. Lomon:Phys. Rev.,102, 891 (1956), and to be published inAnnals of Physics.
E. Lomon andM. McMilland: (to be published inAnnals of Physics).
E.g.,P. Morse andH. Feshbach:Methods of Mathematical Physios, Part II.
An equation essentially identical to (2.10) has been obtained byA. N. Mitra:Phys. Rev.,123, 1892 (1961) using a different but equivalent method.
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The research reported in this document has been sponsored in part by the Air Force Office of Scientific Research, OAR, through the European Office, Aerospace Research, United States Air Force.
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McMillan, M. Separable nonlocal potentials and Regge poles. Nuovo Cim 29, 1043–1050 (1963). https://doi.org/10.1007/BF02750130
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DOI: https://doi.org/10.1007/BF02750130