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Dispersion relation for potential scattering

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Il Nuovo Cimento (1955-1965)

Summary

A dispersion relation for the scattering of a Klein-Gordon particle by a fixed static interaction is derived. The dispersion relation is valid only for momentum transfers less than a given limit determined by the behavior of the interaction at large distances. The dependence of this limit on the mass spectrum is discussed, and it is found that if the system admits sufficiently exothermic inelastic processes, the derivation fails even in the case of forward scattering.

Riassunto

Si deriva una relazione di dispersione per lo scattering di una particella di Klein-Gordon da parte di una interazione statica fissa. La relazione di dispersione è valida solo per trasferimenti di impulso inferiori a un dato limite determinato dal comportamento dell’interazione alle grandi distanze. Si discute la dipendenza di tale limite dallo spettro di massa e si trova che se il sistema ammette un numero sufficiente di processi anelastici isotermici la derivazione viene a mancare anche nel caso di scattering in avanti.

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References

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Author notes

  1. S. Gasiorowicz (National Science Foundation Fellow)

    Present address: the Radiation Laboratory, University of California, Berkeley

Authors and Affiliations

  1. Institute for Theoretical Physics, University of Copenhagen, Copenhagen

    S. Gasiorowicz (National Science Foundation Fellow)

  2. Nuclear Physics Laboratory, University of Liverpool, Liverpool

    H. P. Noyes

  3. Radiation Laboratory, University of California, Livermore

    H. P. Noyes

Authors
  1. S. Gasiorowicz
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  2. H. P. Noyes
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Additional information

Supported in part by the U.S. Atomic Energy Commission.

One of us (S.G.) wishes to express his appreciation to ProfessorNiels Bohr and the staff of the Institute for Theoretical Physics in Copehagen for their kind hospitality.

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Gasiorowicz, S., Noyes, H.P. Dispersion relation for potential scattering. Nuovo Cim 10, 78–89 (1958). https://doi.org/10.1007/BF02859606

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  • DOI: https://doi.org/10.1007/BF02859606

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