Il Nuovo Cimento (1955-1965)

, Volume 14, Issue 4, pp 856–871 | Cite as

A novel dispersion relation for potential scattering

  • A. Klein
  • B. W. Lee
Article
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Summary

A dispersion relation for potential scattering is found which holds without restriction on momentum transfer. The price paid for this achievement is that the integral in the relation involves a completely non-physical amplitude. Nevertheless it is shown that in combination with the unitarity condition, the Born series, in the event it converges, is completely determined. The transition to the more customary relation is also carried through.

Riassunto

Si trova per lo scattering del potenziale una relazione di dispersione che è valida senza imporre alcuna restrizione al trasferimento dell’impulso. Benchè l’integrale che figura nella relazione si estenda su un’ampiezza completamente non fisica, si dimostra che, in combinazione con la condizione di unitarietà, la serie di Born, se convergente, è determinata in maniera completa. Si esegue anche il passaggio alla relazione più usuale.

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References

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Copyright information

© Società Italiana di Fisica 1959

Authors and Affiliations

  • A. Klein
    • 1
  • B. W. Lee
    • 1
  1. 1.Department of PhysicsUniversity of PennsylvaniaPhiladelphia

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