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Analytic continuation and asymptotic behavior in angular momentum of the scattering matrix in potential scattering

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Il Nuovo Cimento (1955-1965)

Summary

A simple proof is given of the fact that the scattering amplitude is a meromorphic function of angular momentum (for Rel ≤ -1/2) and that it vanishes asl → ∞ along any direction such that Rel → ∞.

Riassunto

Si dà una semplice dimostrazione del fatto che l‘ampiezza di diffusione è una funzione meromorfa del momento angolare e tende a zero per grandi momenti angolari.

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References

  1. T. Regge:Nuovo Cimento,14, 951 (1959);18, 947 (1960).

    Article  MathSciNet  MATH  Google Scholar 

  2. A. Bottino, A. M. Longoni andT. Regge:Nuovo Cimento,23, 954 (1962).

    Article  MathSciNet  Google Scholar 

  3. F. Calogero:Nuovo Cimento,27, 261 (1963).

    Article  MathSciNet  Google Scholar 

  4. A. Barut andF. Calogero:Phys. Rev.,128, 1383 (1962).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. M. Prosperi:Nuovo Cimento,24, 957 (1962);E. J. Squires:Nuovo Cimento,25, 242 (1962);T. Regge andG. A. Viano:Nuovo Cimento,25, 709 (1962);H. Chens andR. NÚñez-Lagos:Nuovo Cimento,26, 177 (1962).

    Article  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Palmer Physical Laboratory, Princeton University, Princeton, N. J.

    F. Calogero

Authors
  1. F. Calogero
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Additional information

Harkness Fellow of the Commonwealth Fund, New York, on leave of absence from Istituto Nazionale di Fisica Nucleare, Sezione di Roma, and Istituto di Fisica dell‘Università, Roma.

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Calogero, F. Analytic continuation and asymptotic behavior in angular momentum of the scattering matrix in potential scattering. Nuovo Cim 28, 66–77 (1963). https://doi.org/10.1007/BF02806049

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  • DOI: https://doi.org/10.1007/BF02806049

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