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Il Nuovo Cimento (1955-1965)

, Volume 35, Issue 1, pp 284–291 | Cite as

Regge-pole kinematics

  • G. Mohan
Article
  • 17 Downloads

Summary

The kinematics of the Regge-pole amplitude and the partialwave amplitude in the study of the scattering of particles of high spins is evolved from the spinless case through a simple differentiation procedure. In particular, the Regge-pole contribution, suitably modified to conform to the basic Mandelstam cut structure, to the scattering amplitude of arbitrary helicities is constructed. A new modified Regge-pole contribution with square-root branch point is proposed.

Riassunto

Per mezzo di un semplice procedimento di differenziazione, si sviluppa la cinematica dell’ampiezza dei poli di Regge e dell’ampiezza dell’onda parziale nello studio dello scattering delle particelle di spin elevato, partendo dal caso senza spin. In particolare, il contributo del polo di Regge all’ampiezza di scattering delle elicità arbitrarie si costruisce tenendo presenti le modifiche necessarie perchè si addattino alla struttura fondamentale del taglio di Mandelstam. Si propone un nuovo contributo modificato del polo di Regge con punto di ramificazione in radice quadrata.

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Literatur

  1. (1).
    T. W. B. Kibble:Phys. Rev.,134, 2282 (1963). We shall assume in the following that bothλ andμ are either integers or half-integers and no analytic continuation to nonphysical values of these parameters will be made.MathSciNetADSCrossRefGoogle Scholar
  2. (2).
    A. Erdelyi, W. Magnus, F. Oberhettinger andF. G. Tricomi:Higher Transcendental Functions, Vol.1 (New York, 1953), p. 102.Google Scholar
  3. (3).
    N. N. Khuri:Phys. Rev.,130, 429 (1963).MathSciNetADSCrossRefGoogle Scholar
  4. (4).
    E. Jone: Lawrence Radiation Laboratory Report UCRL-10700 (1963).Google Scholar
  5. (5).
    A somewhat different type of relation has been obtained byM. Gell-Mann, M. L. Goldberger, F. E. Low, E. Marx andF. Zachariasen:Phys. Rev.,133, B 145 (1964).MathSciNetADSCrossRefGoogle Scholar
  6. (6).
    A. Erdélyi, W. Magnus, F. Oberhettinger andF. G. Tricomi:Higher Transcendental Functions, Vol.1 (New York, 1953), p. 102, eqs. (21), (18).Google Scholar
  7. (7).
    S. C. Frautschi:Regge Poles and S-Matrix Theory (New York, 1963) p. 151.Google Scholar

Copyright information

© Società Italiana di Fisica 1965

Authors and Affiliations

  • G. Mohan
    • 1
  1. 1.National Physical LaboratoryNew Delhi

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