Abstract
Two types of invariant expansions of scattering amplitude based on group O(3, 1) that can be considered as generalizations of the partial wave analysis are studied. They are shown to be identical with the Fourier transform of the modified parital waves, the modification being given by integrating or differentiating the partial wave. We search for a simple physical use of expansion coefficients, the so-called Lorentz amplitudes, and find the connection between the poles of Lorentz amplitude and the high-energy behaviour of the partial wave; the relation between the Lorentz amplitude and the position of the Regge poles is precisely formulated.
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References
Beresteckii V. B., Lifshic E. M., Pitajevskii L. P., Relyativistskaya kvantovaya teoriya. Nauka, Moskva 1968, 311.
Eden R. J. et al., The Analytic S-Matrix. Cambr. University Press 1966.
Winternitz P.,in Lectures in Theor. Phys. 13. Boulder 1971.
Hicks H. R., Winternitz P., Phys. Rev.D4 (1971), 2339.
Sheftel M., Smorodinskij J., Winternitz P., Jad. Fizika7 (1968), 1325.
Pajas P., Winternitz P., Phys. Rev.D1 (1970), 1105.
Shukre C. S.,Winternitz P., Pittsburgh Univ. Preprint (to be published).
Vilenkin N. J., Smorodinskij J., ZhETF46 (1964), 1793.
Gradshteyn I. S., Ryzhik I. M., Tablicy integralov. Nauka, Moskva 1971.
Collins P. D. B., Squires E. J., Regge poles in Particle Physics. Springer, Berlin 1968.
Korn G. A., Korn T. M., Mathematical Handbook. McGraw-Hill, New York 1961.
Sheftel M., Smorodinskij J., Winternitz P., Jad. Fizika8 (1968), 833.
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Znojil, M. Properties of two-variable expansions of scattering amplitude. Czech J Phys 23, 685–695 (1973). https://doi.org/10.1007/BF01593857
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DOI: https://doi.org/10.1007/BF01593857