Analytic properties of different unitarization schemes

Details Analytic properties of different unitarization schemes Analytic properties of different unitarization schemes

2007-12-04

arxiv.org/abs/0712.0621v2

Eur.Phys.J.ST162:37-42,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Presented at the Advanced Studies Institute "SYMMETRIES AND SPIN", Prague, Czech Republic, July 8 - July 14, 2007. In version

Scientific paper

10.1140/epjst/e2008-00773-0

The analytic properties of the eikonal and U-matrix unitarization schemes are examined. It is shown that the basic properties of these schemes are identical. Both can fill the full circle of unitarity, and both can lead to standard and non-standard asymptotic relations for the ratio of the elastic cross section to the total cross section. The relation between the phases of the unitarized amplitudes in each scheme is examined, and it is shown that demanding equivalence of the two schemes leads to a bound on the phase in the U-matrix scheme.

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