Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-03-22
Eur.Phys.J.C10:159-173,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
36 pages (LaTex), 9 figures embedded with epsfig.sty
Scientific paper
10.1007/s100529900086
The Roy equation in the single channel case is a nonlinear, singular integral equation for the phase shift in the low-energy region. We first investigate the infinitesimal neighborhood of a given solution, and then present explicit expressions for amplitudes that satisfy the nonlinear equation exactly. These amplitudes contain free parameters that render the non-uniqueness of the solution manifest. They display, however, an unphysical singularity at the upper end of the interval considered. This singularity disappears and uniqueness is achieved if one uses analyticity properties of the amplitudes that are not encoded in the Roy equation.
Gasser Juerg
Wanders G.
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