Abstract
We present an analysis of the Coulomb effects on the low energy behaviour of the partial wave amplitudes when the angular momentum λ is complex and restricted to Re λ ⩾ 0; only the repulsive Coulomb potential is considered. The analysis is simplified by means of a function Z ̂ (λ, κ) related, when λ is physical, to the Bethe-Landau-Smorodinsky effective-range function. Z ̂ (λ, κ) is free of Coulomb singularities and meromorphic in the strip | Imκ| < 1 2 m ( m is the range of the potential acting in addition to the Coulomb interaction) and it can generally be expanded in a power series around κ = 0. In such a way the threshold behaviour of the real part of the Regge trajectories is easily obtained. We analyse also the imaginary part and the residue of the Regge trajectories and we find that their behaviour is strongly modified by the Coulomb interaction.
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