Abstract
The construction of Reggeized strong-interaction amplitudes is discussed in a series of three papers. In this paper (Paper I), the amplitude is expanded in a partial-wave series with the individual partial-wave amplitudes represented as products over direct-channel Regge-pole contributions. Unitarity bounds automatically hold for direct-channel processes. Such representations are shown to account for the essential features of both elastic and inelastic scattering, in terms of the Regge trajectories on several Riemann sheets. It is shown that difficulties usually associated with rising trajectories are naturally avoided in this formulation.
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