Abstract
A model is presented which incorporates the features of Regge asymptotic behavior and the particle spectrum, as well as having cuts in the energy plane from threshold. In addition, the amplitude incorporates some external-mass dependence and can accommodate nonlinear trajectorieswithout introducing spurious ancestors at the particle poles. A soft-meson amplitude is derived and automatically satisfies the Adler consisteney condition provided only the Regge trajectory is nonnegative at the Adler point. In the low-energy regime the model predicts the scattering lengths as a function of trajectory intercept. For values of the intercept comparable to those determined by the Adler condition in the Veneziano model, the current algebra results are essentially reproduced. The ππ phase shifts are also calculated.
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