New Form of Strip Approximation

Abstract

A detailed set of "bootstrap" equations is formulated for zero-spin "external" particles based on a combination of the $\frac{N}{D}$ method with the superposition of top-ranking Regge poles in all three reactions of a four-line connected part. The contribution from each pole arises from a distinct strip in the Mandelstam representation so that double counting is avoided. Only real values of $l$ with $l<~1$ need be considered in the bootstrap calculation. The amplitude emerging from our $\frac{N}{D}$ equations is meromorphic in the right-half $l$ plane, and the Regge poles approach high-energy limits that are dynamically determined and which in some cases may lie to the right of $l=0\mathrm{}$. The reduced residues vanish in the high-energy limit.