Finite 3π Cut Approximation for the π NN Form Factor

Abstract

Assuming the length of the 3π cut to be finite and approximating the integrated amplitude by a constant, we derive an expression for the π NN form factor which is very close to that given by a simple pole. The specific predictions of the obtained form factor for the region of small momentum transfer are discussed along the lines of the Goldberger-Treiman relation.

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