Finite $3π$ Cut Approximation for the $πN\bar{N}$ Form Factor

Details Finite $3π$ Cut Approximation for the $πN\bar{N}$ Form Factor Finite $3π$ Cut Approximation for the $πN\bar{N}$ Form Factor

1993-12-30

arxiv.org/abs/hep-ph/9312356v1

Phys.Rev.C50:24-30,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, Latex

Scientific paper

10.1103/PhysRevC.50.24

Assuming the length of the $3\pi$ cut to be finite and approximating the integrated amplitude by a constant, we derive an expression for the $\pi N\bar{N}$ 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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