Aa. Bolokhov et N. Zovko, FINITE 3-PI CUT APPROXIMATION FOR THE PI-N(N)OVER-BAR FORM-FACTOR, Physical review. C. Nuclear physics, 50(1), 1994, pp. 24-30
Assuming the length of the 3pi cut to be finite and approximating the
integrated 4pi amplitude by a constant, we derive an expression for th
e piNNBAR form factor which is very close to that given by a simple po
le. The specific predictions of the obtained form factor for the regio
n of small momentum transfer are compared with existing effective pole
formulas and discussed along the lines of the Goldberger-Treiman rela
tion.