Teo. Ericson et al., Precision determination of the pi N scattering lengths and the charged pi NN coupling constant, NUCL PHYS A, 663, 2000, pp. 541C-544C
We critically evaluate the isovector GMO sumrule for the charged pi NN coup
ling constant using recent precision data from pi(-)p and pi(-)d atoms and
with careful attention to systematic errors. From the pi(-)d scattering len
gth we deduce the pion-proton scattering lengths 1/2(a(pi-p) + a(pi-n)) = (
-20 +/- 6(statistic)+/-10 (systematic))(-).10(-4)m(pi c)(-1) and 1/2(a(pi-p
) - a(pi-n)) = (903+/-14).10(-4)m(pi c)(-1). From this a direct evaluation
gives g(c)(2)(GMO)/4 pi = 14.20 +/- 0.07(statistic)+/-0.13(systematic) or f
(c)(2)/4 pi = 0.0786 +/- 0.0008.