V. Bernard et al., CHIRAL PREDICTION FOR THE PI-N S-WAVE SCATTERING LENGTH-A(-) TO ORDER-O(M(PI)(4)), Physical review. C. Nuclear physics, 52(4), 1995, pp. 2185-2187
We evaluate the S-wave pion-nucleon scattering length alpha(-) in the
framework of heavy baryon chiral perturbation theory up-to-and-includi
ng terms of order M(pi)(4). We show that the order M(pi)(4) piece of t
he isovector amplitude at threshold, T-thr(-), vanishes exactly. We pr
edict for the isovector scattering length, 0.088M(pi+)(-1)less than or
equal to alpha(-)less than or equal to 0.0.96M(pi+)(-1).