Energy-Dependence of the Pion-Nucleon Coupling Constant

where Lrnax= Jrnax for the singlet and triplet uncoupled states and Lrnax= Jrnax±l for the triplet coupled states; a=1.7 for the phase shifts; k is the wave number of the incident wave. The value of the factor a has been chosen by taking into account overbrlm ming effects of the two-pion and heavy meson exdianges beyond the OPE force range. Absorption parameters r;LJ have been floated for J :::;;'Jrnax and put to r;LJ = 1 for J > Jrnax, with a in Eq. (2) being taken equal to 1 ~ 1.2. By unitarity, the absorption is an effect of beginning from two-pion exchange with the range of 0.5Pt/f..l;rC in the outermost region. Overbrimmingeffects of the inner interactions beyond this range exist up to the inter-nucleon distance of ~ Pt/f..l;rC. Poor x 2 -values have been resulted when searches with the Jrnax for r;'s smaller than the above one have been carried out. With this being taken into consideration, the value of a has been adopted as above. The mass of the exchanged pion has been assumed constant.