Static-coherent-scattering function for a single polymer chain: Conformational space renormalization of polymers. V

The static-coherent-scattering function S (k,N) for a single polymer chain consisting of N units with full excluded-volume effect is calculated by the renormalized perturbation method in chain conformation space. S (k,N) is given in a closed form to order μ(=4-d, d being the spatial dimension) as a function of x=k2S2 with S2 the radius of gyration. It is found that I(x)=S (k,N)S (0,N) is very close to the I0 without any excluded-volume effect; the difference between I (x) and I0(x) is sufficiently small to probably preclude experimental measurement. However, there still remains the possibility of observing the excluded-volume effect on the dissymmetry coefficients which magnifies the difference between I (x) and I0(x).