GEOMETRICAL PROPERTIES OF A KUHNIAN POLYMER-CHAIN

We calculate the form factor H left bracket q right bracket , i. e. the generating function of the gyration radii, and the generating function G left bracket q right bracket of the end-to-end radii, to first order in the dimensionless second viral coefficient g, or in epsilon equals 4 minus d, d being the space dimension. These functions are calculated in the asymptotic limit of Kuhnian chains, i. e. very long chains in a good solvent.