Universal features of polymer shapes

Abstract
The equilibrium shapes of long chain polymers in a dilute solution in good solvent are investigated Rotationally invariant quantities Δ and S which characterize the average asymmetry and degree of prolate — or oblateness of a polymer configuration are defined These amplitude ratios are proved to be universal, and calculated to first order in an ε = 4 - d expansion. The polymers are shown to be on average quite asymmetric and prolate