Asymptotic behaviour of the form factor of a long polymer in a good solvent

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Abstract
The form factor of a long polymer in a good solvent can be written in the form of a scaling law H(q) = h(q2 R2/2 d) (with h(0) = 1) where q is the transfer vector, d the space dimension and R2 the mean square end to end distance. For large values of x, h(x) ≃ h∞/x1/2ν where v ≃ 1/2 x (1 + ε/8 + ...) and by direct renormalization we find h∞ ≃ 2[1 - ε/8(5 - C) + ...] where C ≃ 0.577 (Euler's constant)