In the limiting case of small volume effects in linear polymer chains (when $\sqrt{N}v_0/l^3\ll 1$ ,
where $N$ is the number of links in the chain, $v_0$ is the excluded volume of the segment,
and $l$ is the length of one link), the distribution function is obtained for the probability of the distance between the ends of the chain. The calculation is made to second order inclusively in the parameter $\sqrt{N}v_0/l^3$ .