Abstract
The conformational properties of a star AB copolymer molecule composed of A and B branches with different kinds of interactions between units are studied as functions of the molecular height, the number of branches, and the interaction parameters. By means of calculations at the critical dimensionality d=4 up to first order in e=4-d, analytical expressions are obtained for the mean end-to-end square distances of one and two different branches, the sizes of homopolymers parts and the whole molecule, and the distance between the centers of mass of two different homopolymers
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