Highly branched and soluble glucose polymers (i), comprising below 1% reducing sugars 13- 17% alpha -1,6 glucosidic links molecular weight 0.9-1.5 multiply 105 D and are characterized by the following distribution of branched chain length (expressed as degree of polymerization and DP): 70- 85% below DP15 10- 16% DP15-25 and 8- 13% over DP25 and are new. - An INDEPENDENT CLAIM is also included for producing (i) by enzymatic treatment of an aqueous starch solution.