Critical exponents and corrections to scaling for bond trees in two dimensions

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Abstract
The author has analysed the newly obtained series of the radius of gyration Rn and the number of clusters Nn for n-bond trees (i.e. branch polymers without loops) on the square (nn and Nn are consistent with the corresponding values for lattice animals, while the correction-to-scaling exponent Delta 1 is inconsistent with the animal value. In addition, Delta 1 has different values for Rn ( Delta 1=0.635) and Nn ( Delta 1=1.3) for bond trees. He has also estimated an exponent delta characterising the density distribution: delta =2.69 for the triangular lattice.