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

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 (n<or=14) and triangular (n<or=11) lattices to estimate the critical parameters. respective estimates of the exponents nu and theta for Rn 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.