Adler, JoanAharony, AmnonHarris, A. Brooks2023-05-232023-05-231984-09-012015-07-16https://repository.upenn.edu/handle/20.500.14332/43102In this paper we present extended mean cluster size series for the bond percolation problem for hypercubic lattices in d dimensions and analyze them for 4≤d≤9. Values of the critical exponent γ and the leading correction exponent Δ1 are deduced, and the Δ1 values for d>6 are compared with new analytic results.PhysicsArticle