An approach to calculate the triplet structure of a simple liquid, that was
proposed some years ago by Barrat, Hansen, and Pastore [Phys. Rev. Lett. 5
8, 2075 (1987)] has been tested in the binary case. This approach is based
on a factorization ansatz for the triplet direct correlation function c((3)
); the unknown factor function is determined via the sum rule relating c((3
)) and the pair direct correlation function which is the only input informa
tion of the system that is required in this formalism. We present an effici
ent and stable numerical algorithm which solves the six (partly coupled) in
tegral equations for the unknown factor functions. Results are given for th
e case of a binary hard-sphere mixture and complemented by computer simulat
ion data. (C) 2000 American Institute of Physics. [S0021-9606(00)52332-0].