It has become clear that the self-consistent Ornstein-Zernike approximation (SCOZA) is a microscopic liquid-state theory that is able to predict the location of the critical point and of the liquid-vapour coexistence line of a simple fluid with high accuracy. However, applications of the SCOZA to continuum systems have been restricted up to now to liquids where the interatomic potentials consist of a hard-core part with an attractive two-Yukawa-tail part. We present here a reformulation of the SCOZA that is based on the Wertheim-Baxter formalism for solving the mean-spherical approximation for a hard-core-multi-Yukawa-tail fluid. This SCOZA version offers more flexibility and opens access to systems where the interactions can be represented by a suitable linear combination of Yukawa tails. We demonstrate the power of this generalized SCOZA for a model system of fullerenes; furthermore, we study the critical behaviour of a system with an explicitly density-dependent interaction where the phenomenon of double criticality is observed. Finally, we extend our SCOZA version to the case of a binary symmetric mixture and present and discuss results for phase diagrams.

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