  We investigate the value of the correlation function of an inhomogeneous
hard-sphere fluid at contact. This quantity plays a critical role in
Statistical Associating Fluid Theory (SAFT), which is the basis of a number of
recently developed classical density functionals. We define two averaged values
for the correlation function at contact, and derive formulas for each of them
from the White Bear version of the Fundamental Measure Theory functional, using
an assumption of thermodynamic consistency. We test these formulas, as well as
two existing formulas against Monte Carlo simulations, and find excellent
agreement between the Monte Carlo data and one of our averaged correlation
functions.
