The self-consistent HMSA integral equation is derived for the square-w
ell fluid and tested against Monte Carlo simulations. The phase diagra
m and mechanical properties are well reproduced, as well as radial dis
tribution functions and structure factors. For narrow wells, the exten
t of vapour-liquid equilibria is reduced substantially, in qualitative
agreement with results for the attractive Yukawa system. A recent sti
cky hard sphere mapping is tested to determine its validity.