Beyond the MSA

r Ordering, Nodal Contraction, Nodal Ordering, Nodal Approximation 

To justify the MSA more fully, as well as to go beyond it, we need a 

Henderson et For mixed dipolar and Coulomb 4 , see Adleman and Deutch and Blum. For multipolar 4 , see Blum. For more general 4 , see Hpye et 

The short-range contribution h il 2) is defined graphically as the subsum of all cluster integrals in a graphical 4 -bond-/o-bond representation of h(l 2) such that points 1 and 2 are connected by a path of /o-bonds, where foil 2) represents the function — 1. One can define in a like manner, or equivalently, by an OZ equation 

It is also necessary to introduce some sort of ordering scheme that will permit the systematic determination of which contributions to c(l 2) and /i(l 2) can be neglected and which must be retained in their cluster expansions. We shall base our scheme on a range parameterization of w(l 2) of the form 

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Beyond the MSA Cluster Series Expansion and Generalized Mean... 

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