Geodesic
An $S$-matrix regularization of the trace formula for a three-particle system
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part II, Tome 63 (1976), pp. 95-131

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A regularized trace formula is derived which expresses the trace of the connected part of the resolvent for a three-particle system in terms of the scattering matrices for two- and three-particle systems. This relation allows us to express the third cluster integral for Boltzmann statistics in terms of $S$-matrices. 
@article{ZNSL_1976_63_a3,
     author = {S. P. Merkur'ev},
     title = {An $S$-matrix regularization of the trace formula for a three-particle system},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {95--131},
     publisher = {mathdoc},
     volume = {63},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_63_a3/}
}
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S. P. Merkur'ev. An $S$-matrix regularization of the trace formula for a three-particle system. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part II, Tome 63 (1976), pp. 95-131. http://geodesic.mathdoc.fr/item/ZNSL_1976_63_a3/