%0 Journal Article %A A. Maghari and V. H. Maleki %D 2015 %J International Journal of Nuclear and Quantum Engineering %B World Academy of Science, Engineering and Technology %I Open Science Index 106, 2015 %T Quantum Statistical Mechanical Formulations of Three-Body Problems via Non-Local Potentials %U https://publications.waset.org/pdf/10002507 %V 106 %X In this paper, we present a quantum statistical mechanical formulation from our recently analytical expressions for partial-wave transition matrix of a three-particle system. We report the quantum reactive cross sections for three-body scattering processes 1+(2,3)→1+(2,3) as well as recombination 1+(2,3)→1+(3,1) between one atom and a weakly-bound dimer. The analytical expressions of three-particle transition matrices and their corresponding cross-sections were obtained from the threedimensional Faddeev equations subjected to the rank-two non-local separable potentials of the generalized Yamaguchi form. The equilibrium quantum statistical mechanical properties such partition function and equation of state as well as non-equilibrium quantum statistical properties such as transport cross-sections and their corresponding transport collision integrals were formulated analytically. This leads to obtain the transport properties, such as viscosity and diffusion coefficient of a moderate dense gas. %P 610 - 613