@article{(Open Science Index):https://publications.waset.org/pdf/10002507, title = {Quantum Statistical Mechanical Formulations of Three-Body Problems via Non-Local Potentials}, author = {A. Maghari and V. H. Maleki}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Nuclear and Quantum Engineering}, volume = {9}, number = {10}, year = {2015}, pages = {610 - 613}, ee = {https://publications.waset.org/pdf/10002507}, url = {https://publications.waset.org/vol/106}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 106, 2015}, }