2024/12/10 by M. V. Egorov, Egorov, Mikhail
Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #FOS: Physical sciences #Nonlinear Waves and Solitons #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2412.07572
openalex publication_date 2024/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The approach of direct integration of the three-dimensional Faddeev equations with respect to the breakup T-matrix in momentum space for three bodies of different masses is presented. The Faddeev equations are written out explicitly without the requirement for symmetry or antisymmetry of two-body t matrices, taking into account the difference in the masses of three interacting particles. An algorithm for the algebraic search for non-relativistic wave functions of a system of three bodies of different masses is described. A significant change in the domain of logarithmic singularities of the integral kernels of the Faddeev equations from the choice of masses of interacting particles is demonstrated.