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arXiv · 2412.07572

Three-dimensional integral Faddeev equations without a certain symmetry

Mikhail Egorov
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Abstract

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.

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Mikhail Egorov. 2024-12-10. Three-dimensional integral Faddeev equations without a certain symmetry. https://arxiv.org/abs/2412.07572

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