Three-dimensional integral Faddeev equations without a certain symmetry
Quantum Physics
2025-02-03 v2 Nuclear Theory
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.
Cite
@article{arxiv.2412.07572,
title = {Three-dimensional integral Faddeev equations without a certain symmetry},
author = {Mikhail Egorov},
journal= {arXiv preprint arXiv:2412.07572},
year = {2025}
}