Solution of the Lippmann–Schwinger Equation for a Partial Wave Transition Matrix with Repulsive Coulomb Interaction
DOI:
https://doi.org/10.15407/ujpe62.03.0263Keywords:
partial wave transition matrix, Coulomb interaction, Lippmann–Schwinger equation, Fock method, analytical solutionAbstract
A special case where the Lippmann–Schwinger integral equation for the partial wave two-body Coulomb transition matrix for likely charged particles with a negative energy has an analytical solution has been considered. Analytical expressions for the partial s-, p-, and d-wave Coulomb transition matrices for repulsively interacting particles at the ground-state energy have been derived, by using the Fock method of stereographic projection of the momentum space onto a four-dimensional unit sphere.
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