Two-Electron Capture From Helium-Like Atomic Systems by Completely Stripped Projectiles

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Solution to four-body version of the boundary corrected first Born (CB1-4B) approximation has been solved by D zevad Belki´c. We consider symmetric double-charge exchange in fast collisions of bare nuclei with helium-like atomic systems. We particularly are interested in the calculation of the four-body version of the boundary corrected second Born (CB2-4B) approximation with full account of the long-range Coulomb e ects arising from the relative motion of the scattering aggregates. Using the formalism of Perturbation Theory in Quantum Mechanics, we employ Lippman-Schwinger Equation with free Green Function. We write the transition matrix elements for the second order contribution as a set of nine integrals. This makes use of unperturbed wavefunctions from the entrance and exit channels. We did not consider calculating the matrix elements.
A Thesis Submitted to the Department of Mathematics in Partial Fulfilment of the Requirements for the Degree of Master of Science.