The Schwinger Variational Method for Three Body Collisions
The Schwinger Variational Method for Three Body Collisions
Sidney Borowitz
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Verde, Helv. Phys. Acta XXIV 39 (I95I). 7. J. Schwinger, Lecture Notes on Nuclear Physics, Harvard University. J. Schwinger, B. A. Lippman, Phys. Rev. 79, kSl (I95O). g. Blatt and Jackson, Rev. Of Mod. Phys. 22, 77 (I95O). - 3 - II. Exchange Excluded \'!e consider in this section a collision of particle 1 incident on a hound system of particles 2 and 3. All three particles are different, so the complications arising from the Pauli principle can he neglected. The mass of particle 3 is taken to h...e infinite. This assumption is suitahle for a dis- cussion of the scattering of electrons hy hydrogen atoms with exchange effects neglected. It would not he suitahle for the description of the analogous nuclear prohlem, i. E. , the scattering of neutrons hy deuterons. For this latter prohlem the generalization of the work in Section H is straightforward, hut the material in Section m could not he generalized so easily. In all scattering prohlems the calculated quantity which is confronted vfith experiment is the differential scattering cross-section.
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