Complex Kohn variational principle is applied to the numerical solution of the fully off-shell Lippmann-Schwinger equation for nucleon-nucleon scattering for various partial waves including the coupled \({ }^{3} S_{1}-{ }^{3} D_{1}\) channel. Analytic expressions are obtained for all the integrals i
Kohn's variational principle for rearrangement collisions
โ Scribed by Y Tikochinsky
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 294 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0003-4916
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โฆ Synopsis
By rewriting the Gell-Mann Goldberger transformation, a generalized Kato identity is obtained both in its prior and post forms. Dropping the second order terms from these identities, the prior and post forms of Kohn's variational principle are secured. The principle is applied to the discussion of the (d, p) reaction. It is shown that the DWBA amplitude for this reaction is a variational solution of the problem and as such is free from the theoretical difficulties associated with the perturbative approach.
๐ SIMILAR VOLUMES
An exact system of equations which describe the scattering of a system into a rearranged channel is derived. The method is based on a technique invented by Feshbach for deriving an equivalent Hamiltonian (or optical potential) for the scattering of a particle by a system of particles identical with
We investigate the Dirac time-dependent variational method for a system of non-ideal Bosons interacting through an arbitrary two body potential. The method produces a set of non-linear time dependent equations for the variational parameters. In particular we have considered small oscillations about