Extended two-particle Green{close_quote}s functions and optical potentials for two particle scattering by by many-body targets
- Theoretische Chemie, Universitaet Heidelberg, Im Neuenheimer Feld 253, D-69120 Heidelberg (Germany)
An extension of the fermionic particle-particle propagator is presented that possesses similar algebraic properties to the single-particle Green{close_quote}s function. In particular, this extended two-particle Green{close_quote}s function satisfies Dyson{close_quote}s equation and its self energy has the same analytic structure as the self energy of the single-particle Green{close_quote}s function. For the case of a system interacting with one-particle potentials only, the two-particle self energy takes on a particularly simple form, just like the common self energy does. The new two-particle self energy also serves as a well behaved optical potential for the elastic scattering of a two-particle projectile by a many-body target. Due to its analytic structure, the two-particle self energy avoids divergences that appear with effective potentials derived by other means. Copyright {copyright} 1996 Academic Press, Inc.
- OSTI ID:
- 450172
- Journal Information:
- Annals of Physics (New York), Vol. 252, Issue 2; Other Information: PBD: Dec 1996
- Country of Publication:
- United States
- Language:
- English
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