Two-Body Propagators with Dynamic Effective Interactions in a Many Fermion Medium. 2. S Channel
1977
23 pages
Published in:
- Annals Phys. 104 (1977) 251-273
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Abstract: (Elsevier)
In open-shell nuclear structure calculations collective excitations of the closed-shell core play an important role. When the energies of these excitations are comparable to the spread of energies in the model space a dynamic treatment of the core states is essential. In a Green function formulation dynamic core states, represented by particle-hole phonons, are included in the effective interaction of the s -channel integral equation for the fourfermion vertex function Γ. The solution of the equation is obtained analytically and from it the s -channel two-body propagator K is calculated. The structure of the propagator K reveals that, in addition to poles corresponding to the normal shell model states, many new poles of K are obtained. These correspond to two-particle- n -phonon configurations. Furthermore, it is shown that, due to the phonons, correlations of the ground state are induced in the calculation of the propagator K . The difference between these correlations and the well-known particle-particle-RPA correlations also included in the formalism is pointed out. The expressions derived can easily be handled numerically. In the calculations the physical states of single-particle and single-hole nuclei can be incorporated by an appropriate dressing of the single-fermion Green function.- PROPAGATOR: TWO-PARTICLE
- NUCLEAR REACTION
- STATISTICAL MECHANICS
- SOLIDS
- MANY-BODY PROBLEM: FERMION
- EXCHANGE: BOSON
- VERTEX FUNCTION: SCATTERING AMPLITUDE
- SCATTERING AMPLITUDE: VERTEX FUNCTION
- SYMMETRY: CROSSING
- QUANTUM MECHANICS: SCATTERING
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