RESUMMATION IN THE MANY-NUCLEON PROBLEM
A description of the many-fermion system is considered wherein the choice of trial function for the energy is composed of excited hole-particle states plus the usual Slater determinant of occupied Hartree-Fock (H-F) states. The principle is, then, to arrange the adiabatic perturbation expansion so as to reflect this choice. In particular, one studies how the configuration mixing affects the fermion self-energies and thereby the spectrum of states. Densitydensity correlations play an important role in the analysis. These are of the particle-hole type, and their existence leads to an expression for the self- energy that depends upon the two-body scattering operator t up through the 4th order in that quantity. This is in the ladder approximation. Particle-hole scatterings modify the usual t-matrix of Brueckner's theory. It is found that the 2nd and 3rd order rearrangement energies appear quite naturally in the theory. The second of these exhibits the renormalization of the Fermi sea, occupied H-F states, which is characteristic of the particle-particle graphs in a density- correlated system. It is concluded that all these effects are included in the first-order fermion self-energy expression obtained by Martin and Schwinger. (auth)
- Research Organization:
- Los Alamos Scientific Lab., N.Mex.
- NSA Number:
- NSA-18-018669
- OSTI ID:
- 4051123
- Report Number(s):
- LADC-5900; 0029-5582
- Journal Information:
- Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B, Vol. Vol: 51; Other Information: LADC-5900. Orig. Receipt Date: 31-DEC-64
- Country of Publication:
- United States
- Language:
- English
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