Beyond the time independent mean field theory for nuclear and atomic reactions: Inclusion of particle-hole correlations in a generalized random phase approximation

Journal Article · Mon Jul 18 00:00:00 EDT 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.73.420· OSTI ID:7142267

Lemm, J C ^[1]; Giraud, B G ^[2]; Weiguny, A ^[3]

---

1. Institut fuer Theoretische Physik, Universitaet Muenster, 48149 Muenster (Germany)
2. Service de Physique Theorique, Saclay 91192 Gif/Yvette (France)
3. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606 (Japan)

The time independent mean field method for scattering defines biorthonormal sets of single-particle wave functions and corresponding creation and annihilation operators. Two-particle--two-hole (2[ital p]-2[ital h]) correlations can be introduced through a generalized random phase approximation; 1[ital p]-1[ital h] contributions vanish (Brillouin theorem). While the genreal variational method for scattering by Giraud and Nagarajan solves inhomogeneous Euler equations by inversion of the standard, Hermitean Hamiltonian, the present approach diagonalizes a non-Hermitean Hamiltonian, which carries the information about entrance and exit channels.

• OSTI ID: 7142267
• Journal Information: Physical Review Letters; (United States), Vol. 73:3; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
MEAN-FIELD THEORY
NUCLEAR REACTIONS
PARTICLE-HOLE MODEL
CORRELATIONS
RANDOM PHASE APPROXIMATION
ANNIHILATION OPERATORS
CREATION OPERATORS
HAMILTONIANS
SCATTERING
TIME DEPENDENCE
VARIATIONAL METHODS
WAVE FUNCTIONS
CALCULATION METHODS
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
QUANTUM OPERATORS
663300* - Nuclear Reactions & Scattering
General- (1992-)
663120 - Nuclear Structure Models & Methods- (1992-)