Green{close_quote}s function method with energy-independent vertex functions

Journal Article · Fri Mar 01 04:00:00 EST 1996 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.53.1249· OSTI ID:283406

Tsay Tzeng, S Y; Kuo, T T; Tzeng, Y; Geyer, H B; Navratil, P ^[1]

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1. National Taipei Institute of Technology, Taipei, Taiwan 10643, Republic of (China)

In conventional Green{close_quote}s function methods the vertex function {Gamma} is generally energy dependent. However, a model-space Green{close_quote}s function method where the vertex function is manifestly energy independent can be formulated using energy-independent effective interaction theories based on folded diagrams and/or similarity transformations. This is discussed in general and then illustrated for a 1{ital p}1{ital h} model-space Green{close_quote}s function applied to a solvable Lipkin many-fermion model. The poles of the conventional Green{close_quote}s function are obtained by solving a self-consistent Dyson equation and model space calculations may lead to unphysical poles. For the energy-independent model-space Green{close_quote}s function only the physical poles of the model problem are reproduced and are in satisfactory agreement with the exact excitation energies. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: New York State University Research Foundation
• DOE Contract Number: FG02-88ER40388
• OSTI ID: 283406
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 3 Vol. 53; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ENERGY DEPENDENCE
EXCITATION
GREEN FUNCTION
PARTICLE-HOLE MODEL
TRANSFORMATIONS
VERTEX FUNCTIONS