\vspace{1cm} Self-consistent Green's function method \\ for nuclei and nuclear matter
W.\ H.\ Dickhoff$^{1}$ and C.\ Barbieri$^{2}$
$^1$Department of Physics
St.Louis
Missouri 63130
USA
$^2$TRIUMF
4004 Wesbrook Mall
Vancouver
British Columbia
Canada V6T 2A3
Recent results obtained by applying the method of self-consistent Green's functions to nuclei and nuclear matter are reviewed. Particular attention is given to the description of experimental data obtained from the (e,e$'$p) and (e,e$'$2N) reactions that determine one and two-nucleon removal probabilities in nuclei since the corresponding amplitudes are directly related to the imaginary parts of the single-particle and two-particle propagators. For this reason and the fact that these amplitudes can now be calculated with the inclusion of all the relevant physical processes, it is useful to explore the efficacy of the method of self-consistent Green's functions in describing these experimental data. %\ Results for both finite nuclei and nuclear matter are discussed with particular emphasis on clarifying the role of short-range correlations in determining various experimental quantities. The important role of long-range correlations in determining the structure of low-energy correlations is also documented. For a complete understanding of nuclear phenomena it is therefore essential to include both types of physical correlations. We demonstrate that recent experimental results for these reactions combined with the reported theoretical calculations yield a very clear understanding of the properties of all protons in the nucleus. We propose that this knowledge of the properties of constituent fermions in a correlated many-body system is a unique feature of nuclear physics.
RevSCGF_mainwf.tex
%stylefile for "Progress in Particle and Nuclear Physics" from 20. March 2003
\documentclass[twoside,12pt]{article}
\usepackage{epsfig}
\usepackage{axodraw}
\usepackage{colordvi}
\usepackage{graphicx}
\usepackage{bm}
\usepackage{amsmath}
\newcommand{\eep}{(e,e$'$p)}
\newcommand{\bra}[1]{\left\langle #1\right|}
\newcommand{\ket}[1]{\left| #1\right\rangle}
\def\Journal#1#2#3#4{{#1} {#2} (#4) #3 }
\def\NCA{{\em Nuovo Cimento} A}
\def\PHYS{{\em Physica}}
\def\NPA{{\em Nucl. Phys.} A}
\def\MATH{{\em J. Math. Phys.}}
\def\PRO{{\em Prog. Theor. Phys.}}
\def\NPB{{\em Nucl. Phys.} B}
\def\PLA{{\em Phys. Lett.} A}
\def\PLB{{\em Phys. Lett.} B}
\def\PLD{{\em Phys. Lett.} D}
\def\PL{{\em Phys. Lett.}}
\def\PRL{\em Phys. Rev. Lett.}
\def\PREV{\em Phys. Rev.}
\def\PREP{\em Phys. Rep.}
\def\PRA{{\em Phys. Rev.} A}
\def\PRD{{\em Phys. Rev.} D}
\def\PRC{{\em Phys. Rev.} C}
\def\PRB{{\em Phys. Rev.} B}
\def\ZPC{{\em Z. Phys.} C}
\def\ZPA{{\em Z. Phys.} A}
\def\ANNP{\em Ann. Phys. (N.Y.)}
\def\RMP{{\em Rev. Mod. Phys.}}
\def\CHEM{{\em J. Chem. Phys.}}
\def\INT{{\em Int. J. Mod. Phys.} E}
\def\r{\vec r}
\def\R{\vec R}
\def\p{\vec p}
\def\P{\vec P}
\def\q{\vec q}
\def\ss{\mbox{\boldmath $\sigma$}}
\newcommand{\be}{\begin{equation}}
\newcommand{\ee}{\end{equation}}
\newcommand{\bea}{\begin{eqnarray}}
\newcommand{\eea}{\end{eqnarray}}
\newcommand{\nn}{\nonumber}
\topmargin-2.8cm
\oddsidemargin-1cm
\evensidemargin-1cm
\textwidth18.5cm
\textheight25.0cm
\begin{document}

%%%
%%%

\title{ \vspace{1cm} Self-consistent Green's function method \\
for nuclei and nuclear matter }
\author{W.\ H.\ Dickhoff$^{1}$  and  C.\ Barbieri$^{2}$ \\
\\
$^1$Department of Physics, Washington University,
	 St.Louis, Missouri 63130, USA  \\ 
$^2$TRIUMF, 4004 Wesbrook Mall, Vancouver, 
          British Columbia, Canada V6T 2A3 }
\maketitle
\begin{abstract} 
Recent results obtained by applying the method of
self-consistent Green's functions to nuclei and nuclear matter are reviewed.
Particular attention is given to the description of
experimental data obtained from the (e,e$'$p) and (e,e$'$2N) reactions
that determine one and two-nucleon removal probabilities in nuclei since
the corresponding amplitudes are directly related to the imaginary parts of 
the single-particle and two-particle propagators.
For this reason and the fact that these amplitudes can now be calculated with
the inclusion of all the relevant physical processes, 
it is useful to explore the efficacy of the 
method of self-consistent Green's functions in describing these experimental
data.
%\
Results for both finite nuclei and nuclear matter are discussed with
particular emphasis on clarifying the role of short-range correlations in
determining various experimental quantities.
The important role of long-range correlations in determining the structure
of low-energy correlations is also documented.
For a complete understanding of nuclear phenomena it is therefore essential
to include both types of physical correlations.
We demonstrate that recent experimental results for these reactions combined 
with the reported theoretical calculations yield a very clear 
understanding of the 
properties of \textbf{all} protons in the nucleus.
We propose that this knowledge of the properties of constituent fermions in
a correlated many-body system is a unique feature of nuclear physics.
\end{abstract}

\begin{flushleft}
TRIUMF preprint: TRI-PP-03-40
\end{flushleft}

\eject
\tableofcontents

\input  Sec1.txy    %\section{Introduction}

\input  Sec2c.txy     %\section{Formal development}

\input  Sec3c.txy    %\section{\label{sec:exp}\it
                     % Relation to experimental data}

\input  Sec4.txy    %\section{\label{sec:nucmat}\textit{
                     % Theoretical calculations for nuclear matter}}

\input  Sec5cc.txy    %\section{\label{sec:finnuc}\it 
                     % Theoretical calculations for finite nuclei}

\input  Sec6.txy     %\section{Comparison with other fermion systems}

\input  Sec7.txy     %\section{Summay and Outlook}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section*{Acknowledgments}
The authors wish to acknowledge the numerous collaborations that have
been instrumental in obtaining many of the results reviewed in this paper.
In particular we would like to thank Klaas Allaart, Mario Brand, 
Sigfrido Boffi, Yves Dewulf,
Chris Gearhart, Wouter Geurts,
Carlotta Giusti, Willem Hesselink,
Byron Jennings, Louk Lapik\'{a}s, Andrea Meucci,
Herbert M\"{u}ther, Franco Pacati, Artur Polls, Marco Radici,
Angels Ramos, Neil Robertson, Daniela Rohe, G\"{u}stl Rijsdijk,
Jean-Marc Sparenberg,
Libby Roth Stoddard, Dimitri Van Neck, Brian Vonderfecht, and
Michel Waroquier for important insights and fruitful collaborations.
This work was supported in part by the U.S. National Science Foundation
under Grant No.~PHY-0140316 and in part by the Natural
Sciences and Engineering Research Council of Canada (NSERC).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\input Bibliographyc.txy

\end{document}
