Self-consistent Green's function method for nuclei and nuclear matter

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 {\em 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.

110 pages, accepted for publication on Prog. Part. Nucl. Phys

References in corpus (6)

• Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei
• Saturation of nuclear matter and short-range correlations
• Extension of the Random Phase Approximation including the self-consistent coupling to two-phonon contributions
• On the NN-final-state-interaction in the ${}^{16}O(e,e^{\prime }pp)$ reaction
• Deuteron distribution in nuclei and the Levinger's factor
• Many-body approach to proton emission and the role of spectroscopic factors

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