Relativistic Hamiltonians in many-body theories
Nuclear Theory
2008-11-26 v1
Abstract
We discuss the description of a many-body nuclear system using Hamiltonians that contain the nucleon relativistic kinetic energy and potentials with relativistic corrections. Through the Foldy-Wouthuysen transformation, the field theoretical problem of interacting nucleons and mesons is mapped to an equivalent one in terms of relativistic potentials, which are then expanded at some order in 1/m_N. The formalism is applied to the Hartree problem in nuclear matter, showing how the results of the relativistic mean field theory can be recovered over a wide range of densities.
Keywords
Cite
@article{arxiv.nucl-th/9512026,
title = {Relativistic Hamiltonians in many-body theories},
author = {P. Amore and M. B. Barbaro and A. De Pace},
journal= {arXiv preprint arXiv:nucl-th/9512026},
year = {2008}
}
Comments
14 pages, uses REVTeX and epsfig, 3 postscript figures; a postscript version of the paper is available by anonymous ftp at ftp://carmen.to.infn.it/pub/depace/papers/9512