Relativistic Hamiltonians in many-body theories

Details Relativistic Hamiltonians in many-body theories Relativistic Hamiltonians in many-body theories

1995-12-19

arxiv.org/abs/nucl-th/9512026v1

Phys.Rev.C53:2801-2808,1996

Physics

Nuclear Physics

Nuclear Theory

14 pages, uses REVTeX and epsfig, 3 postscript figures; a postscript version of the paper is available by anonymous ftp at f

Scientific paper

10.1103/PhysRevC.53.2801

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.

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