1996
DOI: 10.1103/physrevc.53.2801
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Relativistic Hamiltonians in many-body theories

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 me… Show more

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Cited by 6 publications
(4 citation statements)
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“…We shall now attempt to recover the saturation value for the Coulomb sum rule by exploiting the FW formalism, which has been previously successfully used in a potential model description of nuclear matter [10]. The FW framework yields an expression for the response function which is convenient for the non-relativistic reduction, although it does not transparently display covariance.…”
Section: B the Foldy-wouthuysen Approachmentioning
confidence: 99%
“…We shall now attempt to recover the saturation value for the Coulomb sum rule by exploiting the FW formalism, which has been previously successfully used in a potential model description of nuclear matter [10]. The FW framework yields an expression for the response function which is convenient for the non-relativistic reduction, although it does not transparently display covariance.…”
Section: B the Foldy-wouthuysen Approachmentioning
confidence: 99%
“…Since our focus is placed on the quasielastic region where high-energy knockout of nucleons is kinematically favored, we believe that this model, while undoubtedly too simple to encompass the aspects of nuclear dynamics is nevertheless a convenient place to start in such explorations. Indeed, the problem of relativity in electroweak studies of nuclei is so difficult [9,10,11,12,13,14,15,16,17,18] that only in special frameworks such as the RFG can we hope to carry out all but rather severely approximated modeling.…”
Section: Introductionmentioning
confidence: 99%
“…The extensions necessary to include higher order relativistic terms will be discussed elsewhere (see, however, Refs. [13,20,21] for a few applications).…”
Section: Introductionmentioning
confidence: 99%