Ambiguities in the dirac-brueckner approach

Nuppenau, C.; Lee, Y.J.; MacKellar, A.D.

doi:10.1016/0375-9474(89)90011-0

Cited by 29 publications

(35 citation statements)

References 8 publications

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“…These findings are in qualitative agreement with a previous work by Nuppenau et al [4]. weakens the momentum dependence whereas in the opposite case [6,19] the momentum dependence will be enhanced.…”

Section: A Momentum Dependence Of the Self-energysupporting

confidence: 93%

Scalar and vector decomposition of the nucleon self-energy in the relativistic Brueckner approach

et al. 1998

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We investigate the momentum dependence of the nucleon self-energy in nuclear matter. We apply the relativistic Brueckner-Hartree-Fock approach and adopt the Bonn A potential. A strong momentum dependence of the scalar and vector self-energy components can be observed when a commonly used pseudovector choice for the covariant representation of the T matrix is applied. This momentum dependence is dominated by the pion exchange. We discuss the problems of this choice and its relations to on-shell ambiguities of the T matrix representation. Starting from a complete pseudovector representation of the T matrix, which reproduces correctly the pseudovector pion-exchange contributions at the Hartree-Fock level, we observe a much weaker momentum dependence of the self-energy. This fixes the range of the inherent uncertainty in the determination of the scalar and vector self-energy components. Comparing to other work, we find that extracting the selfenergy components by a fit to the single particle potential leads to even more ambiguous results. ͓S0556-2813͑98͒04209-5͔ PACS number͑s͒: 21.30.ϩFe, 21.65.ϩf, 24.10.Cn

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Section: A Momentum Dependence Of the Self-energysupporting

confidence: 93%

Scalar and vector decomposition of the nucleon self-energy in the relativistic Brueckner approach

et al. 1998

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“…That this procedure is also not free from ambiguities has been noticed relatively early [8,16]. The whole problem arises from the no sea approximation in the standard approach.…”

Section: The Nuclear Self-energymentioning

confidence: 99%

“…In particular the second order OPEP is large and attractive at high densities and its interplay with Pauli-blocking leads finally to saturation. Relativistically the interaction V receives a density dependence since matrix elements of V are built between in-medium spinors (16). As discussed in [46] the tensor interactions V π , V η and the Pauli part of V ρ experience an additional reduction by the factor (m * /M ) 2 .…”

Section: Dirac Effects and Quenching Of The Tensor Forcesmentioning

confidence: 99%

“…The ambiguity problem has e.g. been pointed out by Nuppenau et al [16] and ter Haar and Malfliet [8] proposed a recipe to cure which was used by various groups: perform the projection, take the ps matrix element and replace it (due to physical reasons) by a pv one. This procedure was called the pseudo-vector choice.…”

Section: The Nuclear Self-energymentioning

confidence: 99%

“…contributions. This procedure is not free from ambiguities [16]. Due to identical matrix elements for positive energy states pseudo-scalar and pseudo-vector components cannot uniquely be disentangled for on-shell scattering.…”

Section: Introductionmentioning

confidence: 99%

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4 The Relativistic Dirac-Brueckner Approach to Nuclear Matter

Fuchs¹

2004

Extended Density Functionals in Nuclear Structure Physics

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An overview on the relativistic Dirac-Brueckner approach to the nuclear many-body problem is given. Different approximation schemes are discussed, with particular emphasis on the nuclear self-energy and the saturation mechanism of nuclear matter. I will further discuss extensions of the standard approach, amongst other things the inclusion of non-nucleonic degrees of freedom, many-body forces and finally compare relativistic and non-relativistic approaches.

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