Ghost poles in the nucleon propagator: Vertex corrections and form factors

Krein, G.; Nielsen, M.; Puff, R. D.; Wilets, L.

doi:10.1103/physrevc.47.2485

Cited by 26 publications

(47 citation statements)

References 24 publications

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“…[35]). In nuclear matter models, such corrections have been introduced in analogy with the QED case, with the suppression of high momentum transfer arising from the virtual Bremsstrahlung of neutral vector ω mesons [36,37]. In our phenomenological model, this can as well be done through the introduction of phenomenological monopolar form factors for the nucleon at every vertex in the boson exchange diagrams as well as at every vertex in the loop calculation of the boson propagators.…”

Section: Dressed Meson Propagatorsmentioning

confidence: 99%

Screening effects on the elastic nucleon-nucleon cross section in relativistic nuclear matter

Díaz-Alonso¹,

Mornas²

1998

Nuclear Physics A

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We investigate the screening effects on the nucleon-nucleon elastic cross section inside nuclear matter at zero and finite temperature. The N-N interaction is described phenomenologically via meson exchanges (σ, π and ω) in the framework of a relativistic lagrangian model. The expressions for the in-medium meson propagators, which take into account the effects of matter polarization and renormalized vacuum polarization, are used in the calculation of the various meson contributions to the total cross section in the one-boson exchange approximation. The final expressions allow a satisfactory fit of the Coulomb substracted proton-proton cross section data in vacuum. At finite density or temperature the cross section is reduced as compared to the vacuum values and compatible with the existing experimental constraints. At high density the p-p differential cross section gets increasingly forward and backward peaked. The σ-ω mixing plays a key role in the understanding of the results.

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Section: Dressed Meson Propagatorsmentioning

confidence: 99%

Screening effects on the elastic nucleon-nucleon cross section in relativistic nuclear matter

Díaz-Alonso¹,

Mornas²

1998

Nuclear Physics A

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“…The summation of exchange diagrams only (i.e., HF theory at zero baryon density) is discussed in [Bi83,Bi84,Kr93].…”

Section: B Loops In Renormalizable Qhd Theoriesmentioning

confidence: 99%

“…An attempt to include the off-shell vertex in the RRPA calculation for QHD-I has been initiated in [Al95]; no concrete results exist yet for this very difficult calculation. A simplified approach to the baryon self-energy, using an ad hoc off-shell form factor and dispersion relations, is contained in [Kr93].…”

mentioning

confidence: 99%

Recent Progress in Quantum Hadrodynamics

Serot

Walecka

1997

Int. J. Mod. Phys. E

989

1,511

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Quantum hadrodynamics (QHD) is a framework for describing the nuclear many-body problem as a relativistic system of baryons and mesons. Motivation is given for the utility of such an approach and for the importance of basing it on a local, Lorentz-invariant lagrangian density. Calculations of nuclear matter and finite nuclei in both renormalizable and nonrenormalizable, effective QHD models are discussed. Connections are made between the effective and renormalizable models, as well as between relativistic mean-field theory and more sophisticated treatments. Recent work in QHD involving nuclear structure, electroweak interactions in nuclei, relativistic transport theory, nuclear matter under extreme conditions, and the evaluation of loop diagrams is reviewed.

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“…(2.7a) we retain only the density dependent part of nucleon propagators, which is dominant at relatively low density [21][22][23][24]. Inserting respectively Eq.…”

Section: By Bosonizationσmentioning

confidence: 99%

Determination of nuclear symmetry energy in the Cornwall-Jackiw-Tomboulis approach

Phat¹,

Anh

Long³

2008

Phys. Rev. C

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Within the Cornwall-Jackiw-Tomboulis (CJT) approach a general formalism is established for the study of asymmetric nuclear matter (ANM) described by the four-nucleon interactions. Restricting ourselves to the double-bubble approximation (DBA), we determine the bulk properties of ANM, in particular, the density dependence of the nuclear symmetry energy, which is in good agreement with data of recent analyses.

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Ghost poles in the nucleon propagator: Vertex corrections and form factors

Cited by 26 publications

References 24 publications

Screening effects on the elastic nucleon-nucleon cross section in relativistic nuclear matter

Screening effects on the elastic nucleon-nucleon cross section in relativistic nuclear matter

Recent Progress in Quantum Hadrodynamics

Determination of nuclear symmetry energy in the Cornwall-Jackiw-Tomboulis approach

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