Self-consistent hartree description of finite nuclei in a relativistic quantum field theory

Horowitz, C. J.; Serot, Brian D.

doi:10.1016/0375-9474(81)90770-3

Cited by 833 publications

(622 citation statements)

References 26 publications

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“…A model with 14-or 23-parameters goes significantly beyond the early relativistic models that were able to reproduce the saturation point of symmetric nuclear matter as well as various ground-state observables with only a handful of parameters (a single meson mass and three Yukawa couplings) [8,13,14]. Although fairly successful, those early models suffered from a major drawback: an unrealistically large incompressibility coefficient.…”

Section: A Relativistic Mean-field Modelsmentioning

confidence: 99%

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Fattoyev

Piekarewicz

2011

Phys. Rev. C

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Theoretical uncertainties in the predictions of relativistic mean-field models are estimated using a chi-square minimization procedure that is implemented by studying the small oscillations around the chi-square minimum. By diagonalizing the matrix of second derivatives, one gains access to a wealth of information-in the form of powerful correlations-that would normally remain hidden. We illustrate the power of the covariance analysis by using two relativistic mean-field models: (a) the original linear Walecka model and (b) the accurately calibrated FSUGold parametrization. In addition to providing meaningful theoretical uncertainties for both model parameters and predicted observables, the covariance analysis establishes robust correlations between physical observables. In particular, we show that whereas the correlation coefficient between the slope of the symmetry energy and the neutron-skin thickness of Lead is indeed very large, a 1% measurement of the neutron radius of Lead may only be able to constrain the slope of the symmetry energy to about 30%.

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Section: A Relativistic Mean-field Modelsmentioning

confidence: 99%

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Fattoyev

Piekarewicz

2011

Phys. Rev. C

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“…[24,25] for details concerning the operator and nucleon form factors; in all results presented in the next section we have not allowed for strangeness content in the nucleon.) We describe the bound nucleon states as self-consistent Dirac-Hartree solutions, derived within a RMF approach by using a Lagrangian containing σ, ω, and ρ mesons [26]. Ignoring all distortions from FSI leads to the description of the scattering wave function for the outgoing nucleon as a relativistic plane wave.…”

Section: A Relativistic Impulse Approximationmentioning

confidence: 99%

Final-state interactions in the superscaling analysis of neutral-current quasielastic neutrino scattering

et al. 2008

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Effects of strong final-state interactions in the superscaling properties of neutral-current quasielastic neutrino cross sections are investigated by using the relativistic impulse approximation as guidance. First-and second-kind scaling are analyzed for neutrino beam energies ranging from 1 to 2 GeV for the cases of 12 C, 16 O, and 40 Ca. Different detection angles of the outgoing nucleon are considered to sample various nucleon energy regimes. Scaling of the second kind is shown to be very robust. The validity of first-kind scaling is found to be linked to the kinematics of the process. Superscaling still prevails even in the presence of very strong final-state interactions, provided that some kinematical restrains are kept, and the conditions under which superscaling can be applied to predict neutral-current quasielastic neutrino scattering are determined.

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“…We adjust the parameters of the model in the Hartree valence approximation to nuclear matter properties following [24,4]. This gives …”

Section: Fixing Of the Parametersmentioning

confidence: 99%

Semiclassical expansions up to -order in relativistic nuclear physics

Caro

Arriola

Salcedo

1996

J. Phys. G: Nucl. Part. Phys.

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We present the first calculation of theh 4 -Wigner-Kirkwood corrections to a relativistic system of fermions in the presence of external scalar and vector potentials. The method we propose allows to compute efficiently semiclassical corrections to one body operators such as mean energies and local densities. It also preserves gauge invariance and produces explicitly convergent results despite some apparent divergencies at the classical turning points. As a byproduct we obtain theh 4 corrections stemming from the polarization of the Dirac sea. We apply our results to the relativistic σ-ω Lagrangian in the Hartree valence approximation. We compare the semiclassical expansion with the exact result and with the Strutinsky average whenever it can be obtained. We find that theh 4 corrections are much smaller than typical shell effects. Our results provide convincing arguments to neglect higher than second orderh effects in the Wigner-Kirkwood scheme to relativistic nuclear physics in the mean field approximation.

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Self-consistent hartree description of finite nuclei in a relativistic quantum field theory

Cited by 833 publications

References 26 publications

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Final-state interactions in the superscaling analysis of neutral-current quasielastic neutrino scattering

Semiclassical expansions up to -order in relativistic nuclear physics

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