Relativistic Thomas-Fermi calculations of finite nuclei including quantum corrections

Von-Eiff, D.; Weigel, M. K.

doi:10.1103/physrevc.46.1797

Cited by 13 publications

(5 citation statements)

References 37 publications

(52 reference statements)

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“…The charged mesons (π, ρ) first enter these calculations at the relativistic Hartree-Fock (HF) level, where the exchange interaction is included. Systematic studies at this level are contained in [Vo92a,Sh93,Zh93,Su93,Bo94,Ha94,Sc95a]. In nonrelativistic Hartree-Fock calculations with Skyrme interactions, one makes a phenomenological fit to nuclei using a contact NN interaction containing various powers of the density.…”

Section: B Nuclear Structurementioning

confidence: 99%

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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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Section: B Nuclear Structurementioning

confidence: 99%

“…Systematic studies at this level are contained in [Vo92a,Sh93,Zh93,Su93,Bo94,Ha94,Sc95a]. In nonrelativistic HartreeFock calculations with Skyrme interactions, one makes a phenomenological fit to nuclei using a contact NN interaction containing various powers of the density.…”

Section: B Nuclear Structurementioning

confidence: 99%

Recent Progress in Quantum Hadrodynamics

Serot

Walecka

1997

Int. J. Mod. Phys. E

989

1,511

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“…Until recently the semiclassical approach to the relativistic mean field theory had been settled at the TF level only [12,17,24,25,26]. However, in the last years some amount of work has been addressed to develop the relativistic extended Thomas-Fermi (RETF) method [27,28,29,30], that includes gradient corrections of order h2 in the particle density and the scalar field. This new semiclassical approach has already been applied to the study of finite nuclei [28,31,32,33] and of the nuclear surface in the symmetric case [28,34,35].…”

Section: Introductionmentioning

confidence: 99%

Semiclassical treatment of asymmetric semi-infinite nuclear matter: surface and curvature properties in relativistic and non-relativistic models

1998

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Surface and curvature properties of asymmetric semi-infinite nuclear matter are studied to beyond the proton drip. Using the semiclassical extended Thomas-Fermi method, the calculations are performed in the non-relativistic and relativistic mean field theories (Skyrme forces and non-linear σ−ω parametrizations). First we discuss the bulk equilibrium between the nuclear and drip phases. Next we analyze the asymmetric surface as a function of the bulk neutron excess. We examine local quantities related to the density profiles and, for two definitions of the bulk reference energy, the surface and curvature energy coefficients. The calculation of the curvature energy is carefully treated. The sensitivity of the nuclear surface to the relativistic effects is investigated. Mass formulae useful for arbitrary neutron excess are discussed, and their limit at small asymmetries is compared with the liquid droplet model mass formula.

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“…The corrections of order 2 to the pure TF problem were derived by Baraff and Borowitz [25] using Green's function techniques, and by Bander [26] using the WKB approach to Hartree equations. Also in nuclear physics the idea of including 2 corrections perturbatively, but in a rather heuristic way, has been carried out by Von-Eiff and Weigel [27] within the relativistic _&| model [28]. In particular, this study differs from ours in that the chemical potential * is not split into 2 orders.…”

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confidence: 96%