Relativistic investigation of nuclear surface properties

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

doi:10.1103/physrevc.50.1436

Cited by 25 publications

(26 citation statements)

References 46 publications

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“…The properties of SINM have gained a lot of attention as well, see e.g. [21,23,39,[42][43][44][45][46] for non-relativistic models and [47][48][49][50][51][52][53][54] for relativistic interactions. We just want to repeat the findings relevant for our study, Table 1 summarises the coefficients of (10) as calculated from symmetric INM and SINM for a number of effective interactions.…”

Section: Nuclear Matter Propertiesmentioning

confidence: 99%

Consequences of the center–of–mass correction in nuclear mean–field models

Bender

Rutz

Reinhard

et al. 2000

EPJ A

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Abstract.We study the influence of the scheme for the correction for spurious center-of-mass motion on the fit of effective interactions for self-consistent nuclear mean-field calculations. We find that interactions with very simple center-of-mass correction have significantly larger surface coefficients than interactions for which the center-of-mass correction was calculated for the actual many-body state during the fit. The reason for that is that the effective interaction has to counteract the wrong trends with nucleon number of all simplified schemes for center-of-mass correction which puts a wrong trend with mass number into the effective interaction itself. The effect becomes clearly visible when looking at the deformation energy of largely deformed systems, e.g. superdeformed states or fission barriers of heavy nuclei.

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Section: Nuclear Matter Propertiesmentioning

confidence: 99%

Consequences of the center–of–mass correction in nuclear mean–field models

Bender

Rutz

Reinhard

et al. 2000

EPJ A

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“…In semi-infinite matter, the quantal result is free from shell effects and the only difference between semiclassical and quantal calculations comes from Friedel oscillations, at least in the non-relativistic framework (see Ref. [17] for relativistic mean field models, where spin-orbit fluctuations also may become important with some particular parametrizations of the relativistic interaction). Thus, Table I shows that the influence of Friedel oscillations is small [16].…”

Section: Introductionmentioning

confidence: 99%

Variational Wigner–Kirkwood ℏ Expansion

et al. 1998

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“…[13] for the case of SHF). The limited self-consistent calculations in SHF [14,15] and RMF [16] indicate that the quantum effects are non-negligible to the extent that they change the surface parameters by about 5%.…”

Section: Introductionmentioning

confidence: 99%

From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory

et al. 2006

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The parameters of the nuclear liquid drop model, such as the volume, surface, symmetry, and curvature constants, as well as bulk radii, are extracted from the nonrelativistic and relativistic energy density functionals used in microscopic calculations for finite nuclei. The microscopic liquid drop energy, obtained self-consistently for a large sample of finite, spherical nuclei, has been expanded in terms of powers of A −1/3 (or inverse nuclear radius) and the isospin excess (or neutron-to-proton asymmetry). In order to perform a reliable extrapolation in the inverse radius, the calculations have been carried out for nuclei with huge numbers of nucleons, of the order of 10 6 . The Coulomb interaction has been ignored to be able to approach nuclei of arbitrary sizes and to avoid radial instabilities characteristic of systems with very large atomic numbers. The main contribution to the fluctuating part of the binding energy has been removed using the Green's function method to calculate the shell correction. The limitations of applying the leptodermous expansion to actual nuclei are discussed. While the leading terms in the macroscopic energy expansion can be extracted very precisely, the higher-order, isospin-dependent terms are prone to large uncertainties due to finite-size effects.

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Relativistic investigation of nuclear surface properties

Cited by 25 publications

References 46 publications

Consequences of the center–of–mass correction in nuclear mean–field models

Consequences of the center–of–mass correction in nuclear mean–field models

Variational Wigner–Kirkwood ℏ Expansion

From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory

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