The spin components of skyrme interactions and spectra of light deformed nuclei

Caurier, E.; Grammaticos, B.

doi:10.1016/0370-2693(80)90253-1

Cited by 9 publications

(2 citation statements)

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“…It has been shown that some parametrizations of the Skyrme energy functional could be prone to finite size instabilities [90][91][92]. In particular, the time-even C ∆ρ t ρ t ∆ρ t and time-odd C ∆s t s t ∆s t terms could, in some cases, lead to divergences of the hfb iterative procedure.…”

Section: E Finite-size Instabilities Of Band-head Calculationsmentioning

confidence: 99%

One-quasiparticle States in the Nuclear Energy Density Functional Theory

Schunck,

Dobaczewski,

McDonnell

et al. 2009

Preprint

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We study one-quasiproton excitations in the rare-earth region in the framework of the nuclear Density Functional Theory in the Skyrme-Hartree-Fock-Bogoliubov variant. The blocking prescription is implemented exactly, with the time-odd mean field fully taken into account. The equal filling approximation is compared with the exact blocking procedure. We show that both procedures are strictly equivalent when the time-odd channel is neglected, and discuss how nuclear alignment properties affect the time-odd fields. The impact of time-odd fields on calculated one-quasiproton bandhead energies is found to be rather small, of the order of 100-200 keV; hence, the equal filling approximation is sufficiently precise for most practical applications. The triaxial polarization of the core induced by the odd particle is studied. We also briefly discuss the occurrence of finite-size spin instabilities that are present in calculations for odd-mass nuclei when certain Skyrme functionals are employed.

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Section: E Finite-size Instabilities Of Band-head Calculationsmentioning

confidence: 99%

One-quasiparticle States in the Nuclear Energy Density Functional Theory

Schunck,

Dobaczewski,

McDonnell

et al. 2009

Preprint

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“…It is known that some Skyrme ED parameterizations are prone to finite-size instabilities [81,[86][87][88]. For instance, in the time-even channel, the term C ∆ρ 1 ρ 1 ∆ρ 1 can lead to divergences of the HFB iterative procedure.…”

Section: Stability Check Of Unedfnb and Unedfprementioning

confidence: 99%

Nuclear Energy Density Optimization

Kortelainen,

Lesinski,

Moré

et al. 2010

Preprint

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We carry out state-of-the-art optimization of a nuclear energy density of Skyrme type in the framework of the Hartree-Fock-Bogoliubov (HFB) theory. The particle-hole and particle-particle channels are optimized simultaneously, and the experimental data set includes both spherical and deformed nuclei. The new model-based, derivative-free optimization algorithm used in this work has been found to be significantly better than standard optimization methods in terms of reliability, speed, accuracy, and precision. The resulting parameter set unedfpre results in good agreement with experimental masses, radii, and deformations and seems to be free of finite-size instabilities. An estimate of the reliability of the obtained parameterization is given, based on standard statistical methods. We discuss new physics insights offered by the advanced covariance analysis.

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