Superdeformations in Relativistic and Non-Relativistic Mean Field Theories

Afanasjev, A. V.

doi:10.1238/physica.topical.088a00010

Cited by 6 publications

(3 citation statements)

References 82 publications

(182 reference statements)

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“…Alignment properties of single-particle orbital in rotating potential can be accessed via effective (relative) alignments [10] of two compared rotational bands. This quantity sensitively depends on both the alignment properties of single-particle orbital by which two bands differ and polarization effects (mostly in time-odd mean fields) induced by the particle in this orbital [11]. Effective alignments are on average better reproduced in the covariant DFT (CDFT) calculations than in the cranked Nilsson-Strutinsky version of the MM approach based on phenomenological Nilsson potential, see comparisons presented in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…Effective alignments are on average better reproduced in the covariant DFT (CDFT) calculations than in the cranked Nilsson-Strutinsky version of the MM approach based on phenomenological Nilsson potential, see comparisons presented in Refs. [11,12,13]. Reasonable description of effective alignments can be obtained also in Skyrme DFT [9,14], but it is somewhat plagued by the uncertainties in the definition of the coupling constants for time-odd mean fields [14,15].…”

Section: Introductionmentioning

confidence: 99%

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Deformed one-quasiparticle states in covariant density functional theory

2011

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Systematic investigation of the accuracy of the description of the energies of deformed one-quasiparticle states has been performed in covariant density functional theory in actinide and rare-earth mass regions. The sources of the discrepancies between theory and experiment are analyzed. Although some improvements in the description of ground state configurations and one-quasiparticle spectra can be achieved by better parametrization of the relativistic mean field Lagrangian, the analysis suggests that spectroscopic quality of their description can be achieved only in theoretical framework which takes into account particle-vibration coupling.Comment: 7 pages, 4 figure

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Deformed one-quasiparticle states in covariant density functional theory

2011

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“…Different theoretical methods based mainly on the concept of the cranking model of Inglis [5] have been employed for the quantitative description of various high-spin phenomena at SD shapes, see for example recent overviews in Refs. [6,7]. The cranked version of the RMF theory -the Cranked Relativistic Mean Field (CRMF) theory [8][9][10][11] is amongst the most successful ones.…”

Section: Introductionmentioning

confidence: 99%

Cranked relativistic Hartree–Bogoliubov theory: formalism and application to the superdeformed bands in the A∼190 region

2000

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Cranked Relativistic Hartree-Bogoliubov (CRHB) theory is presented as an extension of Relativistic Mean Field theory with pairing correlations to the rotating frame. Pairing correlations are taken into account by a finite range two-body force of Gogny type and approximate particle number projection is performed by Lipkin-Nogami method. This theory is applied to the description of yrast superdeformed rotational bands observed in even-even nuclei of the A ∼ 190 mass region. Using the well established parameter sets NL1 for the Lagrangian and D1S for the pairing force one obtains a very successful description of data such as kinematic (J (1)) and dynamic (J (2)) moments of inertia without any adjustment of new parameters. Within the present experimental accuracy the calculated transition quadrupole moments Qt agree reasonably well with the observed data. PACS numbers: 21.60.-n, 21.60.Cs, 21.60.Jx, 27.80.+w The investigation of superdeformation in different mass regions still remains in the focus of low-energy nuclear physics. Experimental data on superdeformed rotational (SD) bands are now available in different parts of the periodic table, namely, in the A ∼ 60 [1], 80, 130, 150 and 190 [2] mass regions. This richness of data provides the necessary input for a test of different theoretical models and the underlying effective interactions at superdefor-mation. Cranked relativistic mean field (CRMF) theory developed in Refs. [3-5] represents one of such theories. It has been applied in a systematic way for the description of SD bands observed in the A ∼ 60 and A ∼ 150 mass regions. The pairing correlations in these bands are considerably quenched and at high rotational frequencies a very good description of experimental data is obtained in the unpaired formalism in most of the cases as shown in Refs. [5-9]. On the contrary, pairing correlations have a considerable impact on the properties of SD bands observed in the A ∼ 190 mass region and more generally on rotational bands at low spin. Different theoretical mean field methods have been applied for the study of SD bands in this mass region. These are the cranked Nilsson-Strutinsky approach based on a Woods-Saxon potential [10,11], self-consistent cranked Hartree-Fock-Bogoliubov approaches based either on Skyrme [12,13] or Gogny forces [14,15]. It was shown in different theoretical models [11-14,16] that in order to describe the experimental data on moments of inertia one should go beyond the mean field approximation and deal with fluctuations in the pairing correlations using particle number projection. This is typically done in an approximate way by the Lipkin-Nogami method [17-19]. With exception of approaches based on Gogny forces, special care should also be taken to the form of the pairing interaction. For example, quadrupole pairing has been used in addition to monopole pairing in the cranked Nilsson-Strutinsky approach [11]. A similar approach to pairing has also been used in projected shell model [20]. Density dependent pairing has been used in connection to...

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Model for Independent Particle Motion

Afanasjev

2022

Handbook of Nuclear Physics

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Superdeformations in Relativistic and Non-Relativistic Mean Field Theories

Cited by 6 publications

References 82 publications

Deformed one-quasiparticle states in covariant density functional theory

Deformed one-quasiparticle states in covariant density functional theory

Cranked relativistic Hartree–Bogoliubov theory: formalism and application to the superdeformed bands in the A∼190 region

Model for Independent Particle Motion

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