No-core configuration-interaction model for the isospin- and angular-momentum-projected states

Satuła, W.; Bączyk, P.; Dobaczewski, J.; Konieczka, M.

doi:10.1103/physrevc.94.024306

Cited by 37 publications

(30 citation statements)

References 65 publications

(203 reference statements)

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“…In all such nuclei, irrespective of whether the nucleus contains an odd-proton or an odd-neutron, the dependence of the magnetic dipole moments on the isovector spinspin interaction is strong. Two exceptions from this rule are the cases of 47 Ca and 49 Sc, where only the neutron pair of spin-orbit partners is available for polarization and the response to the isovector spin-spin interaction is somewhat weaker. With increasing values of g ′ 0 , the calculated magnetic dipole moments significantly depart from the Schmidt limits.…”

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confidence: 99%

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Nuclear DFT analysis of electromagnetic moments in odd near doubly magic nuclei

Sassarini¹,

Dobaczewski²,

Bonnard³

et al. 2021

Preprint

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We use nuclear DFT approach to determine nuclear electric quadrupole and magnetic dipole moments in all one-particle and one-hole neighbors of eight doubly magic nuclei. We align angular momenta along the intrinsic axial-symmetry axis with broken time-reversal symmetry, which allows us to explore fully the self-consistent charge, spin, and current polarizations. Spectroscopic moments are determined for symmetry-restored wave functions and compared with available experimental data. We find that the obtained polarizations do not call for using quadrupole-or dipole-moment operators with effective charges or effective g-factors.

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confidence: 99%

“…We note here that deformed and polarized DFT states automatically include admixtures of large classes of states that in the spherical symmetry must be added explicitly. Nevertheless, mixing of different deformed and polarized DFT configurations [49] is an option that still needs to be considered.…”

mentioning

confidence: 99%

Nuclear DFT analysis of electromagnetic moments in odd near doubly magic nuclei

Sassarini¹,

Dobaczewski²,

Bonnard³

et al. 2021

Preprint

Self Cite

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“…combines the isocranking term ( 143) with the secondorder correction. Such approach, however, was later not too often employed, because the exact isospin restoration was early implemented (Caurier et al, 1980a,b;Caurier and Poves, 1982) and is now efficiently used (Satuła et al, 2016(Satuła et al, , 2009(Satuła et al, , 2010.…”

Section: Isospinmentioning

confidence: 99%

Symmetry restoration in mean-field approaches

Sheikh,

Dobaczewski,

Ring

et al. 2019

Preprint

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The mean-field approximation based on effective interactions or density functionals plays a pivotal role in the description of finite quantum many-body systems that are too large to be treated by ab initio methods. Examples are strongly interacting atomic nuclei and mesoscopic condensed matter systems. In this approach, the linear Schrodinger equation for the exact many-body wave function is mapped onto a non-linear density-dependent one-body potential problem. This approximation, not only provides computationally very simple solutions even for systems with many particles, but due to the non-linearity, it also allows for obtaining solutions that break essential symmetries of the system, often connected with phase transitions. However, mean-field approach suffers from the drawback that the corresponding wave functions do not have sharp quantum numbers and, therefore, many results cannot be compared directly with experimental data. In this article, we discuss general group theoretical techniques to restore the broken symmetries, and provide detailed expressions on the restoration of translational, rotational, spin, isospin, parity and gauge symmetries, where the latter corresponds to the restoration of the particle number. In order to avoid the numerical complexity of exact projection techniques, various approximation methods available in the literature are examined. We present applications of the projection methods to simple nuclear models, realistic calculations in relatively small configuration spaces, nuclear energy density functional theory, as well as in other mesoscopic systems. We also discuss applications of projection techniques to quantum statistics in order to treat the averaging over restricted ensembles with fixed quantum numbers. Further, unresolved problems in the application of the symmetry restoration methods to the energy density functional theories are highlighted. CONTENTSL. Other electronic systems 60 M. Other emerging directions 60 VIII. Projected statistics 61 A. Symmetry restoration at finite temperature 62 B. Thermo-field dynamics 63 IX. Summary, conclusions, and perspectives 63 X. Acknowledgments 64 A. Overlaps and matrix elements between HFB states: the generalized Wick's theorem 65

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“…More details concerning our method can be found in Ref. [7]. Contrary to the standard NSM, the model space of our DFT-NCCI approach is not fixed.…”

Section: The Dft-rooted No-core Configuration-interaction Modelmentioning

confidence: 99%

“…Bally and coworkers proposed a DFT-NCCI framework involving a Skyrme superfluid functional and applied it successfully to compute spectra and electromagnetic transition rates in 25 Mg [4]. Our group has developed a variant involving an unpaired Skyrme functional and a unique combination of angular-momentum and isospin projections and applied to calculate the spectra and β-decay rates in N ≈ Z nuclei from p-shell to medium mass nuclei around 62 Zn [5][6][7][8]. Recently, the DFT-NCCI method was applied to calculate spectra in neutron-rich 44 S and 64 Cr nuclei with the Gogny force [9,10], within the relativistic framework [11] in 54 Cr, or within the pairing-plus-quadrupole model in the magnesium chain [12].…”

Section: Introductionmentioning

confidence: 99%