Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis.

Dobaczewski, J.; Satuła, W.; Carlsson, B. G.; Engel, J.; Olbratowski, P.; Powałowski, P.; Sadziak, M.; Sarich, Jason; Schunck, N.; Staszczak, A.; Stoitsov, M. V.; Zalewski, M.; Zdunczuk, H.

doi:10.1016/j.cpc.2009.08.009

Cited by 117 publications

(185 citation statements)

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“…III C. To conform with HT, the average value F t = 3073.6(12)s was calculated by using the Gaussian-distribution-weighted formula. However, unlike HT, we do not apply any fur- ther corrections to F t. This leads to |V ud | = 0.97397 (27), which agrees very well with both the HT result [2], |V (HT) ud | = 0.97418 (26), and the central value obtained from the neutron decay |V (ν) ud | = 0.9746(19) [9]. A survey of the |V ud | values deduced by using different methods is given in Fig.…”

Section: Theoretical Uncertainties and Error Analysissupporting

confidence: 73%

“…This difficulty is overcome by selecting first the subset of linearly independent states known as collective space [22], which is spanned, for each I and T , by the so-called natural states |ϕ; IM ; T T z (i) [26,27]. The entire Hamiltonian -including the ISB terms -is rediagonalized in the collective space, and the resulting eigenfunctions are:…”

Section: The Modelmentioning

confidence: 99%

“…While this property essentially precludes using SHZ2 in detailed nuclear structure studies, it also creates an interesting opportunity for investigating the quenching of ISB effects due to the large isospin-symmetry-restoring components of the force. All calculations presented below were done by using the code HFODD [26,37], version (2.48q) or higher, which includes both the angular-momentum and isospin projections. In order to obtain converged results for isospin mixing with respect to basis truncation, in our SV calculations we used N = 10 harmonic oscillator (HO) shells for A < 40 nuclei, 12 shells for 40 ≤ A < 62 nuclei, and 14 shells for A ≥ 62 nuclei.…”

Section: B the Choice Of Skyrme Interactionmentioning

confidence: 99%

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Isospin-breaking corrections to superallowed Fermiβdecay in isospin- and angular-momentum-projected nuclear density functional theory

et al. 2012

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Background: The superallowed β-decay rates provide stringent constraints on physics beyond the Standard Model of particle physics. To extract crucial information about the electroweak force, small isospin-breaking corrections to the Fermi matrix element of superallowed transitions must be applied.Purpose: We perform systematic calculations of isospin-breaking corrections to superallowed β-decays and estimate theoretical uncertainties related to the basis truncation, time-odd polarization effects related to the intrinsic symmetry of the underlying Slater determinants, and to the functional parametrization. Methods:We use the self-consistent isospin-and angular-momentum-projected nuclear density functional theory employing two density functionals derived from the density independent Skyrme interaction. Pairing correlations are ignored. Our framework can simultaneously describe various effects that impact matrix elements of the Fermi decay: symmetry breaking, configuration mixing, and long-range Coulomb polarization. Results:The isospin-breaking corrections to the I = 0 + , T = 1 → I = 0 + , T = 1 pure Fermi transitions are computed for nuclei from A=10 to A=98 and, for the first time, to the Fermi branch of the I, T = 1/2 → I, T = 1/2 transitions in mirror nuclei from A=11 to A=49. We carefully analyze various model assumptions impacting theoretical uncertainties of our calculations and provide theoretical error bars on our predictions. Conclusions:The overall agreement with empirical isospin-breaking corrections is very satisfactory. Using computed isospin-breaking corrections we show that the unitarity of the CKM matrix is satisfied with a precision better than 0.1%.

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Section: Theoretical Uncertainties and Error Analysissupporting

confidence: 73%

Section: The Modelmentioning

confidence: 99%

Section: B the Choice Of Skyrme Interactionmentioning

confidence: 99%

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Isospin-breaking corrections to superallowed Fermiβdecay in isospin- and angular-momentum-projected nuclear density functional theory

et al. 2012

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“…• Finally, the mixing of, in general, non-orthogonal states {Ψ (i) I } for all configurations i is performed by solving the Hill-Wheeler equation in the collective space spanned by the natural states corresponding to non-zero eigenvalues of their norm matrix, that is, by applying the same technique, which was used to handle the K−mixing alone [10].…”

Section: No-core Configuration-interaction Modelmentioning

confidence: 99%

Beta-Decay Studies in N ≈ Z Nuclei Using No-Core Configuration-Interaction Model

Satuła

Dobaczewski

Konieczka

2015

Proceedings of the Conference on Advances in Radioactive Isotope Science (ARIS2014)

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The no-core configuration-interaction model based on the isospin-and angular-momentum projected density functional formalism is introduced. Two applications of the model are presented: (i) determination of spectra of 0 + states in 62 Zn and (ii) determination of isospin-symmetry-breaking corrections to superallowed β-decay between isobaric-analogue 0 + states in 38 Ca and 38 K. It is shown that, without readjusting a single parameter of the underlying Skyrme interaction, in all three nuclei, the model reproduces the 0 + spectra surprisingly well.

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“…All SD band-head data used in this work are listed in Table. II. HFB calculations were performed with the DFT solvers HFBTHO [102] and HFODD [103][104][105][106][107]. To benchmark binding energies of superdeformed configurations, we employed several Skyrme EDFs in the particle-hole channel.…”

Section: A Survey Of Superdeformed Bandheads and Fission Isomersmentioning

confidence: 99%

Surface symmetry energy of nuclear energy density functionals

et al. 2011

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We study the bulk deformation properties of the Skyrme nuclear energy density functionals. Following simple arguments based on the leptodermous expansion and liquid drop model, we apply the nuclear density functional theory to assess the role of the surface symmetry energy in nuclei. To this end, we validate the commonly used functional parametrizations against the data on excitation energies of superdeformed band-heads in Hg and Pb isotopes, and fission isomers in actinide nuclei. After subtracting shell effects, the results of our self-consistent calculations are consistent with macroscopic arguments and indicate that experimental data on strongly deformed configurations in neutron-rich nuclei are essential for optimizing future nuclear energy density functionals. The resulting survey provides a useful benchmark for further theoretical improvements. Unlike in nuclei close to the stability valley, whose macroscopic deformability hangs on the balance of surface and Coulomb terms, the deformability of neutron-rich nuclei strongly depends on the surface-symmetry energy; hence, its proper determination is crucial for the stability of deformed phases of the neutronrich matter and description of fission rates for r-process nucleosynthesis.

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Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis.

Cited by 117 publications

References 28 publications

Isospin-breaking corrections to superallowed Fermiβdecay in isospin- and angular-momentum-projected nuclear density functional theory

Isospin-breaking corrections to superallowed Fermiβdecay in isospin- and angular-momentum-projected nuclear density functional theory

Beta-Decay Studies in N ≈ Z Nuclei Using No-Core Configuration-Interaction Model

Surface symmetry energy of nuclear energy density functionals

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