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

Schunck, N.; Dobaczewski, J.; McDonnell, Jordan; Satuła, W.; Sheikh, J. A.; Staszczak, A.; Stoitsov, M. V.; Toivanen, Pekka

doi:10.1016/j.cpc.2011.08.013

Cited by 109 publications

(178 citation statements)

References 56 publications

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“…We present here some results of spontaneous fission pathway calculations with unedf1. All fission calculations were done with version 2.49t of the code hfodd [85] that can break all self-consistent symmetries along the fission path. At each point along the collective trajectory, the HO basis deformation and frequencies are determined from a standard nuclear surface, parametrized by surface deformations α λµ .…”

Section: Superdeformed States and Fission Barriersmentioning

confidence: 99%

Nuclear energy density optimization: Large deformations

et al. 2012

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A new Skyrme-like energy density suitable for studies of strongly elongated nuclei has been determined in the framework of the Hartree-Fock-Bogoliubov theory using the recently developed model-based, derivative-free optimization algorithm pounders. A sensitivity analysis at the optimal solution has revealed the importance of states at large deformations in driving the parameterization of the functional. The good agreement with experimental data on masses and separation energies, achieved with the previous parameterization unedf0, is largely preserved. In addition, the new energy density unedf1 gives a much improved description of the fission barriers in 240 Pu and neighboring nuclei.

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Section: Superdeformed States and Fission Barriersmentioning

confidence: 99%

Nuclear energy density optimization: Large deformations

et al. 2012

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“…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%

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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“…[32]. To compute the total energy E HFB and inertia tensor M C , we employed the symmetry-unrestricted HFB solver HFODD (v2.49t) [33]. To be consistent with the previous work [19], we use the Skyrme energy density functional SkM * [34] in the particle-hole channel.…”

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Pairing-induced speedup of nuclear spontaneous fission

et al. 2014

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Background: Collective inertia is strongly influenced at the level crossing at which quantum system changes diabatically its microscopic configuration. Pairing correlations tend to make the large-amplitude nuclear collective motion more adiabatic by reducing the effect of those configuration changes. Competition between pairing and level crossing is thus expected to have a profound impact on spontaneous fission lifetimes.Purpose: To elucidate the role of nucleonic pairing on spontaneous fission, we study the dynamic fission trajectories of 264 Fm and 240 Pu using the state-of-the-art self-consistent framework. Methods:We employ the superfluid nuclear density functional theory with the Skyrme energy density functional SkM * and a density-dependent pairing interaction. Along with shape variables, proton and neutron pairing correlations are taken as collective coordinates. The collective inertia tensor is calculated within the nonperturbative cranking approximation. The fission paths are obtained by using the least action principle in a four-dimensional collective space of shape and pairing coordinates.Results: Pairing correlations are enhanced along the minimum-action fission path. For the symmetric fission of 264 Fm, where the effect of triaxiality on the fission barrier is large, the geometry of fission pathway in the space of shape degrees of freedom is weakly impacted by pairing. This is not the case for 240 Pu where pairing fluctuations restore the axial symmetry of the dynamic fission trajectory. Conclusions:The minimum-action fission path is strongly impacted by nucleonic pairing. In some cases, the dynamical coupling between shape and pairing degrees of freedom can lead to a dramatic departure from the static picture. Consequently, in the dynamical description of nuclear fission, particle-particle correlations should be considered on the same footing as those associated with shape degrees of freedom.PACS numbers: 24.75.+i, 25.85.Ca, 21.60.Jz, 21.30.Fe, 27.90.+b Introduction -Nuclear fission is a fundamental phenomenon that is a splendid example of a large-amplitude collective motion of a system in presence of many-body tunneling. The corresponding equations involve potential, dissipative, and inertial terms [1]. The individualparticle motion gives rise to shell effects that influence the fission barriers and shapes on the way to fission, and also strongly impact the inertia tensor through the crossings of single-particle levels and resulting configuration changes [2][3][4]. The residual interaction between crossing configurations is strongly affected by nucleonic pairing: the larger pairing gap ∆ the more adiabatic is the collective motion [5][6][7][8][9].

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

Cited by 109 publications

References 56 publications

Nuclear energy density optimization: Large deformations

Nuclear energy density optimization: Large deformations

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

Pairing-induced speedup of nuclear spontaneous fission

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