Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

Hellemans, V.; Heenen, Paul‐Henri; Bender, M.

doi:10.1103/physrevc.85.014326

Cited by 68 publications

(158 citation statements)

References 101 publications

(271 reference statements)

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“…In particular, using the LR formalism we have studied the presence of finite-size instabilities in the infinite medium. The presence of these modes can be related to the presence of analogous instabilities in finite nuclei [39,40,41,42]. In ref.…”

Section: Linear Response For 4th Order Componentmentioning

confidence: 98%

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Becker¹,

Davesne²,

Meyer³

et al. 2015

J. Phys. G: Nucl. Part. Phys.

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Abstract. The possibility of adding a D-wave term to the standard Skyrme effective interaction has been widely considered in the past. Such a term has been shown to appear in the next-to-next-to-leading order of the Skyrme pseudo-potential. The aim of the present article is to provide the necessary tools to incorporate this term in a fitting procedure: first, a mean-field equation written in spherical symmetry in order to describe spherical nuclei and second, the response function to detect unphysical instabilities. With these tools it will be possible to build a new fitting procedure to determine the coupling constants of the new functional.

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Section: Linear Response For 4th Order Componentmentioning

confidence: 98%

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Becker¹,

Davesne²,

Meyer³

et al. 2015

J. Phys. G: Nucl. Part. Phys.

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“…Therefore, in the blocking calculations, I ignore the time-odd meanfields by adopting the equal-filling approximation of the hfbtho code [27]. The influence of the time-odd part of the tensor term on the moments of inertia of collective rotational bands in superdeformed nuclei has been studied extensively [13].…”

Section: The Modelmentioning

confidence: 99%

“…This triggered a number of theoretical mean-field [7][8][9][10][11][12][13][14][15][16] and beyond mean-field studies [17][18][19][20]. The conclusion is that the tensor part of the interaction is essential for understanding SE [21].…”

Section: Introductionmentioning

confidence: 99%

Shell evolution aboveZ,N=50within Skyrme density functional theory: The impact of deformation and tensor interactions

Shi

2017

Phys. Rev. C

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Background Recent years have seen considerable effort in associating the shell evolution (SE) for a chain of isotones or isotopes with the underlying nuclear interactions. In particular, it has been fairly well established that the tensor part of the Skyrme interaction is indispensable for understanding certain SE above Z, N =50 shell closures, as a function of nucleon numbers.Purpose The purpose of the present work is twofold: (1) to study the effect of deformation due to blocking, on the SE above Z, N = 50 shell closures; (2) to examine the optimal parameterizations in the tensor part which gives a proper description of the SE above Z, N =50 shell closures.Methods I use Skyrme-Hartree-Fock-Bogoliubov (SHFB) method to compute the even-even vacua of the Z = 50 isotopes and N = 50 isotones. For Sb and odd-A Sn isotopes, I perform calculations with a blocking procedure which accounts for the polarization effects, including deformations.Results The blocking SHFB calculations show that the light odd-A Sb isotopes, with only one valence proton occupying down-sloping Ω = 11/2 − and Ω = 7/2 + Nilsson orbits, assume finite oblate deformations. This reduces the energy differences between 11/2 − and 7/2 + states by about 500 keV for 51Sb56−66, bringing the energy-difference curve closer to the experimental one. With UNE2T1 energy density functional (EDF), which differs from unedf2 parameterization by tensor terms, a better description of the slope of ∆e(π1h 11/2 − π1g 7/2 ) as a function of neutron number has been obtained. However, the trend of ∆e(π1g 7/2 − π2d 5/2 ) curve is worse using UNE2T1 EDF. ∆e(ν3s 1/2 − ν2d 5/2 ), and ∆e(ν1g 7/2 − ν2d 5/2 ) curve for N =50 isotones using UNE2T1 seems to be consistent with experimental data. The neutron SE of ∆e(ν1h 11/2 − ν1g 7/2 ), and ∆e(ν1g 7/2 − ν2d 5/2 ) for Sn isotopes are shown to be sensive to αT tensor parameter.Conclusions Within the Skyrme self-consistent mean-field model, the deformation degree of freedom has to be taken into account for Sb isotopes, N =51 isotones, and odd-A Sn isotopes when discussing variation of quantities like shell gap etc. The tensor terms are important for describing the strong variation of ∆E(Ω π = 11/2 − − 7/2 + ) in Sb isotopes. The SE of 1/2 + , and 7/2 + states in N =51 isotones may show signature for the existence of tensor interaction. The experimental excitation energies of 11/2 − , and 7/2 + states in odd-A Sn isotopes close to 132 Sn give prospects for constraining the αT parameter.

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“…The pairing functional depends on the local pair densitỹ ρ q (r) [55] of protons and neutrons, labeled by q = p, n, and the isoscalar local density ρ 0 (r). An energy cutoff of 5 MeV in the single-particle spectrum is taken above and below the Fermi energy [57].…”

Section: A the Energy Functionalmentioning

confidence: 99%

“…In case of deformed nuclei and when breaking intrinsic time-reversal symmetry, there are additional terms in the Skyrme EDF for which we refer to Refs. [36,55] The total energy is given by the sum of the Skyrme EDF (2), the Coulomb energy, the kinetic energy, the center-of-mass correction and the pairing energy. As in our previous studies, we have chosen a density-dependent zero-range pairing interaction [1,55,56], which leads to a functional of the form…”

Section: A the Energy Functionalmentioning

confidence: 99%

New parametrization of Skyrme's interaction for regularized multireference energy density functional calculations

et al. 2012

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Background Symmetry restoration and configuration mixing in the spirit of the generator coordinate method based on energy density functionals have become widely used techniques in low-energy nuclear structure physics. Recently, it has been pointed out that these techniques are ill-defined for standard Skyrme functionals, and a regularization procedure has been proposed to remove the resulting spuriosities from such calculations. This procedure imposes an integer power of the density for the density dependent terms of the functional. At present, only dated parameterizations of the Skyrme interaction fulfill this condition.Purpose To construct a set of parameterizations of the Skyrme energy density functional for multi-reference energy density functional calculations with regularization using the state-of-the-art fitting protocols.Method The parameterizations were adjusted to reproduce ground state properties of a selected set of doubly magic nuclei and properties of nuclear matter. Subsequently, these parameter sets were validated against properties of spherical and deformed nuclei.Results Our parameter sets successfully reproduce the experimental binding energies and charge radii for a wide range of singly-magic nuclei. Compared to the widely used SLy5 and to the SIII parameterization that has integer powers of the density, a significant improvement of the reproduction of the data is observed. Similarly, a good description of the deformation properties at A ∼ 80 was obtained.Conclusions We have constructed new Skyrme parameterizations with integer powers of the density and validated them against a broad set of experimental data for spherical and deformed nuclei. These parameterizations are tailor-made for regularized multi-reference energy density functional calculations and can be used to study correlations beyond the mean-field in atomic nuclei.

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Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

Cited by 68 publications

References 101 publications

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Shell evolution aboveZ,N=50within Skyrme density functional theory: The impact of deformation and tensor interactions

New parametrization of Skyrme's interaction for regularized multireference energy density functional calculations

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