One-quasiparticle states in the nuclear energy density functional theory

Schunck, N.; Dobaczewski, J.; McDonnell, Jordan; More, Jai; Nazarewicz, W.; Sarich, Jason; Stoitsov, M. V.

doi:10.1103/physrevc.81.024316

Cited by 177 publications

(233 citation statements)

References 88 publications

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“…Similar results are obtained for the variation of the C ∆s 1 ; an instability sets in at the same values as for C ∆s 0 . In fact, the instability of the C ∆s t s t · ∆s t terms at large positive values of C ∆s t 36 MeV fm 5 has already been pointed out earlier [21,84].…”

Section: A General Commentsmentioning

confidence: 61%

“…This choice is not unique. Other groups use SLy4 in their cranked HFB or QRPA calculations by setting just C T t = 0, keeping C s t and C ∆s t at their Skyrme-force values [21,28,40].…”

Section: F Parameterizationsmentioning

confidence: 99%

“…the self-consistent calculation of non-collective low-lying states in odd-A and odd-odd nuclei, or K isomers in even-even ones. The time-odd terms contribute to the total energy [7,[18][19][20][21][22][23] and their presence can strongly modify the expectation values of time-odd observables such as magnetic moments [24,25],…”

mentioning

confidence: 99%

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

2012

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This article extends previous studies on the effect of tensor terms in the Skyrme energy density functional by breaking of time-reversal invariance. We have systematically probed the impact of tensor terms on properties of superdeformed rotational bands calculated within the cranked HartreeFock-Bogoliubov approach for different parameterizations covering a wide range of values for the isoscalar and isovector tensor coupling constants. We analyze in detail the contribution of the tensor terms to the energies and dynamical moments of inertia and study their impact on quasi-particle spectra. Special attention is devoted to the time-odd tensor terms, the effect of variations of their coupling constants and finite-size instabilities.

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Section: A General Commentsmentioning

confidence: 61%

“…This choice is not unique. Other groups use SLy4 in their cranked HFB or QRPA calculations by setting just C T t = 0, keeping C s t and C ∆s t at their Skyrme-force values [21,28,40].…”

Section: F Parameterizationsmentioning

confidence: 99%

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

2012

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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: 97%

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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“…It has been shown [29,30] that ignoring time-odd parts of the Skyrme energy density functionals (EDFs) invites energy differences of the order of 100-200 keV compared to the energies obtained with time-odd coupling constants determined by Landau parameters or local-gauge invariance [31]. Therefore, in the blocking calculations, I ignore the time-odd meanfields by adopting the equal-filling approximation of the hfbtho code [27].…”

Section: The Modelmentioning

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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One-quasiparticle states in the nuclear energy density functional theory

Cited by 177 publications

References 88 publications

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

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

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

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