The effective nuclear potential

Skyrme, T. H. R.

doi:10.1016/0029-5582(58)90345-6

Cited by 837 publications

(283 citation statements)

References 15 publications

Supporting

Mentioning

282

Contrasting

Order By: Relevance

“…One can start from a density-dependent zero-range two-body interaction as proposed by Skyrme [57,58] and define the Skyrme EDF as its Hartree-Fock expectation value [33,50,54]. We refer to this approach as forcegenerated EDF.…”

Section: Choice Of Independent Coupling Constants In the Edfmentioning

confidence: 99%

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

2012

View full text Add to dashboard Cite

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.

show abstract

Section: Choice Of Independent Coupling Constants In the Edfmentioning

confidence: 99%

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

2012

View full text Add to dashboard Cite

show abstract

“…In almost all the existing parameterizations of the most used effective interaction in HF and RPA self-consistent calculations, the Skyrme interaction, the tensor term is neglected, even though a zero-range tensor term was proposed in the original formulation of the force [14,15]. In the last years, tensor terms have been included either on top of existing Skyrme parametrizations like the SIII [16] and the SLy5 [17][18][19] forces (see Refs.…”

Section: Introductionmentioning

confidence: 99%

Tensor and tensor-isospin terms in the effective Gogny interaction

et al. 2012

View full text Add to dashboard Cite

We discuss the need of including tensor terms in the effective Gogny interaction used in meanfield calculations. We show in one illustrative case that, with the usual tensor term that is employed in the Skyrme interaction (and that allows us to separate the like-nucleon and the neutron-proton tensor contributions), we can describe the evolution of the N = 28 neutron gap in calcium isotopes.We propose to include a tensor and a tensor-isospin term in finite-range interactions of Gogny type. The parameters of the two tensor terms allow us to treat separately the like-nucleon and the neutron-proton contributions. Two parameterizations of the tensor terms have been chosen to reproduce different neutron single-particle properties in the 48 Ca nucleus and the energy of the first 0 − state in the 16 O nucleus. By employing these two parameterizations we analyze the evolution of the N = 14, 28, and 90 neutron energy gaps in oxygen, calcium and tin isotopes, respectively.We show that the combination of the parameters governing the like-nucleon contribution is crucial to correctly reproduce the experimental (where available) or shell-model trends for the evolution of the three neutron gaps under study.

show abstract

“…(8) is not necessarily related to a tensor force proposed by Skyrme [36,37]. However, in the present case, where parity symmetry is conserved, only the term containing vector part (J) of J 2 in Eq.…”

Section: The Modelmentioning

confidence: 74%

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

Shi

2017

Phys. Rev. C

View full text Add to dashboard Cite

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.

show abstract

The effective nuclear potential

Cited by 837 publications

References 15 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

Tensor and tensor-isospin terms in the effective Gogny interaction

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

Contact Info

Product

Resources

About