Skyrme energy functional and low lying<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mn>2</mml:mn><mml:mo>+</mml:mo></mml:msup></mml:math>states in Sn, Cd, and Te isotopes

Fleischer, Peter; Klüpfel, P.; Reinhard, P.‐G.; Maruhn, J. A.

doi:10.1103/physrevc.70.054321

Cited by 35 publications

(33 citation statements)

References 48 publications

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“…The pairing correlations are treated in the BCS approximation by using a delta pairing force [43,44], V pair (r, r ) = V q δ((r − r ). The pairing strength V p for protons and V n for neutrons depend on the mean-field parametrization and are fitted to the pairing gaps in the selected isotopic and isotonic chains [45]. The pairing energy functional is given by…”

Section: Skyrme Energy Density Functionalmentioning

confidence: 99%

Time-dependent Hartree-Fock studies of the dynamical fusion threshold

Guo

Nakatsukasa

2012

EPJ Web of Conferences

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Abstract.A microscopic description of dynamical fusion threshold in heavy ion collisions is performed in the framework of time-dependent Hartree-Fock (TDHF) theory using Skyrme energy density functional (EDF). TDHF fusion threshold is in a better agreement with experimental fusion barrier. We find that the onset of extra push lies at the effective fissility 33, which is consistent with the prediction of Swiatecki's macroscopic model. The extra push energy in our TDHF simulation is systematically smaller than the prediction in macroscopic model. The important dynamical effects and the way to fit the parameter might be responsible for the different results.

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Section: Skyrme Energy Density Functionalmentioning

confidence: 99%

Time-dependent Hartree-Fock studies of the dynamical fusion threshold

Guo

Nakatsukasa

2012

EPJ Web of Conferences

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“…The 2 + 1 excitation energies over a wide range of Cd isotopes calculated by several different mean-field approaches [18][19][20] are shown in Fig. 4(b).…”

Section: H Wang Et Almentioning

confidence: 99%

“…A quasiparticle random-phase approximation (QRPA) calculation using the Skyrme force (Sly4) that includes the particle-particle residual interaction [19] overestimates the experimental data. The Skyrme-Hartree-Fock (SHF) model using a short-range pairing force, namely, the density-dependent δ interaction (DDDI) [20], predicts a much higher 2 + 1 excitation energy at N = 84 than those below N = 82. Both DDDI and HFB+5DCH calculations show a good agreement with the data for the lighter Cd isotopes (around N = 60-70).…”

Section: H Wang Et Almentioning

confidence: 99%

“…A prominent peak is . In (b), mean-field calculations using a mapped collective Hamiltonian and the D1S Gogny interaction [18] (solid line), QRPA [19] (dashed line), and SHF method with pairing forces DDDI [20] (dot-dashed line) are displayed for comparison. It is noted that the error bars are smaller than the symbol sizes, and the vertical dotted lines represent the magic numbers in both panels.…”

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confidence: 99%

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First spectroscopic information from even-even nuclei in the region “southeast” of Sn132 : Neutron-excitation dominance of the 21+ state in
Wang¹,
Aoi²,
Takeuchi³
et al. 2016
Phys. Rev. C

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The neutron-rich nucleus 132 Cd has been studied at the RIKEN Radioactive Isotope Beam Factory using in-beam γ -ray spectroscopy with two-proton removal reactions from 134 Sn. A γ -ray transition was observed at 618(8) keV and was assigned to the 2 + 1 → 0 + g.s. decay. The 2 + 1 state provides the first spectroscopic information from the even-even nuclei located in the region "southeast" of the doubly magic nucleus 132 Sn. The properties of nuclei with a few valence particles and/or holes outside a doubly magic core are essential for a fundamental understanding of the detailed structure of the atomic nucleus. In particular, exotic nuclei around 132 Sn have received much attention because 132 Sn contains the conventional proton and neutron magic numbers of 50 and 82, respectively, and lies relatively far from the line of β stability. Thus, it provides a key region to explore the possible modification of nuclear structure approaching the neutron drip line. Spectroscopic information from nuclei beyond 132 Sn is, however, very limited owing to difficulties in accessing this exotic region of the nuclear chart on the experimental forefront. Recent experimental results include spectroscopy of the N = 82 isotones located "south" of 132 Sn down to 128 Pd (Z = 46) [1][2][3], and the Z = 50 tin isotopes located in the "east" side up to 138 Sn (N = 88) [4][5][6]. However, experimental information in the "southeast" of 132 Sn is scarce. γ decays from the excited states of the odd-odd nucleus 132 In were reported recently [7]. No spectroscopic study has been performed for even-even nuclei in this region.The present Rapid Communication reports on the identification of the first 2 + state of 132 Cd (Z = 48,N = 84), located "southeast" of 132 Sn (see Fig. 1 measurements of 2 + 1 states for the even-even nuclei closest to 132 Sn in its surrounding quadrant, which is the first such instance among doubly magic nuclei that lie off the line of β stability. Such completeness enables us to investigate the proton and neutron contributions to the excitation.In this region, the 2 + 1 states in even-even nuclei reveal interesting phenomena in their neutron excitations. For the tin isotopes 134,136,138 Sn, the low-lying excited states can be described well by excitations of the valence neutrons outside the 132 Sn core [5,6]. Also, in the "northeast" quadrant, the neutron excitation dominance of the 2 + 1 → 0 + g.s. transition in 136 Te was reported [8] from the reduction in both the 2 + 1 excitation energy [E x (2 + 1 )] and the transition probability [B(E2)] relative to the N = 80 isotope ( 132 Te). Information on the 2 + 1 state is thus crucial for understanding the role of neutrons in the low-lying excitations in this region. It is, therefore, intriguing to extend such studies to the unexplored southeast quadrant, where the nuclei are even more neutron rich, in order to investigate the neutron contributions in the low-lying excitations of these exotic systems.The experiment was carried out at the Radioactive Isotope Beam Factory (RIB...

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“…Hartree-Fock (HF), HF+BCS, Hartree-Fock-Bogoliubov (HFB), both in their static and time-dependent variants, and in RPA. From the 1990s, Skyrme's interaction was also frequently employed in extensions of mean-field methods, such as the construction of a microscopic Bohr Hamiltonian [25,26], exact projection [27,28] and configuration mixing by the generator coordinate method (GCM) [29,30,[32][33][34][35]. Two issues were apparent from the beginning, one related to the adjustment of the parameters of the interaction and the other to its analytical form.…”

Section: Introductionmentioning

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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Skyrme energy functional and low lying2+states in Sn, Cd, and Te isotopes

Cited by 35 publications

References 48 publications

Time-dependent Hartree-Fock studies of the dynamical fusion threshold

Time-dependent Hartree-Fock studies of the dynamical fusion threshold

First spectroscopic information from even-even nuclei in the region “southeast” of Sn132 : Neutron-excitation dominance of the 21+ state in
Wang¹,
Aoi²,
Takeuchi³
et al. 2016
Phys. Rev. C

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

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Skyrme energy functional and low lying2+states in Sn, Cd, and Te isotopes

Cited by 35 publications

References 48 publications

Time-dependent Hartree-Fock studies of the dynamical fusion threshold

Time-dependent Hartree-Fock studies of the dynamical fusion threshold

First spectroscopic information from even-even nuclei in the region “southeast” of Sn132 : Neutron-excitation dominance of the 21+ state in Wang1, Aoi2, Takeuchi3 et al. 2016Phys. Rev. C

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

Contact Info

Product

Resources

About

First spectroscopic information from even-even nuclei in the region “southeast” of Sn132 : Neutron-excitation dominance of the 21+ state in
Wang¹,
Aoi²,
Takeuchi³
et al. 2016
Phys. Rev. C