Time-odd components in the mean field of rotating superdeformed nuclei

Dobaczewski, J.; Dudek, J.

doi:10.1103/physrevc.52.1827

Cited by 197 publications

(297 citation statements)

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“…can be expressed in terms of the Skyrme force parameters [34] (t 0 , x 0 , t 3 , x 3 , α) and the rest (24 second-order) coupling constants can be expressed in terms of the other seven Skyrme force parameters (t 1 , x 1 , t 2 , x 2 , W 0 , t e , t o ), and therefore, the time-odd coupling constants in the Skyrme EDF are linear combination of the time-even ones [32], see also Ref. [26,28,29] for further discussion.…”

Section: A the Skyrme Energy Density Functionalmentioning

confidence: 99%

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Toroidal high-spin isomers in the nucleus 120304

2017

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Background: Strongly deformed oblate superheavy nuclei form an intriguing region where the toroidal nuclear structures may bifurcate from the oblate spheroidal shape. The bifurcation may be facilitated when the nucleus is endowed with a large angular moment about the symmetry axis with I = Iz. The toroidal high-K isomeric states at their local energy minima can be theoretically predicted using the cranked self-consistent Skyrme-Hartree-Fock method.Purpose: We use the cranked Skyrme-Hartree-Fock method to predict the properties of the toroidal high-spin isomers in the superheavy nucleus 304 120184.Method: Our method consists of three steps: first, we use the deformation-constrained Skyrme-Hartree-FockBogoliubov approach to search for the nuclear density distributions with toroidal shapes. Next, using these toroidal distributions as starting configurations we apply an additional cranking constraint of a large angular momentum I = Iz about the symmetry z-axis and search for the energy minima of the system as a function of the deformation. In the last step, if a local energy minimum with I = Iz is found, we perform at this point the cranked symmetry-and deformation-unconstrained Skyrme-Hartree-Fock calculations to locate a stable toroidal high-spin isomeric state in free convergence. Results:We have theoretically located two toroidal high-spin isomeric states of 304 120184 with an angular momentum I=Iz=81 (proton 2p-2h, neutron 4p-4h excitation) and I=Iz=208 (proton 5p-5h, neutron 8p-8h) at the quadrupole moment deformations Q20 = −297.7 b and Q20 = −300.8 b with energies 79.2 MeV and 101.6 MeV above the spherical ground state, respectively. The nuclear density distributions of the toroidal high-spin isomers 304 120184(Iz=81 and 208 ) have the maximum density close to the nuclear matter density, 0.16 fm −3 , and a torus major to minor radius aspect ratio R/d = 3.25. Conclusions:We demonstrate that aligned angular momenta of Iz=81 and 208 arising from multi-particlemulti-hole excitations in the toroidal system of 304 120184 can lead to high-spin isomeric states, even though the toroidal shape of 304 120184 without spin is unstable. Toroidal energy minima without spin may be possible for superheavy nuclei with higher atomic numbers, Z 122, as reported previously [7].

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Section: A the Skyrme Energy Density Functionalmentioning

confidence: 99%

“…Invariance under local gauge transformations of the Skyrme energy density (1) links pairs of time-even and time-odd terms in the energy functional provided that the coupling constants fulfill the constraints [32]:…”

Section: A the Skyrme Energy Density Functionalmentioning

confidence: 99%

Toroidal high-spin isomers in the nucleus 120304

2017

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“…In the blocking calculations, the time-odd parts of the mean-field [28] appear. 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].…”

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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“…With regards to the non-adiabatic (diabatic) effects due to the fast nuclear rotation, rotation-induced timeodd components of one-body density have been introduced and analysed in Refs. [1,14], and detailed analysis [1,2,3,4] shows their importance in the identical and superdeformed bands. A dynamical and quantum origin of these diabatic or non-adiabatic effects appeared in the mean-field theory also exhibits one of the most interesting problems in the theory of nuclear collective motion.…”

Section: Introductionmentioning

confidence: 99%

“…A rapid expansion of applications of the mean-field methods both with [1,2,3,4,5,6,7] and without [8,9,10,11] self-consistency gives rise to various important theoretical issues in the microscopic theory of many-body system. Among others, a property change in the single-particle states and its dynamical relation to the mean-field, a stability of the excited mean-field, a restoration dynamics of broken symmetries for the excited mean-fields and a dynamics of the single-particle level crossing are interesting subjects to be explored.…”

Section: Introductionmentioning

confidence: 99%

Characteristic feature of self-consistent mean-field in level crossing region

GUO

2004

Nuclear Physics A

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A shape change of the self-consistent mean-field induced by a configuration change is discussed within the conventional constrained Hartree-Fock (CHF) theory. It is stressed that a single-particle level crossing dynamics should be treated carefully, because the shape of the mean-field in such a finite many-body system as the nucleus strongly changes depending on its configuration. This situation is clearly shown by applying an adiabatic assumption, where the most energetically favorable single-particle states are assumed to be occupied. The excited HF states and the continuouslyconnected potential energy curves are given by applying the configuration dictated CHF method.The effect of pairing correlation is discussed in the level crossing region. Triaxial deformed results in our Hartree-Fock-Bogoliubov (HFB) calculation with Gogny force nicely reproduce the available experimental data of Ge isotopes. From our numerical calculation, it is concluded that the CHFB state is more fragile than the CHF state in the level crossing region.

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Time-odd components in the mean field of rotating superdeformed nuclei

Cited by 197 publications

References 48 publications

Toroidal high-spin isomers in the nucleus 120304

Toroidal high-spin isomers in the nucleus 120304

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

Characteristic feature of self-consistent mean-field in level crossing region

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