Nuclear shell structure at very high angular momentum

Andersson, G.; Larsson, S E; Lèander, G.A.; Möller, P.; Nilsson, Sven Gösta; Ragnarsson, I.; Åberg, Sven; Bengtsson, R.; Dudek, J.; Nerlo-Pomorska, B.; Pomorski, K.; Szymański, Z.

doi:10.1016/0375-9474(76)90461-9

Cited by 517 publications

(140 citation statements)

References 11 publications

Supporting

Mentioning

136

Contrasting

Order By: Relevance

“…Here deformation parameters of the Nilsson potential are determined by means of Strutinsky minimization scheme [12] with the pairing correlation energy included. We consider quadrupole and hexadecupole deformation parameters (ǫ 2 , ǫ 4 ).…”

Section: Formulationmentioning

confidence: 99%

Shell effects on rotational damping in superdeformed nuclei

Yoshida

1998

Nuclear Physics A

View full text Add to dashboard Cite

Damping of collective rotational motion in A ∼ 190 and A ∼ 150 superdeformed nuclei is studied by means of the cranked shell model with two-body residual force. Numerical calculations predict that in a typical A ∼ 190 superdeformed nucleus,192 Hg, the rotational damping width is significantly small, Γrot ∼ 30 keV, and that the number of superdeformed bands in the off-yrast region amounts up to 150 at a given rotational frequency. These features are quite different from the prediction for A ∼ 150 superdeformed nuclei and rare-earth normally deformed nuclei. It is shown that the single-particle alignments of the cranked Nilsson orbits have strong shell oscillation. It affects significantly the properties of rotational damping in superdeformed 192 Hg.

show abstract

Section: Formulationmentioning

confidence: 99%

Shell effects on rotational damping in superdeformed nuclei

Yoshida

1998

Nuclear Physics A

View full text Add to dashboard Cite

show abstract

“…[4] on rare earths and actinides showed that, having reproduced the experimental equilibrium deformations of nuclei, one was able to reproduce their experimental moments of inertia. More specifically, using the cranking formula and a realistic model of intrinsic structure of a nucleus (realistic single-particle potentials plus pairing interaction), one was also able to reproduce the experimental ground state moments of inertia within the limits of 10% -25%.…”

Section: Introductionmentioning

confidence: 93%

“…The hexadecapole potential is defined to obtain a smooth variation [4] [5] [6] in the γ-plane so that the axial symmetry is not broken for 120 , 60 , 0 …”

Section: The Cnm Hamiltonianmentioning

confidence: 99%

Study of Even <sup>230-238</sup>U Isotopes by Using Cranked Nilsson Model, Single Particle Schrodinger Fluid and Collective Model

Kharroube¹

2017

OJM

View full text Add to dashboard Cite

The Cranking Nilsson model is applied to calculate the single-particle energy eigenvalues and eigenfunctions of nuclei in a strongly deformed potential. parameter. Furthermore, the single-particle Schrödinger fluid is applied to calculate the rigid-body model, the cranking-model and the equilibriummodel moments of inertia of the five uranium isotopes. Moreover, the collective model is applied to calculate the rotational energies of these isotopes. The best potential and deformation parameters are also given.

show abstract

“…Refs. [10][11][12][13][14][15]). This non-collective rotation around the symmetry axis is permissible quantum mechanically only by particle-hole excitations with respect to the uncranked state, leading to aligned single-particle angular momenta along the symmetry axis…”

Section: Pairing Correlationsmentioning

confidence: 99%

Toroidal high-spin isomers in the nucleus 120304

2017

View full text Add to dashboard Cite

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].

show abstract

Nuclear shell structure at very high angular momentum

Cited by 517 publications

References 11 publications

Shell effects on rotational damping in superdeformed nuclei

Shell effects on rotational damping in superdeformed nuclei

Study of Even <sup>230-238</sup>U Isotopes by Using Cranked Nilsson Model, Single Particle Schrodinger Fluid and Collective Model

Toroidal high-spin isomers in the nucleus 120304

Contact Info

Product

Resources

About

Nuclear shell structure at very high angular momentum

Cited by 517 publications

References 11 publications

Shell effects on rotational damping in superdeformed nuclei

Shell effects on rotational damping in superdeformed nuclei

Study of Even &lt;sup&gt;230-238&lt;/sup&gt;U Isotopes by Using Cranked Nilsson Model, Single Particle Schrodinger Fluid and Collective Model

Toroidal high-spin isomers in the nucleus 120304

Contact Info

Product

Resources

About

Study of Even <sup>230-238</sup>U Isotopes by Using Cranked Nilsson Model, Single Particle Schrodinger Fluid and Collective Model