Gross shell structure at high spin in heavy nuclei

Deleplanque, M. A.; Frauendorf, S.; Pashkevich, V. V.; Chu, Steven; Unzhakova, A. V.

doi:10.1103/physrevc.69.044309

Cited by 34 publications

(80 citation statements)

References 42 publications

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“…However, measured moments of inertia for the case of the precession motion of prolately deformed nuclei are often much smaller than the rigid-body values even when pairing correlations are negligible [8,9]. This is because of shell effects in high-K prolate isomers [8]. Although precession modes of high-K oblate isomers have not been observed yet, their moments of inertia would be much reduced from the rigid-body values due to oblate shell structures at small deformations [10].…”

Section: Introductionmentioning

confidence: 98%

“…It has been theoretically recognized that an independent-particle configuration in a deformed harmonic-oscillator potential rotates with the rigid-body moment of inertia when the selfconsistency between the mean-field potential and the density is fulfilled [7]. However, measured moments of inertia for the case of the precession motion of prolately deformed nuclei are often much smaller than the rigid-body values even when pairing correlations are negligible [8,9]. This is because of shell effects in high-K prolate isomers [8].…”

Section: Introductionmentioning

confidence: 99%

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High-spin torus isomers and their precession motions

et al. 2014

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Background: In our previous study, we found that an exotic isomer with a torus shape may exist in the high-spin, highly excited states of 40 Ca. The z component of the total angular momentum, J z = 60 , of this torus isomer is constructed by aligning totally twelve single-particle angular momenta in the direction of the symmetry axis of the density distribution. The torus isomer executes precession motion with the rigid-body moments of inertia about an axis perpendicular to the symmetry axis. The investigation, however, has been focused only on 40 Ca. Purpose:We systematically investigate the existence of exotic torus isomers and their precession motions for a series of N = Z even-even nuclei from 28 Si to 56 Ni. We analyze the microscopic shell structure of the torus isomer and discuss why the torus shape is generated beyond the limit of large oblate deformation. Method:We use the cranked three-dimensional Hartree-Fock (HF) method with various Skyrme interactions in a systematic search for high-spin torus isomers. We use the three-dimensional time-dependent Hartree-Fock (TDHF) method for describing the precession motion of the torus isomer. Results:We obtain high-spin torus isomers in 36 Ar, 40 Ca, 44 Ti, 48 Cr, and 52 Fe. The emergence of the torus isomers is associated with the alignments of single-particle angular momenta, which is the same mechanism as found in 40 Ca. It is found that all the obtained torus isomers execute the precession motion at least two rotational periods. The moment of inertia about a perpendicular axis, which characterizes the precession motion, is found to be close to the classical rigid-body value. Conclusions:The high-spin torus isomer of 40 Ca is not an exceptional case. Similar torus isomers exist widely in nuclei from 36 Ar to 52 Fe and they execute the precession motion. The torus shape is generated beyond the limit of large oblate deformation by eliminating the 0s components from all the deformed single-particle wave functions to maximize their mutual overlaps.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

High-spin torus isomers and their precession motions

et al. 2014

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“…Thus the rotational axis is not the symmetry axis but it is tilted and the moment of inertia has contributions from rotation about the symmetry axis and the axis perpendicular to it. Our quantum mechanical cranking calculations [3] for a Woods-Saxon potential, which rotates about the symmetry axis, show the expected strongly positive values of Â sh .…”

Section: Shell Moments Of Inertiamentioning

confidence: 58%

“…In this talk, we will analyze mainly the structure between neutron numbers 82 and 126 where the effects are clearer because the proton and neutron shells are more in phase. For a more detailed analysis, we refer to an upcoming paper [3].…”

Section: Experimental Methodsmentioning

confidence: 99%

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Gross Shell Structure Of Moments Of Inertia

Deleplanque¹,

Frauendorf²,

Pashkevich³

et al. 2003

AIP Conference Proceedings

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Abstract. Average yrast moments of inertia at high spins, where the pairing correlations are expected to be largely absent, were found to deviate from the rigid-body values. This indicates that shell effects contribute to the moment of inertia. We discuss the gross dependence of moments of inertia and shell energies on the neutron number in terms of the semiclassical periodic orbit theory. We show that the ground-state shell energies, nuclear deformations and deviations from rigid-body moments of inertia are all due to the same periodic orbits.

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Wobbling excitations at high spins in A∼160

Kvasil

Nazmitdinov

2007

Physics Letters B

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Gross shell structure at high spin in heavy nuclei

Cited by 34 publications

References 42 publications

High-spin torus isomers and their precession motions

High-spin torus isomers and their precession motions

Gross Shell Structure Of Moments Of Inertia

Wobbling excitations at high spins in A∼160

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