Gross shell structure of moments of inertia

Title: Gross shell structure of moments of inertia

Full Record
Other Related Research

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.

Authors:: Deleplanque, M A; Frauendorf, S; Pashkevich, V V; Chu, S Y; Unzhakova, A

Publication Date:: 2002-07-01

Research Org.:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: Office of Science. Nuclear Physics (US)

OSTI Identifier:: 809317

Report Number(s):: LBNL-52316
R&D Project: 463301; B& R KB0401024; TRN: US0302448

DOE Contract Number:: AC03-76SF00098

Resource Type:: Conference

Resource Relation:: Conference: Frontiers of Nuclear Structure, Berkeley, CA (US), 07/29/2002--08/02/2002; Other Information: PBD: 1 Jul 2002

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; MOMENT OF INERTIA; NEUTRONS; NUCLEAR DEFORMATION; NUCLEAR STRUCTURE

Citation Formats


                    Deleplanque, M A, Frauendorf, S, Pashkevich, V V, Chu, S Y, and Unzhakova, A. Gross shell structure of moments of inertia.  United States: N. p., 2002. 
        Web.

Copy to clipboard


                    Deleplanque, M A, Frauendorf, S, Pashkevich, V V, Chu, S Y, & Unzhakova, A. Gross shell structure of moments of inertia.  United States.

Copy to clipboard


                    Deleplanque, M A, Frauendorf, S, Pashkevich, V V, Chu, S Y, and Unzhakova, A. Mon .  
        "Gross shell structure of moments of inertia".  United States.  https://www.osti.gov/servlets/purl/809317.

Copy to clipboard


                    
@article{osti_809317,

  title        = {Gross shell structure of moments of inertia},

  author       = {Deleplanque, M A and Frauendorf, S and Pashkevich, V V and Chu, S Y and Unzhakova, A},

  abstractNote = {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.},

  doi          = {},

  url          = {https://www.osti.gov/biblio/809317},
  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {2002},

  month        = {7}

}

Copy to clipboard

Conference:

View Conference (0.19 MB)

Other availability

Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Gross shell structure at high spin in heavy nuclei

Journal Article Deleplanque, Marie-Agnes ; Frauendorf, Stefan ; Pashkevich, Vitaly V ; ... - Physical Review C

Experimental nuclear moments of inertia at high spins along the yrast line have been determined systematically and found to differ from the rigid-body values. The difference is attributed to shell effect and these have been calculated microscopically. The data and quantal calculations are interpreted by means of the semiclassical Periodic Orbit Theory. From this new perspective, features in the moments of inertia as a function of neutron number and spin, as well as their relation to the shell energies can be understood. Gross shell effects persist up to the highest angular momenta observed.
Full Text Available
Semiclassical shell-structure moment of inertia for equilibrium rotation of a simple Fermi system

Journal Article Magner, A G ; Sitdikov, A. S., E-mail: airat_vm@rambler.ru ; Khamzin, A A ; ... - Physics of Atomic Nuclei

Semiclassical shell-structure components of the collectivemoment of inertia are derived within the mean-field cranking model in the adiabatic approximation in terms of the free-energy shell corrections through those of a rigid body for the statistically equilibriumrotation of a Fermi system at finite temperature by using the nonperturbative extended Gutzwiller periodic-orbit theory. Their analytical structure in terms of the equatorial and 3-dimensional periodic orbits for the axially symmetric harmonic oscillator potential is in perfect agreement with the quantum results for different critical bifurcation deformations and different temperatures.
https://doi.org/10.1134/S1063778810080132
Semiclassical shell structure in rotating Fermi systems

Journal Article Magner, A G ; Sitdikov, A S ; Khamzin, A A ; ... - Physical Review. C, Nuclear Physics

The collective moment of inertia is derived analytically within the cranking model for any rotational frequency of the harmonic-oscillator potential well and at a finite temperature. Semiclassical shell-structure components of the collective moment of inertia are obtained for any potential by using the periodic-orbit theory. We found semiclassically their relation to the free-energy shell corrections through the shell-structure components of the rigid-body moment of inertia of the statistically equilibrium rotation in terms of short periodic orbits. The shell effects in the moment of inertia exponentially disappear with increasing temperature. For the case of the harmonic-oscillator potential, one observes a perfectmore »« less
https://doi.org/10.1103/PHYSREVC.81.064302
Convergence of the moments of inertia in f - p - g shell nuclei

Journal Article Tabor, S L - Physical Review, C (Nuclear Physics); (United States)

A survey of the kinematic moments of inertia of {ital A}{approx}80 nuclei shows a tendency to converge toward the rigid-body values of 20 to 25 {h bar}{sup 2}/MeV at rotational frequencies above 0.6 MeV/{h bar}. The moments of the even-even isotopes approach the convergence zone from much lower values. The farther from the center of the shell, the lower the initial values are and the more rapid is the rise. By contrast, the moments of inertia of the odd-odd nuclei start from higher values and decrease into the convergence zone. The values for odd-{ital A} nuclei are generally intermediate, usuallymore »« less
https://doi.org/10.1103/PhysRevC.45.242
Competing single-particle and collective structures in {sup 86}Nb

Journal Article Tabor, S L ; Doering, J ; Johns, G D ; ... - Physical Review, C

The high-spin structure of odd-odd {sup 86}Nb was studied with the early implementation of GAMMASPHERE using 36 Compton-suppressed Ge detectors and the MICROBALL, a 95-element full-sphere charged-particle detector array. High-spin states were populated using the {sup 58}Ni({sup 32}S,3pn) reaction at 135 MeV with beams from the 88-Inch Cyclotron at Lawrence Berkeley National Laboratory. A number of bands were observed up to spins as high as (31{sup {minus}}). The yrast positive-parity band shares many characteristics with the {pi}g{sub 9/2}{circle_times}{nu}g{sub 9/2} bands in other odd-odd f-p-g shell nuclei. These similarities include the behavior of the moments of inertia, the magnitude and phasemore »« less
https://doi.org/10.1103/PhysRevC.56.142

Similar Records