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Title: Empirical moments of inertia of axially asymmetric nuclei

Abstract

We extracted empirical moments of inertia, J1, J2, J3, of atomic nuclei with E(4$$+\atop{1}$$)/E(2$$+\atop{1}$$ ) > 2.7 from experimental 2$$+\atop{g,y}$$, energies and electric quadrupole matrix elements, determined from multi- step Coulomb excitation data, and the results are compared to expectations based on rigid and irro- tational inertial flow. Only by having the signs of the E2 matrix elements, i.e., <2$$+\atop{g}$$ ||M (E2)||2$$+\atop{g}$$> and <0$$+\atop{g}$$ ||M (E2)||2$$+\atop{g}$$> < 2$$+\atop{g}$$ ||M (E2)||2$$+\atop{γ}$$> <2$$+\atop{γ}$$ ||M (E2)||0$$+\atop{g}$$> , can a unique solution to all three components of the inertia tensor of an asymmetric top be obtained. And while the absolute moments of inertia fall between the rigid and irrotational values as expected, the relative moments of inertia appear to be qualitatively consistent with the β 2 sin 2(γ ) dependence of the Bohr Hamiltonian which originates from a SO(5) in- variance. A better understanding of inertial flow is central to improving collective models, particularly hydrodynamic-based collective models. The results suggest that a better description of collective dynamics and inertial flow for atomic nuclei is needed. The inclusion of vorticity degrees of freedom may provide a path forward. This is our first report of empirical moments of inertia for all three axes and the results should challenge both collective and microscopic descriptions of inertial flow.

Authors:
ORCiD logo [1];  [2]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
  2. Georgia Inst. of Technology, Atlanta, GA (United States). School of Physics
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1343168
Alternate Identifier(s):
OSTI ID: 1344251
Grant/Contract Number:
AC05-00OR22725
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 767; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Allmond, J. M., and Wood, J. L.. Empirical moments of inertia of axially asymmetric nuclei. United States: N. p., 2017. Web. doi:10.1016/j.physletb.2017.01.072.
Allmond, J. M., & Wood, J. L.. Empirical moments of inertia of axially asymmetric nuclei. United States. doi:10.1016/j.physletb.2017.01.072.
Allmond, J. M., and Wood, J. L.. Mon . "Empirical moments of inertia of axially asymmetric nuclei". United States. doi:10.1016/j.physletb.2017.01.072.
@article{osti_1343168,
title = {Empirical moments of inertia of axially asymmetric nuclei},
author = {Allmond, J. M. and Wood, J. L.},
abstractNote = {We extracted empirical moments of inertia, J1, J2, J3, of atomic nuclei with E(4$+\atop{1}$)/E(2$+\atop{1}$ ) > 2.7 from experimental 2$+\atop{g,y}$, energies and electric quadrupole matrix elements, determined from multi- step Coulomb excitation data, and the results are compared to expectations based on rigid and irro- tational inertial flow. Only by having the signs of the E2 matrix elements, i.e., <2$+\atop{g}$ ||M (E2)||2$+\atop{g}$> and <0$+\atop{g}$ ||M (E2)||2$+\atop{g}$> < 2$+\atop{g}$ ||M (E2)||2$+\atop{γ}$> <2$+\atop{γ}$ ||M (E2)||0$+\atop{g}$> , can a unique solution to all three components of the inertia tensor of an asymmetric top be obtained. And while the absolute moments of inertia fall between the rigid and irrotational values as expected, the relative moments of inertia appear to be qualitatively consistent with the β2 sin2(γ ) dependence of the Bohr Hamiltonian which originates from a SO(5) in- variance. A better understanding of inertial flow is central to improving collective models, particularly hydrodynamic-based collective models. The results suggest that a better description of collective dynamics and inertial flow for atomic nuclei is needed. The inclusion of vorticity degrees of freedom may provide a path forward. This is our first report of empirical moments of inertia for all three axes and the results should challenge both collective and microscopic descriptions of inertial flow.},
doi = {10.1016/j.physletb.2017.01.072},
journal = {Physics Letters. Section B},
number = C,
volume = 767,
place = {United States},
year = {Mon Feb 06 00:00:00 EST 2017},
month = {Mon Feb 06 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2017.01.072

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  • We extracted empirical moments of inertia, J1, J2, J3, of atomic nuclei with E(4more » $$+\atop{1}$$)/E(2$$+\atop{1}$$ ) > 2.7 from experimental 2$$+\atop{g,y}$$, energies and electric quadrupole matrix elements, determined from multi- step Coulomb excitation data, and the results are compared to expectations based on rigid and irro- tational inertial flow. Only by having the signs of the E2 matrix elements, i.e., <2$$+\atop{g}$$ ||M (E2)||2$$+\atop{g}$$> and <0$$+\atop{g}$$ ||M (E2)||2$$+\atop{g}$$> < 2$$+\atop{g}$$ ||M (E2)||2$$+\atop{γ}$$> <2$$+\atop{γ}$$ ||M (E2)||0$$+\atop{g}$$> , can a unique solution to all three components of the inertia tensor of an asymmetric top be obtained. And while the absolute moments of inertia fall between the rigid and irrotational values as expected, the relative moments of inertia appear to be qualitatively consistent with the β 2 sin 2(γ ) dependence of the Bohr Hamiltonian which originates from a SO(5) in- variance. A better understanding of inertial flow is central to improving collective models, particularly hydrodynamic-based collective models. The results suggest that a better description of collective dynamics and inertial flow for atomic nuclei is needed. The inclusion of vorticity degrees of freedom may provide a path forward. This is our first report of empirical moments of inertia for all three axes and the results should challenge both collective and microscopic descriptions of inertial flow.« less