Empirical moments of inertia of axially asymmetric nuclei
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 hydrodynamicbased 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:

^{[1]}
;
^{[2]}
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
 Georgia Inst. of Technology, Atlanta, GA (United States). School of Physics
 Publication Date:
 Grant/Contract Number:
 AC0500OR22725
 Type:
 Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 767; Journal Issue: C; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Research Org:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
 OSTI Identifier:
 1343168
 Alternate Identifier(s):
 OSTI ID: 1344251
Allmond, J. M., and Wood, J. L.. Empirical moments of inertia of axially asymmetric nuclei. United States: N. p.,
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.. 2017.
"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 hydrodynamicbased 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 = {2017},
month = {2}
}