45 research outputs found
Fock space dualities
Several cases of Fock space duality occurring in the theory of many-body
systems in general and nuclei in particular are discussed. All of them are
special cases of a general duality theorem proved in mathematics by Howe in the
1970s. Dualities on a fermion Fock space between orthogonal Lie algebras and
related groups, including an o-Pin duality recently discovered by the author,
present a nice, symmetric pattern.Comment: Presented at The International Workshop "Shapes and Dynamics of
Atomic Nuclei: Contemporary Aspects" (SDANCA-21), 16-18 September 2021,
Sofia, Bulgari
Rotations of nuclei with reflection asymmetry correlations
We propose a collective Hamiltonian which incorporates interactions capable
to generate rotations in nuclei with simultaneous presence of octupole and
quadrupole deformations. It is demonstrated that the model formalism could be
applied to reproduce the staggering effects observed in nuclear octupole bands.
On this basis we propose that the interactions involved would provide a
relevant handle in the study of collective phenomena in nuclei and other
quantum mechanical systems with reflection asymmetry correlations.Comment: LaTeX, 9 pages plus 3 figures given in separate .ps files. To appear
in the proceedings of the International Conference on Nuclear Structure and
Related Topics (Dubna, Russia, 6-10/6/2000), ed. R. Jolos, V. Voronov, et a
Low-energy M1 and E3 excitations in the proton-rich Kr-Zr region
Low-energy intrinsic =1, , , , and states in
the even-even proton-rich Sr, Kr, and Zr nuclei are investigated using the
quasiparticle random phase approximation. In the ZN nuclei the
lowest-lying 1 states are found to carry unusually large strength.
It is demonstrated that, unlike in the heavier nuclei, the octupole
collectivity in the light zirconium region is small and, thus, is not directly
correlated with the systematics of the lowest negative parity states.Comment: 15pages, REVTEX 3.0, JIHIR(ORNL) Document no.93-17, Postscript files
for 14 figures are available on request from T.Nakatsusaka at
[email protected]
"Beat" patterns for the odd-even staggering in octupole bands from a quadrupole-octupole Hamiltonian
We propose a collective Hamiltonian which incorporates the standard
quadrupole terms, octupole terms classified according to the irreducible
representations of the octahedron group, a quadrupole-octupole interaction, as
well as a term for the bandhead energy linear in K (the projection of angular
momentum on the body-fixed z-axis). The energy is subsequently minimized with
respect to K for each given value of the angular momentum I, resulting in K
values increasing with I within each band, even in the case in which K is
restricted to a set of microscopically plausible values. We demonstrate that
this Hamiltonian is able to reproduce a variety of ``beat'' patterns observed
recently for the odd-even staggering in octupole bands of light actinides.Comment: LaTeX, 20 pages plus 12 figures given in separate .ps file
Microscopic Structure of High-Spin Vibrational Excitations in Superdeformed 190,192,194Hg
Microscopic RPA calculations based on the cranked shell model are performed
to investigate the quadrupole and octupole correlations for excited
superdeformed bands in 190Hg, 192Hg, and 194Hg. The K=2 octupole vibrations are
predicted to be the lowest excitation modes at zero rotational frequency. At
finite frequency, however, the interplay between rotation and vibrations
produces different effects depending on neutron number: The lowest octupole
phonon is rotationally aligned in 190Hg, is crossed by the aligned
two-quasiparticle bands in 192Hg, and retains the K=2 octupole vibrational
character up to the highest frequency in 194Hg. The gamma vibrations are
predicted to be higher in energy and less collective than the octupole
vibrations. From a comparison with the experimental dynamic moments of inertia,
a new interpretation of the observed excited bands invoking the K=2 octupole
vibrations is proposed, which suggests those octupole vibrations may be
prevalent in SD Hg nuclei.Comment: 22 pages, REVTeX, 12 postscript figures are available on reques