3,692 research outputs found
Charge-exchange resonances and restoration of the Wigner SU(4)-symmetry in heavy and superheavy nuclei
Energies of the giant Gamow-Teller and analog resonances - and
, are presented, calculated using the microscopic theory of finite
Fermi system. The calculated differences go to zero in heavier nuclei indicating the restoration of Wigner
SU(4)-symmetry. The calculated values are in good
agreement with the experimental data. The average deviation is 0.30 MeV for the
33 considered nuclei for which experimental data is available. The values were calculated for heavy and superheavy nuclei up to the
mass number = 290. Using the experimental data for the analog resonances
energies, the isotopic dependence of the difference of the Coulomb energies of
neighboring nuclei isobars analyzed within the SU(4)-approach for more than 400
nuclei in the mass number range of = 3 - 244. The Wigner SU(4)-symmetry
restoration for heavy and superheavy nuclei is confirmed. It is shown that the
restoration of SU(4)-symmetry does not contradict the possibility of the
existence of the "island of stability" in the region of superheavy nuclei.Comment: 5 pages, 2 figure
Power-law spin correlations in a perturbed honeycomb spin model
We consider spin- model on the honeycomb lattice~\cite{Kitaev06}
in presence of a weak magnetic field . Such a perturbation
destroys exact integrability of the model in terms of gapless fermions and
\textit{static} fluxes. We show that it results in appearance of a
long-range tail in the irreducible dynamic spin correlation function: , where is
proportional to the density polarization function of fermions
Nikolskii inequality and functional classes on compact Lie groups
In this note we study Besov, Triebel-Lizorkin, Wiener, and Beurling function
spaces on compact Lie groups. A major role in the analysis is played by the
Nikolskii inequality.Comment: In this note (to appear in Funct. Anal. Appl.) we present results
from our paper at arXiv:1403.3430 (to appear in Ann. Sc. Norm. Super. Pisa
Cl. Sci.) in the simplified setting of compact Lie groups. We refer to the
above paper for more general formulations in the setting of compact
homogeneous manifolds and for the proof
- β¦