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Title: General treatment of vortical, toroidal, and compression modes

Abstract

The multipole vortical, toroidal, and compression modes are analyzed. Following the vorticity concept of Ravenhall and Wambach, the vortical operator is derived and related in a simple way to the toroidal and compression operators. The strength functions and velocity fields of the modes are analyzed in {sup 208}Pb within the random-phase approximation using the Skyrme force SLy6. Both convection and magnetization nuclear currents are taken into account. It is shown that the isoscalar (isovector) vortical and toroidal modes are dominated by the convection (magnetization) nuclear current while the compression mode is fully convective. The relation between the above concept of the vorticity and the hydrodynamical vorticity is briefly discussed.

Authors:
 [1];  [2];  [2];  [3];  [4];  [1];  [5]
  1. Institute of Particle and Nuclear Physics, Charles University, CZ-18000, Praha 8 (Czech Republic)
  2. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, 141980 (Russian Federation)
  3. (Germany)
  4. Institut fuer Theoretische Physik II, Universitaet Erlangen, D-91058, Erlangen (Germany)
  5. (YFL) FI-40014, University of Jyvaeskylae (Finland)
Publication Date:
OSTI Identifier:
21596734
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.84.034303; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; COMPRESSION; CONVECTION; ISOVECTORS; LEAD 208; MAGNETIZATION; RANDOM PHASE APPROXIMATION; SKYRME POTENTIAL; STRENGTH FUNCTIONS; APPROXIMATIONS; CALCULATION METHODS; ENERGY TRANSFER; EVEN-EVEN NUCLEI; FUNCTIONS; HEAT TRANSFER; HEAVY NUCLEI; ISOTOPES; LEAD ISOTOPES; MASS TRANSFER; NUCLEI; NUCLEON-NUCLEON POTENTIAL; POTENTIALS; STABLE ISOTOPES; TENSORS; VECTORS

Citation Formats

Kvasil, J., Nesterenko, V. O., Kleinig, W., Technische Universitaet Dresden, Institut fuer Analysis, D-01062, Dresden, Reinhard, P.-G., Vesely, P., and Department of Physics, P.O. Box 35. General treatment of vortical, toroidal, and compression modes. United States: N. p., 2011. Web. doi:10.1103/PHYSREVC.84.034303.
Kvasil, J., Nesterenko, V. O., Kleinig, W., Technische Universitaet Dresden, Institut fuer Analysis, D-01062, Dresden, Reinhard, P.-G., Vesely, P., & Department of Physics, P.O. Box 35. General treatment of vortical, toroidal, and compression modes. United States. doi:10.1103/PHYSREVC.84.034303.
Kvasil, J., Nesterenko, V. O., Kleinig, W., Technische Universitaet Dresden, Institut fuer Analysis, D-01062, Dresden, Reinhard, P.-G., Vesely, P., and Department of Physics, P.O. Box 35. Thu . "General treatment of vortical, toroidal, and compression modes". United States. doi:10.1103/PHYSREVC.84.034303.
@article{osti_21596734,
title = {General treatment of vortical, toroidal, and compression modes},
author = {Kvasil, J. and Nesterenko, V. O. and Kleinig, W. and Technische Universitaet Dresden, Institut fuer Analysis, D-01062, Dresden and Reinhard, P.-G. and Vesely, P. and Department of Physics, P.O. Box 35},
abstractNote = {The multipole vortical, toroidal, and compression modes are analyzed. Following the vorticity concept of Ravenhall and Wambach, the vortical operator is derived and related in a simple way to the toroidal and compression operators. The strength functions and velocity fields of the modes are analyzed in {sup 208}Pb within the random-phase approximation using the Skyrme force SLy6. Both convection and magnetization nuclear currents are taken into account. It is shown that the isoscalar (isovector) vortical and toroidal modes are dominated by the convection (magnetization) nuclear current while the compression mode is fully convective. The relation between the above concept of the vorticity and the hydrodynamical vorticity is briefly discussed.},
doi = {10.1103/PHYSREVC.84.034303},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}