Journal article

Publication year: 1996

Pages: 359-365

Journal: Zeitschrift für Physik A, Hadrons and Nuclei

Volume number: 354

Issue number: 4

ISSN: 0939-7922

DOI Link: https://doi.org/10.1007/s002180050058

Publisher: Springer

Abstract: 
The relation between the shape variables (beta, gamma) of the collective model and the (lambda, mu) labels which define the irreducible representations of the SU(3) shell model is extended to a coupled rotor picture where one rotor represents protons (pi) and the other one neutrons (nu). The joint distribution, (beta, gamma), emerges as the overlap of the initial distributions, (beta(pi), gamma(pi)) and (beta(nu), gamma(nu)), where three Euler angles define the relative orientation of proton and neutron subsystems. It is shown analytically that the rotor construction for triaxial and axially symmetric shapes corresponds to a (lambda(pi), mu(pi) = 0) x (lambda(nu), mu(nu)) --> (lambda, mu)(rho=1) coupling in the SU(3) model.

Harvard Citation style: Rompf, D., Draayer, J., Troltenier, D. and Scheid, W. (1996) Algebraic realization of a coupled rotor picture, Zeitschrift für Physik A Hadrons and Nuclei, 354(4), pp. 359-365. https://doi.org/10.1007/s002180050058

APA Citation style: Rompf, D., Draayer, J., Troltenier, D., & Scheid, W. (1996). Algebraic realization of a coupled rotor picture. Zeitschrift für Physik A Hadrons and Nuclei. 354(4), 359-365. https://doi.org/10.1007/s002180050058