Phys. Rev. Lett. 93, 172502 (2004) [4 pages]

Chiral Bands, Dynamical Spontaneous Symmetry Breaking, and the Selection Rule for Electromagnetic Transitions in the Chiral Geometry

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T. Koike1, K. Starosta1,2, and I. Hamamoto3,4
1Department of Physics and Astronomy, SUNY at Stony Brook, New York 11794, USA
2Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, MSU, East Lansing, Michigan 48824, USA
3Division of Mathematical Physics, LTH, University of Lund, Sweden
4The Niels Bohr Institute, Blegdamsvej 17, Copenhagen Ø, DK 2100, Denmark

Received 16 March 2004; revised 29 July 2004; published 22 October 2004

A model for a special configuration in triaxial odd-odd nuclei is constructed which exhibits degenerate chiral bands with a sizable rotation, a manifestation of dynamical spontaneous symmetry breaking. A quantum number obtained from the invariance of the model Hamiltonian, which characterizes observable states, is given and selection rules for electromagnetic transition probabilities in chiral bands is derived in terms of this quantum number. The degeneracy of the lowest two bands is indeed obtained in the numerical diagonalization of the Hamiltonian at an intermediate spin range, over which electromagnetic transitions follow exactly the selection rule expected for the chiral geometry.


©2004 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.93.172502
DOI: 10.1103/PhysRevLett.93.172502
PACS: 23.20.Lv, 21.10.Re, 21.60.Ev

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