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

Koike, T.; Starosta, K.; Hamamoto, I.

doi:10.1103/PhysRevLett.93.172502

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

T. Koike
(
- SUNY, Stony Brook
)
,
K. Starosta
(
- SUNY, Stony Brook and
- Michigan State U., NSCL
)
,
I. Hamamoto
(
- Lund U. and
- Bohr Inst.
)

Oct 22, 2004

4 pages

Published in:

Phys.Rev.Lett. 93 (2004) 172502

DOI:

10.1103/PhysRevLett.93.172502

View in:

Nuclear Science References

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Abstract: (APS)

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.