Abstract
A variational procedure using trial wave functions projected on to symmetry eigenstates is investigated. In the individual particle model it leads to generalized self-consistent single-particle equations being dependent on the symmetry eigenvalue. A perturbation expansion appropriate for the case of strong symmetry violations is described. Model independent expressions for the moment of inertia and the decoupling parameter are derived by applying the method to rotational symmetry.
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Support in part by the U.S. Atomic Energy Commission AT(04-3)-63 and in part by the Office of Naval Research [Nonr-220(47)]. Prepared under Contract AT(04-3)-63 for the San Francisco Operations Office, U.S. Atomic Energy Commision. Reproduction in whole or in part is permitted for any purpose of the United States Government.
The author wishes to thank ProfessorsFelix Boehm andWilly A.Fowler for their hospitality at the California Institute of Technology, Drs. G.Stephenson jr. and Z.Szymanski for critically reading the manuscript.
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Zeh, H.D. Symmetry violating trial wave functions. Z. Physik 188, 361–373 (1965). https://doi.org/10.1007/BF01326951
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DOI: https://doi.org/10.1007/BF01326951