New features of collective motion of intrinsic degrees of freedom. Toward a possible way to classify the intrinsic states

Details New features of collective motion of intrinsic degrees of freedom. Toward a possible way to classify the intrinsic states New features of collective motion of intrinsic degrees of freedom. Toward a possible way to classify the intrinsic states

2002-05-15

arxiv.org/abs/nucl-th/0205041v1

Phys.Rev. C67 (2003) 014301

Physics

Nuclear Physics

Nuclear Theory

33 pages, 9 figures

Scientific paper

10.1103/PhysRevC.67.014301

Three exactly solvable Hamiltonians of complex structure are studied in the framework of a semi-classical approach. The quantized trajectories for intrinsic coordinates correspond to energies which may be classified in collective bands. For two of the chosen Hamiltonians the symmetry SU2xSU2 is the appropriate one to classify the eigenvalues in the laboratory frame. Connections of results presented here with the molecular spectrum and Moszkowski model are pointed out. The present approach suggests that the intrinsic states, which in standard formalisms are heading rotational bands, are forming themselves "rotational" bands, the rotations being performed in a fictious boson space.

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