Abstract
The data on high-spin rotational states in155Dy,157Dy,159Dy and161Dy are discussed within a model where a particle is coupled to a rotor with a variable moment of inertia. In this model there is often a definite improvement in the quality and stability of the fits to levels in the positive-parity band below spin 25/2 when the moment of inertia of the core exhibits a linear dependence on the square of the rotational angular velocity as compared to the situation where a linear dependence onI(I+1) is assumed. In the improved fits the empirical matrix elements of the Coriolis force exhibit a smooth and significant increase with decreasing moment of inertia.
The rotational energies above spin 25/2 in the positive-parity band and above 19/2 in the 11/2− [505] band are understood within the present theoretical model if the moment of inertia increases more rapidly than the linear trend established at lower spin. In the 11/2− [505] band this increase follows rather closely the behaviour in the even nuclei whereas in the positive-parity band the curves are quite flat even beyond the point where the moment of inertia in the even nuclei exhibits a discontinuous or back-bending behaviour. The significance of this observation is discussed in the light of existing theories on nuclear moments of inertia.
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One of the authors (S.A. Hjorth) wishes to acknowledge discussions with Profs. K. Kumar, S. G. Nilsson and R. A. Sorensen.
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Hjorth, S.A., Klamra, W. Properties of rotational excitations in odd mass Dy isotopes. Z Physik A 283, 287–295 (1977). https://doi.org/10.1007/BF01407209
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DOI: https://doi.org/10.1007/BF01407209