ROTATIONAL ENERGIES OF ASYMMETRIC ODD-A NUCLEI AND NUCLEI WITH A AROUND 190
Technical Report
·
OSTI ID:4833111
The asymmetric rotator model of Davydov and Filippov was extended to odd- A nuclei by coupling a single nucleon to an inert core of well stabilized asymmetric equilibrium shape. Rotational energies were calculated for states with spin I through numerical diagonalization of (I + 1/2) x (I +1/2) rotational matrices which depend in a complicated way on the state of the odd nucleon. The state of the odd nucleon is described by single particle wave functions such as those calculated by Newton, generalizations for the asymmetric case of the wave functions computed by Nilsson for axially symmetric nuclei. In many cases the rotational spectra may consist of several well separated or overlapping sequences of spin states which resemble the rotational bands of axially symmetric nuclei. In an initial survey of odd-A nuclei around A of 190 no clearcut evidence was found for the existence of nuclei with a well defined asymmetric equilibrium shape. Calculations for Ir/sup 191/ and Re/sup 185/ indicated o nly that it may be very difficult to distinguish between a symmetric and an asymmetric rotator model when the asymmetry is small. Calculations for Pt/sup 195/ showed that, although the observed level scheme can be reproduced by asymmetric rotator theory, the observed electromagnetic transition probabilities are not in agreement with the predictions of the simple asymmetric rotator model. (auth)
- Research Organization:
- Michigan. Univ., Ann Arbor. Coll. of Literature, Science, and the Arts; Oak Ridge National Lab., Tenn.
- NSA Number:
- NSA-15-031588
- OSTI ID:
- 4833111
- Report Number(s):
- NP-10737
- Country of Publication:
- United States
- Language:
- English
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