ROTATIONAL ENERGIES OF ASYMMETRIC ODD-A NUCLEI AND NUCLEI WITH A AROUND 190
Abstract
The asymmetric rotator model of Davydov and Filippov (Nucl. Phys. 8:237, 1958) was extended to odd-A nuclei by coupling a single nucleon to an inert core of well stabilized asymmetric equilibrium shape. Rotational energies are 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. The rotational energy spectrum for a particular particle excitation is in general very rich in number of levels and may consist of a complicated sequence of spin values. In many cases, particularly for smallasymmetries, the rotational spectra may consist of several well separated or overlapping sequences of spin states which resemble the rotational bands of axially symmetric nuclei, especially insofar as K may be approximatly a good quantum number for each sequence. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1961
- Accession Number
- AD0267190
Entities
People
- G.r. Satchler
- Karl T. Hecht
Organizations
- University of Michigan