Spin-isospin SU(4) symmetry in [ital sd]- and [ital fp]-shell nuclei
- Physics Department, California Institute of Technology, Pasadena, California 91125 (United States)
For all even-[ital A] nuclei in the [ital sd] shell we evaluate the overlap between several low-lying states, obtained by diagonalizing the realistic Wildenthal interaction, and the eigenstates of the SU(4) Casimir operator. We find that the [ital J]=0[sup +] ground states of even-even nuclei near the middle of the shell have rather small overlaps (less than 0.5) with the lowest SU(4) Young tableaux, while the [ital J]=0[sup +] and 1[sup +] lowest states of odd-odd nuclei have noticeably larger overlaps (0.6--0.7). We also find that the expansion in the SU(4) Young tableaux converges quite rapidly, and that the two or three lowest tableaux usually account for more than 90% of the nuclear wave function. We then extend the calculation to the [ital fp] shell and evaluate the overlaps between the [ital J]=0[sup +] ground states obtained by diagonalizing a realistic interaction and the SU(4) eigenstates for even-even nuclei with maximum isospin. For the [ital fp] shell the overlaps are even smaller than in the [ital sd] shell. Since we observe such sizable SU(4) symmetry breaking effects in the relatively simple [ital sd] and [ital pf] nuclei, we are rather pessimistic about the prospects of using conclusions based on SU(4) in heavier, more complex nuclei.
- DOE Contract Number:
- FG03-88ER40397
- OSTI ID:
- 7177156
- Journal Information:
- Physical Review, C (Nuclear Physics); (United States), Vol. 47:2; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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663120* - Nuclear Structure Models & Methods- (1992-)