No abstract

Fluctuation properties of positive-parity states in 26 A1 from the ground state to the resonance region (0-8 MeV excitation energy) are found to be consistent with the Gaussian-orthogonal-ensemble version of random-matrix theory. Although isospin is an approximately good quantum number in this system, the fluctuation properties of the combined sequence (1*0 and r~l states) are consistent with those of a single Gaussian-orthogonal-ensemble sequence. This agrees with earlier predictions by Dyson and Pandey and with recent analysis by Guhr and Weidenmuller.

The fluctuation properties of the energy levels of 26A1 from the ground state to excitation energies of about 8 MeV have been examined. Several statistics have been employed, and particular attention has been given to the suitability of these statistics for small sample sizes. The results show, for a variety of states, behavior intermediate between GOE and Poisson but apparently favoring GOE. The results are consistent with the fluctuations' being independent of isospin.