CORRELATIONS WITHIN EIGENVECTORS AND TRANSITION AMPLITUDES IN THE 2-BODY RANDOM INTERACTION-MODEL

It is shown that the two-body character of the interaction in a many-b ody system gives rise to specific correlations between the components of compound states, even if this interaction is completely random. Sur prisingly, these correlations increase with the increase of the number of active (valence) particles. Statistical theory of transition ampli tudes between compound states, which takes into account these correlat ions is developed and tested within the framework of the two-body rand om interaction model. It is demonstrated that a feature, which can be called ''correlation resonance,'' appears in the distribution of the t ransition matrix amplitudes, since the correlations strongly reduce th e transition amplitudes at the tails and increase them near the maximu m of the distribution.