Dependence of the width of a doorway state on the ratio of the numbers of the correlating and open channels

Abstract

The width $〈{\ensuremath{\Gamma}}_{d}〉$ of a doorway state, the escape width $〈{\ensuremath{\Gamma}}_{d}\ensuremath{\uparrow}〉$, the damping width $〈{\ensuremath{\Gamma}}_{d}\ensuremath{\downarrow}〉$, and the interaction $〈{V}_{d}〉$ which causes transitions from the doorway state to the more complicated states are discussed as a function of the ratio ($\frac{{n}_{d}}{n}$) between the numbers of the correlating and open channels. The results show that the widths $〈{\ensuremath{\Gamma}}_{d}〉$, $〈{\ensuremath{\Gamma}}_{d}\ensuremath{\uparrow}〉$, $〈{\ensuremath{\Gamma}}_{d}\ensuremath{\downarrow}〉$, and the interaction $〈{V}_{d}〉$ depend strongly on the square of this ratio.NUCLEAR REACTIONS Discussed $〈{\ensuremath{\Gamma}}_{d}〉$, $〈{\ensuremath{\Gamma}}_{d}\ensuremath{\uparrow}〉$, $〈{\ensuremath{\Gamma}}_{d}\ensuremath{\downarrow}〉$, $〈{V}_{d}〉$.