Statistical Theory of Breakup Reactions

We propose an alternative for Coupled-Channels calculations with looselybound exotic nuclei(CDCC), based on the the Random Matrix Model of the statistical theory of nuclear reactions. The coupled channels equations are divided into two sets. The first set, described by the CDCC, and the other set treated with RMT. The resulting theory is a Statistical CDCC (CDCCs), able in principle to take into account many pseudo channels. 1 Statistical Continuum Discretized Coupled Channels Continuum-Discretized Coupled-Channels calculations are a major theoretical tool to calculate observables in reactions involving rare loosely-bound nuclear isotopes [1, 2]. Such calculations are time-consuming and may include such a huge humber of channels that they are amenable to a statistical treatment, similar to what has been used to treat neutron-induced reactions with compound nuclear states. This is the subject of the present work. We write the CDCC equations in a schematic model as, [ − 2 2μ d dx2 + Vrel(x) + n − E ] ψn(x) + ∑ m Vnm(x)ψm(x) = 0 (1) We distinguish the desired channels in a conventional CDCC by the labelsm, n, from the statistical channels labeled by μ, ν. Accordingly, [ − 2 2μ d dx2 + Vrel(x) + n − E ] ψn(x) + ∑