Abstract
We propose alternatives to coupled-channels calculations with loosely-bound exotic nuclei (CDCC), based on the the random matrix (RMT) and the optical background (OPM) models for 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 (CDCC$_S$), able in principle to take into account many pseudo channels.
Highlights
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 above prescription should set the stage for a CDCC calculation which presents fluctuations in the final channels and one must rely on an appropriate ensemble average: perform the calculation several times and at the end perform an average
It is natural to expect that the CDCC equations for the m, n channels would be affected by the statistical channels (μ, ν)
Summary
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. The above prescription should set the stage for a CDCC calculation which presents fluctuations in the final channels and one must rely on an appropriate ensemble average: perform the calculation several times and at the end perform an average
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