Abstract
We present formulas for the auto- and cross-correlation functions of various observables, taking into account the influence of direct reactions. These formulas are valid in the limit of strong absorption, and are deduced from the statistics of the nuclear matrix elements. We thereby put fluctuation theory on a new basis, and extend its domain of validity by including direct reactions. We obtain an explicit expression for the correlation length. Numerical calculations show that our formulas apply only in the strong-absorption limit, and that significant deviations occur for medium or weak absorption. We apply our results to the calculation of the cross-correlation function for the cross sections for elastic and inelastic proton scattering on88Sr through the 3/2+ isobaric analogue resonance.
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