Elsevier

Annals of Physics

Volume 211, Issue 2, 1 November 1991, Pages 334-386
Annals of Physics

Nuclear sensitivity to time-reversal non-invariance: Traditional detailed balance

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Abstract

We investigate the most basic fluctuation measure relevant to traditional detailed balance studies with compound nucleus reactions. The treatment is exact to leading order in the hypothetical parity-even time-reversal-odd part of the nuclear interaction and applies from the regime of isolated resonances through to that of strongly-overlapping resonances. We infer approximate expressions in which the scaling with basic compound nucleus parameters is manifest and identify the presence of two enhancements: admixture and lifetime. We confirm the validity of assumptions implicit in the previous theoretical treatment of the strongly-overlapping regime. For the purpose of order of magnitude estimates, this treatment is adequate throughout the overlapping resonance regime. We find that, in the resolved resonance regime, the correlations due to unitarity between the symmetric and anti-symmetric parts of the S-matrix are strong. With regard to future measurements, we present a revised sensitivity estimate for the class of optimal isolated-resonance regime measurements identified recently and we argue in favour of two observables constructed entirely from energy averages (which have some practical advantages). We conclude that, for the case of (p, α0)(α, p0)-reactions, one of our observables constructed from energy averages is only marginally less sensitive than optimal isolated-resonance regime measurements. Related findings are that: conventional measurements with (p, α0)(α, p0)-reactions in the overlapping resonance regime of medium-weight nuclei (A ∼ 100) can possess a sensitivity comparable to that of optimal isolated-resonance regime measurements; on-resonance measurements in the isolated resonance regime are of interest in as much as they benefit from dynamic and structural enhancement.

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    Present address: CEC, Favoritenstrasse 7, A-1040 Vienna, Austria.

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