DETAILED BALANCE STUDY OF TIME-REVERSAL INVARIANCE WITH INTERFERING RESONANCES

Bunakov and Weidenmuller suggested that large enhancement of time reve rsal invariance violation may be observed near two interfering resonan ces via a test of detailed balance. In our (p, alpha) resonance data o n Na-23, Al-27,P-31, Cl-35, and K-39, there are 33 pairs of adjacent r esonances which have the same spin and parity. The difference in the d ifferential cross sections for the (p, alpha0) and (alpha, p0) reactio ns was calculated for these resonance pairs using experimental values for the partial widths. The collision matrix elements were obtained fo r a Hamiltonian H = H-0 + iH', following the approach of Moldauer. The differences show striking dependence on energy and angle and on the p articular pair of resonances, with the relative sensitivity of the det ailed balance test varying by many orders of magnitude. These prelimin ary results indicate that this class of experiments may be more sensit ive than previous detailed balance tests.