DETAILED BALANCE TEST OF TIME-REVERSAL INVARIANCE WITH INTERFERING RESONANCES

Bunakov and Weidenmuller recently proposed that there may be large enh ancement of time-reversal invariance violation in a test of detailed b alance near two interfering resonances. In our (p, alpha) resonance da ta on Na-23, Al-27, P-31, Cl-35, and K-39, there are 33 pairs of adjac ent resonances with the same spin and parity. The difference in the di fferential cross sections for the (p, alpha) and (alpha, p) reactions was calculated for these resonance pairs using experimental values for the partial widths. The collision matrix elements were obtained for a hamiltonian H = H-0 + iH(TRIV) by following the approach of Moldauer. The differences show striking dependence on energy, angle, and the pa rticular pair of resonances; the relative sensitivity varies by many o rders of magnitude. These preliminary results suggest that this class of experiments may be much more sensitive than previous detailed balan ce tests.