Interpretation of an empirical systematics of coherence widths

Time analysis of the elastic neutron scattering by the 58Ni nuclei in the range 0.5–0.8 MeV

“…It may be of interest because usually the results presented by different authors in the form of the energy dependence of J w and on its absolute values differ widely. The comparison with the estimations given in [23] that have been done by different methods shows the overall agreement of (51) with the data of other authors for the medium mass compound nuclei and for temperatures T ≈ 1-1.5 MeV.…”

“…This last is averaged on the nuclear volume characteristic of the imaginary part W (r) of the spherical optical potential. As was shown [23] there is a simple relation which connects J w with the width a that determines the rate of absorption of the incident neutrons in the first stage of the reaction:…”

“…Relation (49) becomes useful when a may be expressed through the other known reaction parameters. The corresponding equation [23] has the form…”

“…It means that the compound part of the total scattering cross section is about p c (total) E ∼ = 0.8. The mean lifetime of the compound system t c in terms of the optical model is connected with the volume absorption integral per nucleon J w [23]. The corresponding estimation leads to the value J w ∼ = 53 MeV fm 3 .…”