2019/05/15 by N. Furutachi, F. Minato, O. Iwamoto · 1 voice
Physics and Astronomy · #nucl-th
paper · pdf · doi:10.1103/physrevc.100.014610
published as Phys. Rev. C 100, 014610 (2019) · 8 pages, 6 figures, to be submitted to Phys. Rev. C
arxiv created 2019/05/15 · arxiv published 2019/05/15 · arxiv updated 2019/07/31
We investigated the probability distribution of the thermal neutron capture cross section (σth) deduced stochastically with the resonance parameters randomly sampled from Wigner and Porter-Thomas distributions. We found that the typical probability distribution has an asymmetric shape. While there is a long tail on the large σth side due to a resonance happening to be close to the thermal energy, the multi-resonance contribution considerably reduces the probability on the small σth side. We also found that the probability distributions have a similar shape if nuclei have an average resonance spacing sufficiently larger than an average radiation width. We compared the typical probability distribution with the distribution of the experimental values of 193 nuclei, and found a good agreement between them.