Fitting the cross-section probability tables with universal functions

In the unresolved resonance region (URR), cross sections for neutrons interacting with nuclei have resonances that cannot be measured nor predicted, hence only statistical values are provided. The current methodology used to describe such behavior is based on a Monte Carlo realization of resonance ladders, which makes the calculation computationally expensive. Thus, an analytical fit of these probability distributions would considerably speed up their computational time when used in real life applications. The goal of this project is to identify a “universal” function that can be used to fit the probability distribution of a particular reaction channel across the entire nuclear chart. For this project we will generate the zero-temperature probability distribution functions for all the available nuclei, and we will analyze them searching for similar patterns and regularities that can help to identify the proper functions to be used for the fit. Results will be presented for the capture channel for some selected nuclei along with a new approach for the fit of the elastic channel.