Data Analysis of ³⁴Mg

³⁴Mg is of interest, as it is near the magic number N=20. Looking into ³⁴Mg, it decays into ^34,33,32Al via beta decay, beta-delayed neutron emission, and beta-delayed two-neutron emission. Each of these isotopes decay into ^34,33,32Si, which decay into ^34,33,32P, respectively. An additional phenomenon that occurs in ³⁴Si is the release of an additional electron due to E0 transition. With these additional electrons, the scintillator detectors collect more data than should be accounted for from the beta-decay electrons. Data is then collected and analyzed from these decays. What is being evaluated is the half-life values of each isotope and the beta-delayed neutron emission branching ratio.

In this study, we specifically watch the decay chain of ³⁴Mg. The ³⁴Mg decay data is fitted with the use of the Bateman Equations. Throughout each of these different iterations, ³⁴Mg and its decay chain are given different values and ranges to see what gives the best fit for the data. This analysis takes many trials to reach proper conclusions. These conclusions are made with the expectations from previous experiments within their respective errors. The goal of the fit is to extract the beam intensity which would then give an absolute decay rate to help determine the decay feeding intensity.