Cross section measurement for the B10(n,t2α) three-body reaction at 4.0, 4.5, and 5.0 MeV. I. Prediction of the experimental spectrum

Cross sections of the $^{10}\mathrm{B}(n,t2\ensuremath{\alpha})$ three-body reaction were measured at ${E}_{n}=4.0,4.5$, and 5.0 MeV using a twin gridded ionization chamber and a thin-film $^{10}\mathrm{B}$ sample. The present paper is the first part of the work. The experimental spectrum of the $^{10}\mathrm{B}(n,t2\ensuremath{\alpha})$ reaction measured by the gridded ionization chamber (GIC) was predicted. The $^{10}\mathrm{B}(n,t2\ensuremath{\alpha})$ reaction can proceed in three ways, which are referred to as $^{7}\mathrm{L}{\mathrm{i}}^{**},^{8}\mathrm{Be}$, and breakup channels. The energies and directional angles of the three particles in the final states for the $^{7}\mathrm{L}{\mathrm{i}}^{**},^{8}\mathrm{Be}$, and breakup channels were calculated, respectively. Based on these results, the one-dimensional and two-dimensional spectra were calculated through integration. Three kinds of interference reactions were taken into account, which were the $^{10}\mathrm{B}{(n,\ensuremath{\alpha})}^{7}\mathrm{Li}$ reaction, the $\text{H}(n,n)\text{p}$ reaction, and the $(n$,\ensuremath{\alpha}) reactions from the working gas of the GIC. Two effects were considered in the prediction of the experimental spectrum, which were the energy loss of the products in the sample and the wall effect of the sample position well. The predicted spectra play an important role in the guidance of the implementation of the experiment and the processing of the experimental data.