Abstract
In this work, new cross section formulae for (n, p) and (n, d) reactions of He-3 have been investigated as a function of incident neutron energy. The new Empirical formulae were produced by using the least squares method to the experimental cross sections data, which were taken from Experimental Nuclear Reaction Data EXFOR Database Version of 2021. Several functions were examined to choose the best one that fits the data. Statistical hypothesis testing was used to insure how well the suggested equations fit the set of data. Two statistical indicators were used for each case for goodness-of-fit. Very high compatibility was found between the empirical values and the experimental data for both reactions.
Highlights
The nucleus helium-3 (He-3) which proposed for the first time by the Mark Oliphant in 1934 [1] has very much importance in the field of radiation instrumentation and nuclear safeguards [2] and [3]
New cross section formulae for (n, p) and (n, d) reactions of He-3 have been investigated as a function of incident neutron energy
The new Empirical formulae were produced by using the least squares method to the experimental cross sections data, which were taken from Experimental Nuclear Reaction Data EXFOR Database Version of 2021
Summary
The nucleus helium-3 (He-3) which proposed for the first time by the Mark Oliphant in 1934 [1] has very much importance in the field of radiation instrumentation and nuclear safeguards [2] and [3]. Neutron capture of the He-3 nucleus is an indication of a nuclear reaction in which a neutron (n) bombards He-3 results in the emission of a proton (p), deuteron (d), tritium (T), or γ-ray All these interactions are of special importance in a lot of scientific fields [4] and [5]. The creation of the best-fit formulas for the observed set of points was to reduce the sum of squares of the residuals of the points from the curve. Cross section of this reaction at a range of incident neutron energy 0.15 - 150 keV was measured [19]. The cross section of (n, d) reaction of He-3 target with 14.4 MeV incident neutron energy has been measured using a counter telescope [23]
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