Generalization of the Quark-Like Model (QLM) to Obtain at a Modern Formula for the Positive Beta Decay Energy for the Range of Nuclei
Rafidain Journal of Science,
2021, Volume 30, Issue 3, Pages 38-51
AbstractThe nuclear binding energies of the parent and daughter nuclei, rather than their mass values, were used to calculate the positive beta decay energy ( ) for a wide variety of nuclei ranging from . The Quark-like Model (QLM) was used to compute the positive beta decay energy because it can efficiently compute the nuclear binding energies of the parent and daughter nuclei. As a result, a novel formula for calculating the positive beta decay energy was derived. The employment of a graphical representation between the practical and theoretical binding energies resulted in the generation of linear calibration equations for the parent and daughter nuclei, as well as a correction factor in MeV, resulting in the convergence of experimental and theoretical results. To produce a new final version of the () mathematical derivations were used. The results indicated that after modifying the model utilized, there is an adequate match between the actual and theoretical values, particularly for medium and heavy nuclei, but less so for light nuclei due to the presence of magic numbers and their overlapping in this spectrum. A standard deviation of not more than (2.32) was obtained which can be considered relatively large due to the continuous spectrum of beta decay. The significance of this work lies in the possibility of calculating the values of the decay energies based on the values of the nuclear binding energies, which are calculated based on knowledge of the number of protons and neutrons, resulting in more accurate and efficient results than using the accepted mass formula, because mass values in the atomic mass units of the nuclius are difficult to obtain.
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