2019/07/10 by Dong-Liang Fang, Fang, Dong-Liang
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Radioactive Decay and Measurement Techniques #hep-ph #nucl-th
paper · pdf · doi:10.48550/arxiv.1907.04560
10 pages, 4 figures, comments and suggestions are welcome
arxiv created 2019/07/10 · openalex publication_date 2019/07/10 · arxiv updated 2019/07/11 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
Using numerical electron wave functions and state-of-the-art nuclear many-body methods, I evaluate the β-decay spectra for typical decay channels of spherical nuclei. I check errors brought by various approximations used for deriving the analytical shape factors (the so-called Fermi Function) of allowed decay. I estimate the errors brought by different electric charge distributions and give a way of estimation of β-spectra with available decay data of specific nuclei. I found that the traditional ways of approximating the electron wave functions by Fermi Function could be a very severe source of error for spectra simulation.