[Submitted on 10 Jul 2019]
Allowed -decay spectrum with numerical electron wave functions
Using numerical electron wave functions and state-of-the-art nuclear many-body methods, I evaluate the -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 -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.
- Comments:
- 10 pages, 4 figures, comments and suggestions are welcome
- Subjects:
- Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph)
- arXiv:
- 1907.04560 [pdf]