Calculations Of Allowed Beta Decay Spectra With High Precision

Beta decay has a high research value as a basic phenomenon of nuclear physics.Its experimental results have led to the discovery of neutrino,a new particle,as well as theoretical achievements such as weak interaction and parity asymmetry,and its energy spectrum experiments and theories.Research has always been a hot topic at home and abroad.When comparing the neutrino spectrum of Daya Bay's experiments and theories,the theoretically predicted energy spectrum is higher than the experimental value,the so-called reactor neutrino anomaly^[1].This requires us to further improve the energy spectrum calculation.To meet the corresponding experimental accuracy requirements.In this paper,a high-precision numerical calculation method is used to calculate the radial wave function of particles in different central potential fields.The Fermi function of?decay is calculated numerically,and the corresponding allowable ? decay energy spectrum is obtained.By comparing the electron energy spectra under different potential fields,we studied the effect of atomic size effect on beta decay energy spectrum.