Abstract
The new code BetaShape has been developed in order to improve the nuclear data related to beta decays. An analytical model was considered, except for the relativistic electron wave functions, for ensuring fast calculations. Output quantities are mean energies, log ft values and beta and neutrino spectra for single and multiple transitions. The uncertainties from the input parameters, read from an ENSDF file, are propagated. A database of experimental shape factors is included. A comparison over the entire ENSDF database with the standard code currently used in nuclear data evaluations shows consistent results for the vast majority of the transitions and highlights the improvements that can be expected with the use of BetaShape.
Highlights
By its very nature, beta decay is a three-body process, producing a beta electron, a neutrino and a daughter nucleus, all having continuous energy spectra
In order to ensure very fast calculations, this program uses simple analytical models that lead to a lack of accuracy: any lepton or nuclear wave function is calculated; the electron is assumed to interact with the Coulomb field of a point nucleus; inaccurate corrections estimate both the screening effect and the shape factors of first and second forbidden unique transitions
The input ENSDF file, which can include more than one radionuclide decay, is sent to the Ensdf class where information is read; the transitions to be calculated are determined and sorted by radionuclide; and log files are created for further inspection by the user
Summary
Beta decay is a three-body process, producing a beta electron, a neutrino and a daughter nucleus, all having continuous energy spectra. Users require lower uncertainties than those present in current nuclear databases, as well as the full beta and neutrino spectra Following this renewed interest, a review of the existing codes has been conducted showing their limitation in terms of the nature of the transitions calculated and the analytical formalisms whose restrictive approximations do not allow calculations of high accuracy. The LogFT program is based on the original code from [4] and was developed over a period of more than 30 years This code handles both beta and electron capture transitions and propagates the uncertainties of the input parameters. Improved physical models were implemented when developing the BetaShape program described below This program includes a database of experimental shape factors and provides mean energies, log f t values and the associated energy spectra for beta transitions.
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