### Abstract

The recoil energy spectrum is calculated for allowed β-decay with all form factors up to the weak magnetism and axial tensor terms included. Finite nuclear size and electromagnetic corrections including bremsstrahlung are also given. The results are equivalent to evaluation of the electron neutrino angular correlation but are directly related to the observed quantities and thus more easily interpreted in terms of the higher order form factors. The formulae were applied to the experimental + ^{6}Li^{+} spectrum of Johnson et al. for the decay ^{6}He → ^{6}Li^{+} + e^{-} + v and the best fit yields a tensor form factor consistent with zero, in agreement with the approximate analysis of Calaprice. The implications for a possible second-class current are discussed. The theoretical recoil spectra for the ^{19}Ne and ^{35}Ar mirror decays are also calculated and it is shown that measurements of these spectra, with accuracy equivalent to the ^{6}He data, would yield conclusive evidence for a possible second-class tensor form factor.

Original language | English (US) |
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Pages (from-to) | 46-60 |

Number of pages | 15 |

Journal | Nuclear Physics, Section A |

Volume | 293 |

Issue number | 1-2 |

DOIs | |

State | Published - Jan 1 1977 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

^{6}He,

^{19}Ne and

^{35}Ar.

*Nuclear Physics, Section A*,

*293*(1-2), 46-60. https://doi.org/10.1016/0375-9474(77)90475-4