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A DISCUSSION OF THE ATOMIC EFFECT IN THE β-DECAY OF 3H AND THE NEUTRINO MASS

QING CHENG-RUI HE ZUO-XIU

A DISCUSSION OF THE ATOMIC EFFECT IN THE β-DECAY OF 3H AND THE NEUTRINO MASS

QING CHENG-RUI, HE ZUO-XIU
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  • Received Date:  02 April 1981
  • Published Online:  27 July 2005

A DISCUSSION OF THE ATOMIC EFFECT IN THE β-DECAY OF 3H AND THE NEUTRINO MASS

  • 1. 中国科学院理论物理研究所

Abstract: In evaluating the β-spectrum of atomic 3H, a more accurate formula is obtained, in which the first three transitions leading to the lowest three states of 3He+ are treated exactly, and the closure approximation is used to estimate the contribution from all excited states with n > 3. The formula thus obtained is compared with that used by Lyubimov et al. in determining the neutrino mass. As a result, it has been shown that the formula used by Lyubimov et al. does not yield an adequate accuracy. Especially the end-point energy they obtained may differ from the true value by 13.6 eV, which would cause an uncertainty of the same order in the value of the neutrino mass.

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