论文标题
对极化tritium $β$ -decay的相对论校正的研究
A study of the relativistic corrections to polarized tritium $β$-decay
论文作者
论文摘要
诸如Project8和托勒密（Ptolemy）等即将进行的实验旨在高精度调查tritium $β$ -decay频谱对中微子质量敏感的终点。鉴于这种情况，使用标准参数化，以核极性形式因素来分析trium核发出的$β$ - 电子光谱的完全相对论表达。鉴于问题中的小参数，我们会系统地讨论可以进行的近似值，并将前两个校正提交给标准的最低订单公式。我们特别讨论了最初极化靶标的情况，以及对中微子质量函数的频谱的后果。我们表明，尽管它诱导了可以通过未来的实验来衡量的角各向异性，但这种各向异性不能用作限制中微子质量的附加手柄。
Forthcoming experiments like Project8 and Ptolemy aim at investigating with high precision the end-point of the tritium $β$-decay spectrum sensitive to the neutrino mass. In light of this, using the standard parametrization in terms of nuclear polar form factors, we analyze the complete relativistic expression for the spectrum of the $β$-electron emitted by a tritium nucleus. Given the small parameters in the problem, we systematically discuss the approximations that can be made, and present the first two corrections to the standard lowest order formula. We particularly discuss the case of an initially polarized target, and the consequences on the spectrum as a function of the neutrino mass. We show that, while it induces an angular anisotropy that can be measured by future experiments, such anisotropy cannot be used as an additional handle to constrain the neutrino mass.
