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arXiv 2101.01014hep-phnucl-ex
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关于中子β衰变的相关系数T(E_e)--离散P、C和T对称下的相关结构不变量

On the correlation coefficient T(E_e) of the neutron beta decay, caused by the correlation structure invariant under discrete P, C and T symmetries

A. N. Ivanov, R. Höllwieser, N. I. Troitskaya, M. Wellenzohn, Ya. A. Berdnikov

摘要:

我们分析了Ebel和Feldman(Nucl.Phys.4,213(1957))提出的相关系数T(E_e)。相关系数T(E_e)是由中子自旋与反中微子3-动量和电子自旋与电子3-动量的相关引起的。这种关联结构在离散的P、C和T对称下是不变的。在大核子质量m_N展开式中,计算得到的相关系数T(E_e)为T(E_e)= -2g_A(1 + g_A)/(1 + 3g_2_A)= - B_0,即|T(E_e)|其中$g_A$是轴向耦合常数。在标准模型(SM)中,考虑O(α/π)级辐射修正或与外模型无关的辐射修正(α为精细结构常数),以及由弱磁性和质子反冲引起的O(E_e/m_N)级修正,在10^{-3}水平上描述了相关系数$T(E_e)$。我们还计算了SM以外的相互作用的贡献,包括第二类电流的贡献。

英文摘要:

We analyze the correlation coefficient T(E_e), which was introduced by Ebel and Feldman (Nucl. Phys. 4, 213 (1957)). The correlation coefficient T(E_e) is induced by the correlations of the neutron spin with the antineutrino 3-momentum and the electron spin with the electron 3-momentum. Such a correlation structure is invariant under discrete P, C and T symmetries. The correlation coefficient T(E_e), calculated to leading order in the large nucleon mass m_N expansion, is equal to T(E_e) = - 2 g_A(1 + g_A)/(1 + 3 g^2_A) = - B_0, i.e. of order |T(E_e)| ~ 1, where $g_A$ is the axial coupling constant. Within the Standard Model (SM) we describe the correlation coefficient $T(E_e)$ at the level of 10^{-3} by taking into the radiative corrections of order O(α/π) or the outer model-independent radiative corrections, where αis the fine-structure constant, and the corrections of order O(E_e/m_N), caused by weak magnetism and proton recoil. We calculate also the contributions of interactions beyond the SM, including the contributions of the second class currents.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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