论文标题
中子和核$β$ - 季节的辐射校正：文献中的严重运动学问题
Radiative corrections to neutron and nuclear $β$-decays: a serious kinematics problem in the literature
论文作者
论文摘要
我们报告了订单的Bremsstrahung光子部分中的一个严重运动学问题 - $α$外部（模型独立）辐射校正计算的计算，用于检测PROTON（RECOIL粒子）的中子（和核β）衰变可观察到的可观察到的衰变（例如电子中性 - 中性相关参数测量）。所谓的中微子型辐射校正计算，该计算固定了Bremsstrahung光子积分中的中微子方向，使用3体衰减运动学将未观察到的中微子方向与观察到的电子和质子（后座粒子）矩（后粒粒子）相连。但是Bremsstrahung光子的存在将运动学从3体变为4体，并且由于相对于光子动量的整合而丢失了有关后坐力颗粒动量的准确信息。因此，在文献中相当普遍的辐射校正计算中上述三体衰减运动学连接的应用是不可接受的。我们表明，正确的，所谓的后坐类型辐射校正计算，这些计算固定了质子（后壳颗粒）动量，而不是中微子方向，并且使用涉及分析性，半分析或蒙特卡洛·布雷姆斯特拉隆整合方法，通常会导致比不良中性中性中性中性型分析方法更大的校正。
We report a serious kinematics problem in the bremsstrahlung photon part of the order-$α$ outer (model independent) radiative correction calculations for those neutron (and nuclear beta) decay observables (like electron-neutrino correlation parameter measurement) where the proton (recoil particle) is detected. The so-called neutrino-type radiative correction calculations, which fix the neutrino direction in the bremsstrahlung photon integrals, use 3-body decay kinematics to connect the unobserved neutrino direction with the observed electron and proton (recoil particle) momenta. But the presence of the bremsstrahlung photon changes the kinematics from 3-body to 4-body one, and the accurate information about the recoil particle momentum is lost due to the integration with respect to the photon momentum. Therefore the application of the abovementioned 3-body decay kinematics connection for the radiative correction calculations, rather prevalent in the literature, is not acceptable. We show that the correct, so-called recoil-type radiative correction calculations, which fix the proton (recoil particle) momentum instead of the neutrino direction and use rather involved analytical, semianalytical or Monte Carlo bremsstrahlung integration methods, result usually in much larger corrections than the incorrect neutrino-type analytical methods.
