We calculate the cross section of the inverse beta decay process, $\nu_e+n\to p+e$, in a background magnetic field which is much smaller than $m_p^2/e$. Using exact solutions of the Dirac equation in a constant magnetic field, we find the cross section for arbitrary polarization of the initial neutrons. The cross section depends on the direction of the incident neutrino even when the initial neutron is assumed to be at rest and has no net polarization. Possible implications of the result are discussed.
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机译：我们在比$ m_p ^ 2 / e $小得多的背景磁场中计算反beta衰减过程的横截面$ \ nu_e + n \至p + e $。通过在恒定磁场中使用狄拉克方程的精确解，我们找到了初始中子任意极化的横截面。即使假定初始中子静止并且没有净极化，横截面也取决于入射中微子的方向。讨论了结果的可能含义。
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