The RaF molecule is considered to be a potential candidate to search for the electron electric dipole moment and other effects of the time-reversal $\left(T\right)$ and spatial parity $\left(P\right)$ symmetries violation of fundamental interactions as well as $T$-even, $P$-odd effects. Recently, the existence of a suitable laser-cooling scheme for this molecule was proven experimentally, R. F. Garcia Ruiz et al. [Nature (London) 581, 396 (2020)]. In the present paper, we study energy levels, $g$-factors, and sensitivities to the electron electric dipole moment as functions of the external electric field for the lowest rotational levels of ${}^{224,226,228}\mathrm{RaF}$ molecules. The state with zero sensitivity to the electron electric dipole moment suitable to test systematic effects is found. Also energy levels of ${}^{223,225}\mathrm{RaF}$ as functions of the external magnetic field are calculated for the lowest rotational levels. The values of magnetic fields corresponding to the crossing of the levels of opposite parity are found. For these values of the magnetic field, the off-diagonal matrix element of the nuclear spin-dependent parity violation interaction is calculated. The obtained data can be used to design experiments to search for the $T,P$- and $P$-violating effects using the RaF molecule.

中文翻译：

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单氟化镭RaF在外部电场和磁场中的能级以寻找P和T，P违反效应

RaF分子被认为是寻找电子偶极矩和时间反转的其他效应的潜在候选者 $（Ť）$ 和空间均等 $（P）$ 违反基本相互作用的对称性以及 $Ť$-甚至， $P$奇效果。最近，RF Garcia Ruiz等人通过实验证明了一种适合该分子的激光冷却方案。[ Nature（London） 581，396（2020）]。在本文中，我们研究了能级$G$最低旋转水平时，电子偶极矩的电子因数和对电子偶极矩的敏感度是外部电场的函数 ${}^{224，226，228}\mathrm{RaF}$分子。发现对电子偶极矩的灵敏度为零的状态适合测试系统效应。还有能量水平${}^{223，225}\mathrm{RaF}$对于最低旋转水平，将计算作为外部磁场函数的函数。找到对应于相反奇偶校验电平的相交的磁场值。对于这些磁场值，计算核自旋相关的奇偶校验违反相互作用的非对角矩阵元素。获得的数据可用于设计实验以搜索$Ť，P$-和 $P$-使用RaF分子破坏效果。