对称顶分子形变核基本对称性的探讨
Probing Fundamental Symmetries of Deformed Nuclei in Symmetric Top Molecules
摘要：
精确测量重形变核的Schiff矩是研究强子区超越标准模型$T,P$ -破坏的灵敏探针。虽然迄今为止对希夫矩最敏感的限制是用抗磁性原子设定的，但极性多原子分子可以提供具有独特实验优势的更高灵敏度。特别是，对称的顶部分子离子具有$K$ -偶极子的相反的奇偶性与特别小的分裂，导致在低场的完全极化，内部共磁强计状态的系统性影响的拒绝有用的，并能够执行灵敏的搜索$T,P$违反使用少量的捕获离子含有重奇异核。我们认为对称的顶部阳离子$^{225}$ RaOCH $_3^+$作为一个原型和候选平台进行敏感的核希夫测量，并详细描述其内部结构，使用相对论从头计算方法。变形的原子核，大的极化率，和独特的分子结构的增强相结合，使这种分子一个有前途的平台，甚至与一个单一的被困离子寻找基本对称性破坏。
英文摘要：
Precision measurements of Schiff moments in heavy, deformed nuclei are sensitive probes of beyond Standard Model $T,P$-violation in the hadronic sector. While the most sensitive limits on Schiff moments to date are set with diamagnetic atoms, polar polyatomic molecules can offer higher sensitivities with unique experimental advantages. In particular, symmetric top molecular ions possess $K$-doublets of opposite parity with especially small splittings, leading to full polarization at low fields, internal co-magnetometer states useful for rejection of systematic effects, and the ability to perform sensitive searches for $T,P$-violation using a small number of trapped ions containing heavy exotic nuclei. We consider the symmetric top cation $^{225}$RaOCH$_3^+$ as a prototypical and candidate platform for performing sensitive nuclear Schiff measurements and characterize in detail its internal structure using relativistic ab initio methods. The combination of enhancements from a deformed nucleus, large polarizability, and unique molecular structure make this molecule a promising platform to search for fundamental symmetry violation even with a single trapped ion.
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