$^{199}$ Hg电偶极矩对强子和半轻子CP破坏耦合常数的严格限制
Rigorous limits for hadronic and semi-leptonic CP-violating coupling constants from the electric dipole moment of $^{199}$Hg
摘要：
采用相对论多体方法，在不同近似水平下，研究了汞原子$α_d$基态的电子-核张量-赝张量相互作用（T-PT）和核Schiff矩相互作用（NSM）引起的电子关联从低水平到高水平的变化.此外，在以前的计算中的差异的似是而非的原因指出。计算结果与实验结果的比较表明，结合$α_d$ Hg的测量值，我们的EDM计算结果与T-PT耦合常数$C_T < 2.31 \times 10^{-9}$和NSM $S<1.55 \times 10^{-12}|e|fm^3$的EDM屈服极限的精度约为3%.从$S$的这个极限出发，结合最新的核结构计算，我们得到了强CP破坏参数$θ_{QCD} < 2.12 \times 10^{-10}$和上下夸克组合色EDMs $(-0.004 \tilde{d}_u + 0.020 \tilde{d}_d) < 1.15 \times 10^{-27} |e| cm$的改进极限.
英文摘要：
Relativistic many-body methods at different levels of approximations are employed to gain insights into the passage of the electron correlations from lower to higher levels in the accurate determination of the electric dipole polarizability ($α_d$) and electric dipole moment (EDM) due to the electron-nucleus tensor-pseudotensor (T-PT) and nuclear Schiff moment (NSM) interactions of the $^{199}$Hg ground state. Moreover, plausible reasons for the differences in the previous calculations are pointed out. Comparison between the calculated and experimental results of $α_d$ indicates that our EDM calculations are about 3\% accurate which in combination with the measured value of $^{199}$Hg EDM yield limits for the T-PT coupling constant $C_T < 2.31 \times 10^{-9}$ and the NSM $S<1.55 \times 10^{-12}|e|fm^3$. From this limit of $S$ and the latest nuclear structure calculation, we get improved limits for the strong CP violating parameter $θ_{QCD} < 2.12 \times 10^{-10}$ and the combined up and down quark chromo-EDMs $(-0.004 \tilde{d}_u + 0.020 \tilde{d}_d) < 1.15 \times 10^{-27} |e| cm$.
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