论文标题
两极和三极分散系数，用于碱 - 地球原子与碱 - 地球原子和碱 - 地球离子的相互作用
Two-dipole and three-dipole dispersion coefficients for interaction of alkaline-earth atoms with alkaline-earth atoms and alkaline-earth ions
论文作者
论文摘要
对于对远程相互作用的研究的兴趣越来越大，对于它们在冷原子物理学中的应用，我们已经对两极$ c_6 $和三极$ C_9 $分散系数进行了理论计算，该系数涉及碱性 - 地球原子，并具有碱性的原子和碱性原子和碱性碱性。 $ C_6 $和$ C_9 $系数是根据动态偶极极化性表示的，这些偶极性极化是使用相对论方法计算得出的。此后，将所计算的$ C_6 $系数与先前报道的值进行了比较。由于任何其他较早的理论或实验结果都无法获得，对于具有碱 - 地球离子和$ C_9 $系数的碱性原子的$ C_6 $系数，我们进行了单独的拟合计算并进行了比较。我们的计算与拟合计算非常匹配。我们还报道了针对碱 - 磨牙离子（即Mg $^+$，Ca $^+$，Sr $^+$，ba $^+$）以及碱性 - 毕业生Atoms（即Mg a atoms of ca，ca，ca ca ca ca ca ca ca ca）的领先和偶极偶极极化的振荡优势。与可用的实验结果相比，这些表现出良好的一致性。
Apropos to the growing interest in the study of long-range interactions which for their applications in cold atom physics, we have performed theoretical calculation for the two-dipole $C_6$ and three-dipole $C_9$ dispersion coefficients involving alkaline-earth atoms with alkaline-earth atoms and alkaline-earth ions. The $C_6$ and $C_9$ coefficients are expressed in terms of the dynamic dipole polarizabilities, which are calculated using relativistic methods. Thereafter, the calculated $C_6$ coefficients for the considered alkaline-earth atoms among themselves are compared with the previously reported values. Due to unavailability of any other earlier theoretical or experimental results, for the $C_6$ coefficients for alkaline-earth atoms with alkaline-earth ions and the $C_9$ coefficients, we have performed separate fitting calculations and compared. Our calculations match in an excellent manner with the fitting calculations. We have also reported the oscillator strengths for the leading transitions and static dipole polarizabilities for the ground states of the alkaline-earth ions, i.e., Mg$^+$, Ca$^+$, Sr$^+$, and Ba$^+$ as well as the alkaline-earth atoms, i.e., Mg, Ca, Sr, and Ba. These, when compared with the available experimental results, show good agreement.
