论文标题
精密毫米波光谱和在高rydberg para-h $ _2 $中
Precision millimetre-wave spectroscopy and calculation of the Stark manifolds in high Rydberg states of para-H$_2$
论文作者
论文摘要
singlet（$ s = 0 $）之间过渡的精确度量h $ _2 $属于$ \ mathrm {x}^+\，^2σ_g^+（v^+= 0，n^+= 0）$ h $ _2^+$的状态的flefational and Spectribosce and Spectribosce and field field field field field field field field field field field field field field field field field spectribosce in Millimetre-necocy in contressept字段。 Stark效应将状态与轨道 - 角度 - 摩托明量子数$ \ ell $的不同值混合在一起，并导致低 - $ \ ell $状态的二次较高偏移，并导致高$ - $ \ ell $州的几乎变性流形的线性变形。在低于50 mV/cm的字段中，观察到对原理50和70的过渡，线宽低于500〜 kHz。使用基质 - 二角化方法计算能量水平的结构，在这种方法中，$ \ ell \ el \ leq 3 $ rydberg状态的零视场位置是从多渠道 - Quantum-Quantum-defect-Fefect-Fefect-theory计算或实验中获得的，以及$ \ ell \ ell \ ell \ geq 4 $ rydberg Station core core core core core core core core core。这种方法的优点是通过MQDT处理包括Rovibronic通道相互作用，同时保留了球形基础的优势来确定Stark操作员的非对角线元素。实验和计算的过渡频率的比较得出了鲜明的歧管的定量描述，残差通常低于50 kHz。我们演示了该过程如何以前所未有的精度导致高rydberg状态的量子缺陷和结合能，从而为测定分子中电离能的新前景开辟了新的前景。
Precision measurements of transitions between singlet ($S=0$) Rydberg states of H$_2$ belonging to series converging on the $\mathrm{X}^+\,^2Σ_g^+(v^+=0,N^+=0)$ state of H$_2^+$ have been carried out by millimetre-wave spectroscopy under field-free conditions and in the presence of weak static electric fields. The Stark effect mixes states with different values of the orbital-angular-momentum quantum number $\ell$ and leads to quadratic Stark shifts of low-$\ell$ states and to linear Stark shifts of the nearly degenerate manifold of high-$\ell$ states. Transitions to the Stark manifold were observed for the principal numbers 50 and 70, at fields below 50 mV/cm, with linewidths below 500~kHz. The energy-level structure was calculated using a matrix-diagonalisation approach, in which the zero-field positions of the $\ell\leq 3$ Rydberg states were obtained either from multichannel-quantum-defect-theory calculations or experiment, and those of the $\ell\geq 4$ Rydberg states from a long-range core-polarisation model. This approach offers the advantage of including rovibronic channel interactions through the MQDT treatment while retaining the advantages of a spherical basis for the determination of the off-diagonal elements of the Stark operator. Comparison of experimental and calculated transition frequencies enabled the quantitative description of the Stark manifolds, with residuals typically below 50 kHz. We demonstrate how the procedure leads to quantum defects and binding energies of high Rydberg states with unprecedented accuracy, opening up new prospects for the determination of ionisation energies in molecules.
