Energy levels of perturbed 6pnd J = 2 Rydberg states of Pb I by multichannel quantum defect theory

Energy levels of the odd-parity 6pnd J=2 Rydberg states of atomic lead are analyzed by the multichannel quantum defect theory (MQDT) with previous experimental energy levels. The 6pnd (6≤n ≤ 63) J=2 Rydberg energy levels are calculated and optimal MQDT parameters were obtained. Using these parameters, admixture coefficients for each level are calculated to designate the level denotations. The results show that strong channel mixings exist for the levels near the 6p6d (3/2)[5/2]2° and 6p6d (3/2)[3/2]2° pertubers. The five-channel model different from that in literature is used to predict 21 energy positions of 6pnd (1/2)[3/2]2° levels and to determine the denotations of all the 6pnd J=2 Rydberg states under 59788 cm-1 for Pb I.     

铅原子J=2奇宇称能谱的MQDT分析

在多通道量子数亏损理论(MQDT)的基础上,对铅原子J=2奇宇称的MQDT模型进行了分析,并利用MQDT波函数给出了计算高激发态寿命的一般方法,计算并预言了     

锡原子奇宇称5pnd和5pns J = 1, 2 Rydberg系列的多通道量子亏损理论研究

利用多通道量子亏损理论（MQDT）,对锡原子奇宇称5pnd和5pns组态的J = 1,2简并受扰Rydberg系列能级进行了理论分析研究. 通过拟合实验能级,得到了MQDT优化参数,所得理论能级值与文献报道的实验结果符合得很好. 由算得的通道混合系数,分析讨论了通道相互作用特性,确定了所有能级的原子态命名. 本文结果有助于人们更好地了解锡原子高激发态的能级结构和组态相互作用特性.     

Energy levels and radiative lifetimes of 3pns 3P0 and 3pnd 3P0 series of Si I

The energy levels and lifetimes of 3pns ^3po （n = 7 - 35） and 3pnd ^3p0 （n = 6 - 17） series of neutral silicon are calculated and predicted by means of multichannel quantum defect theory （MQDT）. In addition, the perturbation caused by core-excited state 3s3p^3 is discussed. The 3pnd ^3p0 series, especially 3p4d ^3p0, 3p5d ^3P0, and 3p6d ^3P0 are perturbed strongly by the core-excited state 3s3p3 ^3P0. These cause the lifetime of 3pnd ^3P0 （n = 5 - 7） to be less than that of 3p4d 3Po. The lifetimes of 3p14d ^3P0 （65479.14 cm^-1） and 3p16d ^3p0 （65608.77 cm^-1） are less than that of their frontal states respectively, because these states are perturbed by 3p22s ^3p0 （65476.48 cm-1） and 3p30s ^3p0 （65608.99 cm^-1） respectively.     

Energy levels of perturbed 6p<Emphasis Type="Italic">n</Emphasis>d <Emphasis Type="Italic">J</Emphasis>=2 Rydberg states of Pb I by multichannel quantum defect theory

Energy levels of the odd-parity 6pnd J=2 Rydberg states of atomic lead are analyzed by the multichannel quantum defect theory (MQDT) with previous experimental energy levels. The obtained. Using these parameters, admixture coefficients for each level are calculated to designate the level denotations. The results show that strong channel mixings exist for the levels near the 6pnd (3/2)[5/2]₂ ⁰ and 6p6d (3/2)[3/2]₂ ⁰ pertubers. The five-channel model different from that in literature is used to predict 21 energy positions of 6pnd (1/2)[3/2]₂ ⁰ levels and to determine the denotations of all the 6pnd J=2 Rydberg states under 59788 cm⁻¹ for Pb I.     

铅原子奇宇称Rydberg系列寿命的研究

在多通道量子数亏损理论(MQDT)的基础上,利用已给出的用MQDT波函数统一计算高激发态寿命的方法,计算并预言了J=1奇宇称两个Rydberg系列的寿命,在利用MQDT计算时,确定了6p6d3/2[3/2]₁⁰的能级位置.     

GaII能谱的多通道量子数亏损理论(MQDT)分析

本文利用多通道量子数亏损理论(MQDT),通过拟合Isberg等人新近关于Gall的实验能级数据,确定出偶宇称J=0,1,2,3和奇宇称J=1,2六个对称块的MQDT参数,预言了11个Rydberg系列离散能级的位置,并分析了各Rydbyrg系列之间的干扰情况,除个别低能级外,能级计算值与已测得的实验值符合得很好。 关键词：     

铅原子J=2偶宇称Rydberg系列组态相互作用对光谱强度的影响

实验获得了碳族原子铅的偶宇称J=0和2的束缚Rydberg态能级,利用六通道模型分析了铅原子J=2的束缚Rydberg系列之间强烈的组态相互作用对电离光谱的影响.     

Rydberg series of alkaline-earth atoms Ca through Ba. the interplay of laser spectroscopy and multichannel quantum defect analysis

The purpose of this paper is to show how the strong interplay between the laser spectroscopy measurements and theoretical analyses performed using the multichannel quantum defect theory (MQDT) has considerably enlarged our knowledge of Rydberg states if alkaline-earth atoms Ca through Ba. The major motives for the interest in the two-electron systems is the ability to study interacting Rydberg series. The perturbations of principal Rydberg series by doubly-excited states are reflected not only on the level structure but also in various observable quantities such as oscillator strenghts, lifetimes, hyperfine structure, isotope shifts, Landé factors. The MQDT is a powerful tool for studying the mutual interaction of perturbing series but sometimes energy values represent a too limited data set to derive reliable wavefunctions. Experimental data on observables other than energies are then of prime importance to check or even extend MQDT models deduced from energies. A large part of the paper is devoted to the new possibilities offered by high-resolution spectroscopy to analyze state-mixing and thus to probe MQDT wavefunctions. Numerous illustrative examples as well as several prospects for future experimental and theoretical investigations are presented throughout this paper.     

Energy level analyses of even-parity J = 1 and 2 Rydberg states of Sn I by multichannel quantum defect theory

This paper analyzes the energy levels along the even-parity J=1 and 2 Rydberg series of Sn I by multichannel quantum defect theory. A good agreement between theoretical and experimental energy levels was achieved. Below 59198 cm-1, a total of 85 and 23 new energy levels, respectively, in the J=1 and J=2 series, which cannot be measured previously by experiments, are predicted in this work. Based on the calculated admixture coefficients of each channel, interchannel interactions were discussed in detail. The results are helpful to understand the characteristics of configuration interaction among even-parity levels in Sn I.     

汞原子6sns 3S1,6snd 3D1 Rydberg系列的寿命

利用多通道量子数亏损理论计算了汞原子6sns^3S1(n=11～25),6snd^3D1(n=12～24)两个Rydberg系列的能级和寿命,给出了这两个系列寿命所遵循的公式,6sns^3S。系列为r=0．814v^2.835(ns),6snd^3D1系列为r=0．302v^2.926ns),其中v为有效量子数。     

Lifetimes of high Rydberg states of methyl halides

The lifetimes of high Rydberg states of the methyl halides CH₃I, CH₃Br and CH₃Cl have been studied. A pulsed dye laser tuned near half the ionization energy was used, with preprogrammed field pulses, and the high Rydberg states of the compounds in selected ranges of n values were ionized after a variable delay. Plots of the electron signal versus delay yielded information about the Rydberg state lifetime. The clearest trend was found for around n = 120–160: the lifetimes of the states decreased by more than an order of magnitude from CH₃I (τ ≈12.3 μs) through CH₃Br to CH₃C1. Within the range studied, the theoretically predicted increase in lifetimes (n ⁵ or n ³) was not found, and in fact the highest group of states studied (with n > 215) exhibited for all three compounds relatively short lifetimes (≈2-3 μs), possibly due to collisional processes.     

Theoretical calculation of energy levels and radiative lifetimes of Tl I

Considering the perturbation, the results of theoretical calculation of five Rydberg series energy levels 6s2ns^2S1/2 （n = 7 - 20）, 6s^2nd^2D3/2 （n = 6 - 20）, 6s^2nd^2D5/2 （n = 6 - 20）, 6s^2np^2P1/2^0 （n = 7- 20）, and 6s^2np^2P3/2^0 （n = 7-20） for Tl I are presented using the weakest bound electron potential model （WBEPM） theory. Furthermore, the radiative lifetimes of this five series are also calculated. The calculated values of energy levels and lifetimes are in good agreement with the experimental results.     

碳原子里德堡能级的计算

依据最弱受约束电子势模型及其微扰修正理论,计算了碳原子1s22s22pns 3P02,1,0 (n=3-50) 和1s22s22pnd 3F03,2 (n=3-50)里德堡系列能级和量子亏损。计算结果与已有的实验结果符合得很好。     

Saturation effects on Ba 6phi （l=0, 2） and 6pnk （｜M｜= 0, 1） autoionization spectra

Using a three-step laser saturation excitation technique, the saturation effects on the Ba 6pns （J = 1） and 6pad （J = 1, 3） autoionization spectra are observed systemically in zero field. These saturation spectra are introduced to determine the high n members of 6pnl （l = 0, 2） autoionizing series and are used to analyse the channel interactions among the autoionizing series in zero field. Furthermore, the saturation excitation technique is applied to the electric field case, in which the saturation spectra of Ba 6pnk （｜M｜= 0, 1） autoionizing Stark states are measured. Most of these saturation spectra are observed for the first time so far as we know, which indicate the mixing of the autoionizing states in the electric fields.     

Radiative lifetimes of Rydberg states of BeⅠ and BeⅢ

By using the multichannel quantum defect theory(MQDT),we have evaluated the energy levels and lifetimes of 2sns ^3 S1,2snd ^3D(n=3-25)of BeI and 1 sns ^3s1,1snd ^3D(n=3-25)of BeⅢ,These energies and lifetimes that we have calculated not only agree with the recent measurements and theoretical calculation of Ref.4 and Ref.3, but also predict the lifetimes of 66 other highly excited states.     

Lifetimes of Rydberg states of Eu atoms

The radiative lifetimes of the Eu 4f76snp(8PJ or10PJ)Rydberg states with J=5/2 and 11/2 are investigated with a combination of multi-step laser excitation and pulsed electric field ionization,from which their dependence on the effective principal quantum number is observed.The lifetimes of 21 states are reported along with an evaluation of their experimental uncertainty.The influence of blackbody radiation,due to the oven temperature,on the lifetime of the higher-n states is detected.The non-hydrogen behavior of the investigated states is also observed.     

Spectroscopy and scattering matrices with nitrogen atom: Rydberg states and optical oscillator strengths

The scattering matrices of ${\rm e}+ {\rm N}^{+}$ with $J^\pi=1.5^{+}$ in discrete energy regions are calculated using the eigenchannel R-matrix method. We obtain good parameters of multichannel quantum defect theory (MQDT) that vary smoothly as the function of the energy resulting from the analytical continuation property of the scattering matrices. By employing the MQDT, all discrete energy levels for N could be calculated accurately without missing anyone. The MQDT parameters (i.e., scattering matrices) can be calibrated with the available precise spectroscopy values. In this work, the optical oscillator strengths for the transition between the ground state and Rydberg series are obtained, which provide rich data for the diagnostic analysis of plasma.     

C-NOT gate based on ultracold Rydberg atom interactions

The Rydberg states of neutral atoms are strongly polarisable and possess long lifetimes because of high energies which can lead to strong and long range dipole-dipole interactions.The energy levels corresponding to these states are shifted because of dipole-dipole interactions and can be used to block transitions of more than one excitation in the Rydberg regime.This reputed Rydberg blockade is obtained when the excitation is shifted out of resonance by these interactions.Electromagnetically induced transparency(EIT)is sensitive to a small detuning.At large distances,up to several micrometers,the interactions can interrupt the EIT consequence.Herein we investigate a novel scheme based on EIT and Rydberg blockade and performed a simulation of a controlled-NOT(C-NOT)quantum gate which is critical for quantum computation by using neutral atoms.     

Experimental verification of minima in excited long-range Rydberg states of Rb2

Recent theoretical studies with alkali atoms A* excited to high Rydberg states predicted the existence of ultra-long-range molecular bound states. Such excited dimers have large electric dipole moments which, in combination with their long radiative lifetimes, make them excellent candidates for manipulation in applications. This Letter reports on experimental investigations of the self-broadening of Rb principal series lines, which revealed multiple satellites in the line wings. The positions of the satellites agree quantitatively with theoretically predicted minima in the excited long-range Rydberg states of Rb2.