Complex-scaling treatment for high-lying doubly excited resonances for screened Coulomb helium atom

This work presents an investigation on the doubly excited ¹S ^e autoionizing states of screened helium atom lying below the n = 4 threshold of the He⁺ ion. The potential generated in this system is represented by a Yukawa type potential. We have employed complex-coordinate rotation method, as it is a powerful scheme to study high lying resonances. Hylleraas type wave function is used to consider the correlation effect between all the charged particles. Our resonance parameters for the resonances lying below the He⁺ (n = 2) threshold agree well with those of the existing calculations by using the stabilization method. Resonances associated with higher thresholds are new calculations. All the present results are well converged with basis length N = 444.     

Giant resonances on excited states

We derive modified RPA equations for small vibrations about excited states. The temperature dependence of collective excitations is examined. The formalism is applied to the ground state and the first excited state of ⁹⁰Zr in order to confirm a hypothesis which states that not only the ground state but every excited state of a nucleus has a giant resonance built upon it.     

High-order resonances in a parametrically excited magneto-optical trap

We present analytical and numerical study of high-order parametric resonance in a driven magneto-optical trap of cold atoms. We have obtained the general solutions for parametric resonance of arbitrary order. In particular, the amplitude and phase of atomic limit-cycle motion is expressed as a function of the modulation amplitude and frequency. Moreover, the atomic dynamics for high-order parametric resonance is investigated in terms of the Hamiltonian approach, which is useful in studying transitions between attractors. We find that the analytical results are in good agreement with the numerical calculations.     

氦原子单激发和双激发态里德伯系列的相对论能量计算

采用Rayleigh-Ritz变分方法和组态相互作用方法，并进一步考虑相对论修正和质量极化效应，研究了氦原子单激发和双激发态里德伯系列的相对论能量，计算结果与其他理论和实验符合得很好.此外，还计算了该系统之间的振子强度、辐射跃迁率及跃迁波长，振子强度三个规范的计算结果显示出很好的一致性. 关键词： 氦原子 变分计算 振子强度 辐射跃迁率     

Doubly excited resonances of positronium negative ions

Some lower-lying doubly excited ¹S^e and ³S^e resonances of positronium negative ions associated with N = 2 up to N = 5 positronium thresholds are calculated by a method of complex-coordinate rotation. Hylleraas-type wave functions with N = 203 terms are used to represent the system.     

类氦铀离子的双电子激发态辐射衰变特性

讨论了类氢铀离子与H2分子碰撞中,经KLL共振转移和激发过程形成类氦铀离子双电子激发态的机制,分析了实验测量到的X射线能谱和各种竞争过程对X射线能谱的贡献.对由于纯电子-电子相互作用形成的双激发态的Kα辐射衰变的超级卫星线的角分布测量结果表明,角分布呈各向异性,电子态布居存在很强的定向排列.     

Microscopic description of giant resonances in highly excited nuclei

Giant resonances of general multipolarity in highly excited nuclei, which are produced in compound nuclear and deep inelastic heavy ion reactions, are described microscopically in the finite temperature linear response formalism. The linear response function is calculated in the finite temperature (FT) quasi-particle RPA approximation (FT-HFB-RPA) and is based on the corresponding self-consistent quasi-particle basis (FT-HFB). The theory is derived from the small amplitude limit of FT-TDHFB. The inclusion of cranking constraints allows the investigation of giant resonances in nuclei with large intrinsic excitation energy and high spin. A schematic model for the FT-HFB-RPA is developed and applied to the isovector giant dipole resonance in hot spherical nuclei. It is shown that the energy of the resonance depends only weakly on temperature in these systems. The experimentally observed lowering of the giant mode in highly excited nuclei is to be attributed to different effects. The descritpion of resonance damping lies beyond the scope of the random phase approximation. Possible extensions in this direction and qualitative features of the width of giant resonances at finite temperature are discussed.     

Incorporation of doubly excited configurations in calculating the benzene-cyanoethylene complex

A calculation by Pople's method with configuration interaction is presented for the weak complex of benzene with tetracyanoethylene incorporating doubly excited configurations; the bond strength is found as 1.8 kcal/mole, as well as the contributions from the charge-transfer and dispersion forces. The energies of the first four transitions are calculated, the lowest of which are of charge-transfer type.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, Vol. 16, No. 7, pp. 115–118, July, 1973.     

Vibrational resonances of non-rotating HCN in the excited electronic state

A multi reference internally contracted configuration interaction (MRCI) method is used to generate the potential energy function (PEF) of the excited electronic state of HCN molecule. The analytic representation of the PEF is employed to calculate complex eigenvalues (resonance positions and widths) by a discrete variable representation (DVR) of the Hamiltonian for the non-rotating (J =0) molecule. The computational method used is a variant of the filter-diagonalization technique based on a recursive polynomial expansion of the absorbing-boundary-conditions (ABC) Green operator. Reasonable agreement with existing experimental data is found. Received 27 July 1999 and Received in final form 18 October 1999     

The effects of doubly excited states on ionization balance

The effects of highly doubly excited states on ionization balance are investigated. In the calculation, A Collisional-Radiative model in Detailed-Conflguration-Accounting （DCA） is applied to population calculations for NLTE pl＆smas. Configuration-averaged rate coefficients that needed in the rate equations are obtained based onthe first order perturbation theory. The Hatree-Fock-Slater self-consistent-field method is used to calculate theelectron wave functions. The mean ionization stage of high-Z plasma Lu is presented. The comparison shows thatthe mean ionization stage increases more than 3 stages when doubly excited states 5l6l＇ and 5l5l＇ are not included in the population calculations.     

The effects of doubly excited states on ionization balance

The effects of highly doubly excited states on ionization balance are investigated. In the calculation, A Collisional-Radiative model in Detailed-Configuration-Accounting (DCA) is applied to population calculations for NLTE plasmas. Configuration-averaged rate coefficients that needed in the rate equations are obtained based on the first order perturbation theory. The Hatree-Fock-Slater self-consistent-field method is used to calculate the electron wave functions. The mean ionization stage of high-Z plasma Lu is presented. The comparison shows that the mean ionization stage increases more than 3 stages when doubly excited states 5l6l' and 5l5l' are not included in the population calculations.     

Attosecond two-photon interferometry for doubly excited states of helium

We show that the correlation dynamics in coherently excited doubly excited resonances of helium can be followed in real time by two-photon interferometry. This approach promises to map the evolution of the two-electron wave packet onto experimentally easily accessible noncoincident single-electron spectra. We analyze the interferometric signal in terms of a semianalytical model which is validated by a numerical solution of the time-dependent two-electron Schr?dinger equation in its full dimensionality.