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The Configuration Interaction method is applied to investigate the possibility of positron binding to the metastable beryllium (1s^22s2p 3Po) state. The largest calculation obtained an estimated energy that was unstable by 0.00014 Hartree…

Atomic Physics · Physics 2007-05-23 M. W. J. Bromley , J. Mitroy

The Configuration Interaction (CI) method using orbitals centered on the nucleus has recently been applied to calculate the interactions of positrons interacting with atoms. Computational investigations of the convergence properties of…

Atomic Physics · Physics 2007-05-23 J. Mitroy , M. W. J. Bromley

In this study, we extend the multicomponent heat-bath configuration interaction (HCI) method to excited states. Previous multicomponent HCI studies have been performed using only the variational stage of the HCI algorithm as they have…

Chemical Physics · Physics 2022-01-12 Naresh Alaal , Kurt R. Brorsen

The Configuration Interaction (CI) method using a large Laguerre basis restricted to l = 0 orbitals is applied to the calculation of the He ground state. The maximum number of orbitals included was 60. The numerical evidence suggests that…

Atomic Physics · Physics 2007-05-23 J. Mitroy , M. W. J. Bromley , K. Ratnavelu

The polarizabilities and hyperpolarizabilities of the Be$^+$ ion in the $2^2S$ state and the $2^2P$ state are determined. Calculations are performed using two independent methods: i) variationally determined wave functions using Hylleraas…

Atomic Physics · Physics 2009-10-21 Li-Yan Tang , Jun-Yi Zhang , Zong-Chao Yan , Ting-Yun Shi , James F. Babb , J. Mitroy

We report a theoretical study on the long-range additive and nonadditive potentials for a three-body hybrid atom-atom-ion system composed of one ground $S$ state Li atom, one excited $P$ state Li atom and one ground $S$ state Li$^+$ ion,…

Atomic Physics · Physics 2021-09-02 Pei-Gen Yan , Li-Yan Tang , Zong-Chao Yan , James F. Babb

Some typical kinetic energy integrals which arise in the application of extended Hylleraas-configuration interaction (E-Hy-CI) function in the framework of Rayleigh-Ritz method of variation, have been evaluated analytically for two-electron…

Atomic Physics · Physics 2018-02-01 B Padhy

The variational procedure to construct compact and accurate wave functions for three-electron atoms and ions is developed. The procedure is based on the use of six-dimensional gaussoids written in the relative four-body coordinates $r_{12},…

Atomic Physics · Physics 2011-01-11 Alexei M. Frolov , David M. Wardlaw

General formulas for calculating the several leading long-range interactions among three identical atoms where two atoms are in identical $S$ states and the other atom is in a $P$ state are obtained using perturbation theory for the…

Atomic Physics · Physics 2016-08-16 Pei-Gen Yan , Li-Yan Tang , Zong-Chao Yan , James F. Babb

We present a new high-performance configuration interaction code optimally designed for the calculation of the lowest energy eigenstates of a few electrons in semiconductor quantum dots (also called artificial atoms) in the strong…

Strongly Correlated Electrons · Physics 2007-05-23 Massimo Rontani , Carlo Cavazzoni , Devis Bellucci , Guido Goldoni

A version of the configuration interaction (CI) method is developed which treats highly excited many-electron basis states perturbatively, so that their inclusion does not affect the size of the CI matrix. This removes, at least in…

Atomic Physics · Physics 2017-01-25 V. A. Dzuba , J. Berengut , C. Harabati , V. V. Flambaum

The multi-configuration Dirac-Hartree-Fock method was employed to calculate the total and excitation energies, oscillator strengths and hyperfine structure constants for low-lying levels of Sm I. In the first-order perturbation…

Atomic Physics · Physics 2015-09-16 Fuyang Zhou , Yizhi Qu , Jiguang Li , Jianguo Wang

A detailed analysis on the effect of spherical impenetrable confinement on the structural properties of two-electron ions in S-states have been done. The energy values of 1sns [n = 2-4] (3Se) states of helium-like ions (Z = 2-5) are…

Atomic Physics · Physics 2015-11-26 J. K. Saha , S. Bhattacharyya , T. K. Mukherjee

The computation of small concise and comprehensible excited state wave functions is needed because many electronic processes occur in excited states. But since the excited energies are saddle points in the Hilbert space of wave functions,…

Chemical Physics · Physics 2016-02-04 Naoum C. Bacalis

The projection method is used to demonstrate the existence of positron attachment to three doubly excited states of helium. The e^+He(2s^2 1Se), e^+He(3s^2 1Se), and the e^+He(2s2p 3Po) states have binding energies of 0.447eV, 0.256eV and…

Atomic Physics · Physics 2013-05-28 M. W. J. Bromley , J. Mitroy , K. Varga

We study theoretically interaction potentials and low energy collisions between different alkali atoms and alkali ions. Specifically, we consider systems like X + Y$^{+}$, where X(Y$^{+})$ is either Li(Cs$^+$) or Cs(Li$^+$), Na(Cs$^+$) or…

Atomic Physics · Physics 2016-09-13 Arpita Rakshit , Chedli Ghanmi , Hamid Berriche , Bimalendu Deb

The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechanical few-body system is problematic when applied to particles interacting through contact forces. In dimensions higher than one the approach…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 M. Rontani , G. Eriksson , S. Åberg , S. M. Reimann

We calculate the isotope independent Li$^+$-Li potential energy curves for the electronic ground and first excited states. Scattering phase shifts and total scattering cross section for the $^7$Li$^+$-$^7$Li collision are calculated with…

Atomic Physics · Physics 2020-05-20 A. Pandey , M. Niranjan , N. Joshi , S. A. Rangwala , R. Vexiau , O. Dulieu

Methods for correcting residual energy errors of configuration interaction (CI) calculations of molecules and other electronic systems are discussed based on the assumption that the energy defect can be mapped onto atomic regions. The…

Chemical Physics · Physics 2022-10-05 Jerry L. Whitten

Short-range corrections to long-range selected configuration interaction calculations are derived from perturbation theory considerations and applied to harmonium (with two to six electrons for some low-lying states). No fitting to…

Chemical Physics · Physics 2024-07-19 Anthony Scemama , Andreas Savin