Doubly excited<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mi>P</mml:mi><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>resonance states of helium and the hydrogen negative ion interacting with Coulomb and screened Coulomb potentials

Kar, Sabyasachi; Ho, Yew Kam

doi:10.1103/physreva.83.042506

Cited by 24 publications

(5 citation statements)

References 64 publications

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“…Spatially confined negative hydrogen ion

{(H}^{-})

is an interesting system which, unlike other two‐electron ions, has received limited attention from researchers . Few works are also available in the context of H – ion embedded in plasma environment . H – ion plays a fundamental role in the understanding of effect of correlation in three‐body quantum mechanical systems.…”

Section: Introductionmentioning

confidence: 99%

Explicitly correlated variational estimates of the energy levels of negative hydrogen ion under spatial confinement

Chandra¹,

Dutta²,

Saha

et al. 2018

Int J of Quantum Chemistry

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Comprehensive investigations on the structural modifications of negative hydrogen ion within an impenetrable spherical domain has been performed in the framework of Ritz variational method. Electron correlation plays a major role in the formation of H– ion. The Hylleraas‐type basis set expansion of wave function considered here incorporates the effect of electron correlation in an explicit manner. Energy values of 1s2 (1normalSnormale), 2p2 (3normalPnormale) and 1sn p (1,3normalPnormalo) states (n=2−5) of H– ion within confined domain have been calculated. Although the singly excited states do not exist for a “free” H– ion, well converged energy values of such states have been found within a wide range of confinement radius. The thermodynamic pressure felt by the ion inside the sphere is also estimated. The general trend shows successive destabilization of the excited energy levels with increase of pressure. The contribution of angular correlation in the energy values have been estimated. Evolution of 1s2 (1normalSnormale) and 2p2 (3normalPnormale) energy levels of H– ion as quasi‐bound states are being reported.

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“…Spatially confined negative hydrogen ion

{(H}^{-})

Section: Introductionmentioning

confidence: 99%

Explicitly correlated variational estimates of the energy levels of negative hydrogen ion under spatial confinement

Chandra¹,

Dutta²,

Saha

et al. 2018

Int J of Quantum Chemistry

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show abstract

“…For the SCP case, ground and excited states have been studied for some time and in some detail (see, for example, Refs. [9][10][11][12][13] and several older references cited therein). On the other hand, for ECSCP much less has been presented in the literature.…”

Section: Introductionmentioning

confidence: 99%

Correlated expansions ofn1Sandn3Sstates for two-electron atoms in exponential cosine scre

Ancarani

Rodriguez

2014

Phys. Rev. A

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Two-electron atoms embedded in a plasma environment are studied with screened and exponential cosine screened Coulomb model potentials. Within a configuration interaction approach, and using parameter-free explicitly correlated basis functions, we have calculated the ground-state and first excited-state energies (and other mean values) for H − , He, and Li + . We analyze their evolution with the screening parameter and provide simple fits, which allow for practical and rapid evaluations for example in plasma applications.

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“…For two-electron atomic systems, utilizing the highly correlated wave functions to deal with the screened electron-electron correlation has been successfully implemented and provided highly accurate results [1][2][3][4][5]. Recently, Kar and Ho [6,7] have investigated the doubly excited resonance states of He and H − with screened Coulomb interactions. Using the correlated wave functions such as the configurationinteraction-type basis and exponential functions, the resonance energies and half-widths are calculated within the frameworks of the complex coordinate rotation method for the pure Coulomb potential and the stabilization method for the screened Coulomb potential.…”

Section: Introductionmentioning

confidence: 99%

Spectral data of helium atoms with screened Coulomb potentials using theB-spline approach

Lin

2012

Phys. Rev. A

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In this work, we present spectral data of helium atoms with the screened Coulomb interactions using the B-spline configuration interaction approach. One of the challenges that we face is the electron-electron interaction under the screening effect. Instead of using explicitly correlated exponential wave functions which depend on the interelectron distance, we expand the screened electron-electron potential utilizing the Gegenbauers addition theorem for the separation of the radial variables. Several energies of the 1,3 S, 1,3 P , and 1,3 D states varying with screening parameters are reported. It is noted that the screening effects lead to the level crossings for high-lying states. We demonstrate the influence of screening on the oscillator strengths for the transitions of 1 S-1 P , 3 S-3 P , 1 P -1 D, and 3 P -3 D. The variation of the multipole polarizabilities, such as dipole, quadrupole, and octupole, with the screening effect is reported.

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Doubly excited1,3Peresonance states of helium and the hydrogen negative ion interacting with Coulomb and screened Coulomb potentials

Cited by 24 publications

References 64 publications

Explicitly correlated variational estimates of the energy levels of negative hydrogen ion under spatial confinement

Explicitly correlated variational estimates of the energy levels of negative hydrogen ion under spatial confinement

Correlated expansions ofn1Sandn3Sstates for two-electron atoms in exponential cosine scre

Spectral data of helium atoms with screened Coulomb potentials using theB-spline approach

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