Analytic Independent-Particle Model for Atoms

Green, Alex E. S.; Sellin, D.L.; Zachor, A. S.

doi:10.1103/physrev.184.1

Cited by 444 publications

(157 citation statements)

References 10 publications

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“…Therefore, we drop this term in the following. In the same way as in the CTMC model, for V p here we also choose the GSZ potential [42] for the determination of the e-P and P-T interaction [cf. Eq.…”

Section: B the Cdw-eis Modelmentioning

confidence: 99%

Ionization of small molecules induced byH+, He+, and
Kovács
¹
,
Herczku
²
,
Juhász
³

et al. 2016
Phys. Rev. A

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We report the energy and angular distribution of ejected electrons from CH 4 and H 2 O molecules impacted by 1 MeV H + , He + , and 650 keV N + ions. Spectra were measured at different observation angles, from 2 to 2000 eV. The obtained absolute double-differential electron-emission cross sections (DDCSs) were compared with the results of classical trajectory Monte Carlo (CTMC) and continuum distorted wave, eikonal initial state (CDW-EIS) calculations. For the bare H + projectile both theories show remarkable agreement with the experiment at all observed angles and energies. The CTMC results are in similarly good agreement with the DDCS spectra obtained for impact by dressed He + and N + ions, where screening effects and electron loss from the projectile gain importance. The CDW-EIS calculations slightly overestimate the electron loss for 1 MeV He + impact, and overestimate both the target and projectile ionization at low emitted electron energies for 650 keV N + impact. The contribution of multiple electron scattering by the projectile and target centers (Fermi shuttle) dominates the N + -impact spectra at higher electron energies, and it is well reproduced by the nonperturbative CTMC calculations. The contributions of different processes in medium-velocity collisions of dressed ions with molecules are determined.

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Section: B the Cdw-eis Modelmentioning

confidence: 99%

Ionization of small molecules induced byH+, He+, and
Kovács
¹
,
Herczku
²
,
Juhász
³

et al. 2016
Phys. Rev. A

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“…The role of the passive electrons of the target core is taken into account by an effective potential. For this purpose in the present work a model potential developed by Green et al [24] was used, which has the following form:…”

Section: A Three-body Ctmc Approachmentioning

confidence: 99%

Multiple ionization of rare gases by hydrogen-atom impact

et al. 2013

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Cross sections for the multiple ionization of He, Ne, Ar, and Kr by H 0 impact with and without the simultaneous ionization (electron loss) of the projectile are presented in the energy range 75-300 keV. The data were measured by coincident detection of the recoil target ions and the charge-state analyzed scattered projectiles. To obtain information about the role played by the electron of H 0 in the collision, the measurements were repeated with protons under the same experimental conditions. The measured data are analyzed using the classical trajectory Monte Carlo (CTMC) method. CTMC describes well the experimental data for both projectiles for single vacancy creation; however, increasing deviation is observed between theory and experiment with increasing number of created vacancies and with decreasing target atomic number.

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“…Results of Hatree-Fock method were taken from Ref [18]. Results of parametrized optimized effective potential method were Results of Hatree-Fock-Slater method were taken from Ref [18].…”

Section: The New Potentialmentioning

confidence: 99%

“…Analytical potentials, which depend only on one electronic coordinate, lead to homogeneous equations that are by construction not of the self-consistent-field type and, thus, need not be evaluated iteratively. In 1969 Green et al [18] presented a very successful analytical independent-particle model (IPM) potential with a simple analytical form. It has been widely used for the calculation of electron-atom and atom-ion scattering [19,20], electron impact excitation and ionization [21][22][23], oscillator strengths [21], antiproton-atomic collisions [24], and electron-capture processed [25,26].…”

Section: Introductionmentioning

confidence: 99%

New analytical independent-particle model potential for atoms

Yu¹,

Sun

2010

Open Physics

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Abstract:A new analytical, independent-particle model potential with four shell-independent parameters is proposed, which is suitable for high, medium, and low Z atoms. The four parameters are determined for 101 atoms from Li to Lr by fitting the results of the X method found in the literature. The average fitting error 0.675% of the new potential for the 101 atoms is far better than 3.92% of the widely used Green's potential. The radial Schrödinger equation with the new potential is solved by using Numerov's numerical method for 7 typical atoms: Ne, Ca, Zn, Zr, Sn, Yb, and Th. The energy eigenvalues, radial wave functions, and atomic ground-state energy are in good agreement with the results of the X method. The new potential here shows greater flexibility and better accuracy compared with the Green's potential. PACS (2008):31.15.B-. Keywords:atomic structure • independent-particle model • energy eigenvalues © Versita Sp. z o.o.

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Analytic Independent-Particle Model for Atoms

Cited by 444 publications

References 10 publications

Ionization of small molecules induced byH+, He+, and
Kovács
¹
,
Herczku
²
,
Juhász
³

et al. 2016
Phys. Rev. A

Ionization of small molecules induced byH+, He+, and
Kovács
¹
,
Herczku
²
,
Juhász
³

et al. 2016
Phys. Rev. A

Multiple ionization of rare gases by hydrogen-atom impact

New analytical independent-particle model potential for atoms

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Analytic Independent-Particle Model for Atoms

Cited by 444 publications

References 10 publications

Ionization of small molecules induced byH+, He+, andKovács1, Herczku2, Juhász3 et al. 2016Phys. Rev. A

Ionization of small molecules induced byH+, He+, andKovács1, Herczku2, Juhász3 et al. 2016Phys. Rev. A

Multiple ionization of rare gases by hydrogen-atom impact

New analytical independent-particle model potential for atoms

Contact Info

Product

Resources

About

Ionization of small molecules induced byH+, He+, and
Kovács
¹
,
Herczku
²
,
Juhász
³

et al. 2016
Phys. Rev. A

Ionization of small molecules induced byH+, He+, and
Kovács
¹
,
Herczku
²
,
Juhász
³

et al. 2016
Phys. Rev. A