Test of a q-fractional V<sup>(N-q)</sup> hartree-fock potential for the calculation of double photoionization cross sections of neon

Abstract

The approach of a parametric V^(N-q) Hartree-Fock potential with fractional q is developed and applied for the first time for the calculation of the double photoionization cross sections of Ne. A minimum of the squared difference between the length-form and velocity-form cross sections is used as a criterion for calculating the values of q. It is found that the minimization procedure leads to a practically exact equality of the length-form and velocity-form cross sections for the Ne III 2s²2p⁴[³P, ¹D, ¹S], 2s¹2p⁵[³P, ¹P] and 2s⁰2p⁶[¹S] states in the exciting-photon energy region from the double-ionization threshold up to 325 eV, if q is considered as a function of the exciting-photon energy. The calculated V^(N-q) cross sections are in better agreement with the experimental data than those for the V^(N-1) and V^(N-2) potentials.

Original language	English
Pages (from-to)	3993-4001
Number of pages	9
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Volume	34
Issue number	20
DOIs	https://doi.org/10.1088/0953-4075/34/20/310
Publication status	Published - 28 Oct 2001

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Physics and Astronomy(all)

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10.1088/0953-4075/34/20/310

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Kilin, V. A., Lazarev, D. A., Lazarev, D. A., Zelichenko, V. M., Amusia, M. Y., Schartner, K. H., Ehresmann, A., & Schmoranzer, H. (2001). Test of a q-fractional V^(N-q) hartree-fock potential for the calculation of double photoionization cross sections of neon. Journal of Physics B: Atomic, Molecular and Optical Physics, 34(20), 3993-4001. https://doi.org/10.1088/0953-4075/34/20/310

Test of a q-fractional V^(N-q) hartree-fock potential for the calculation of double photoionization cross sections of neon. / Kilin, V. A.; Lazarev, D. A.; Lazarev, Dm A.; Zelichenko, V. M.; Amusia, M. Ya; Schartner, K. H.; Ehresmann, A.; Schmoranzer, H.

In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 34, No. 20, 28.10.2001, p. 3993-4001.

Research output: Contribution to journal › Article › peer-review

Kilin, VA, Lazarev, DA, Lazarev, DA, Zelichenko, VM, Amusia, MY, Schartner, KH, Ehresmann, A & Schmoranzer, H 2001, 'Test of a q-fractional V^(N-q) hartree-fock potential for the calculation of double photoionization cross sections of neon', Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 34, no. 20, pp. 3993-4001. https://doi.org/10.1088/0953-4075/34/20/310

@article{1dfe57f4b81a4fc8bb6a6385720288c3,

title = "Test of a q-fractional V(N-q) hartree-fock potential for the calculation of double photoionization cross sections of neon",

abstract = "The approach of a parametric V(N-q) Hartree-Fock potential with fractional q is developed and applied for the first time for the calculation of the double photoionization cross sections of Ne. A minimum of the squared difference between the length-form and velocity-form cross sections is used as a criterion for calculating the values of q. It is found that the minimization procedure leads to a practically exact equality of the length-form and velocity-form cross sections for the Ne III 2s22p4[3P, 1D, 1S], 2s12p5[3P, 1P] and 2s02p6[1S] states in the exciting-photon energy region from the double-ionization threshold up to 325 eV, if q is considered as a function of the exciting-photon energy. The calculated V(N-q) cross sections are in better agreement with the experimental data than those for the V(N-1) and V(N-2) potentials.",

author = "Kilin, {V. A.} and Lazarev, {D. A.} and Lazarev, {Dm A.} and Zelichenko, {V. M.} and Amusia, {M. Ya} and Schartner, {K. H.} and A. Ehresmann and H. Schmoranzer",

year = "2001",

month = oct,

day = "28",

doi = "10.1088/0953-4075/34/20/310",

language = "English",

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pages = "3993--4001",

journal = "Journal of Physics B: Atomic, Molecular and Optical Physics",

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number = "20",

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AU - Kilin, V. A.

AU - Lazarev, D. A.

AU - Lazarev, Dm A.

AU - Zelichenko, V. M.

AU - Amusia, M. Ya

AU - Schartner, K. H.

AU - Ehresmann, A.

AU - Schmoranzer, H.

PY - 2001/10/28

Y1 - 2001/10/28

N2 - The approach of a parametric V(N-q) Hartree-Fock potential with fractional q is developed and applied for the first time for the calculation of the double photoionization cross sections of Ne. A minimum of the squared difference between the length-form and velocity-form cross sections is used as a criterion for calculating the values of q. It is found that the minimization procedure leads to a practically exact equality of the length-form and velocity-form cross sections for the Ne III 2s22p4[3P, 1D, 1S], 2s12p5[3P, 1P] and 2s02p6[1S] states in the exciting-photon energy region from the double-ionization threshold up to 325 eV, if q is considered as a function of the exciting-photon energy. The calculated V(N-q) cross sections are in better agreement with the experimental data than those for the V(N-1) and V(N-2) potentials.

AB - The approach of a parametric V(N-q) Hartree-Fock potential with fractional q is developed and applied for the first time for the calculation of the double photoionization cross sections of Ne. A minimum of the squared difference between the length-form and velocity-form cross sections is used as a criterion for calculating the values of q. It is found that the minimization procedure leads to a practically exact equality of the length-form and velocity-form cross sections for the Ne III 2s22p4[3P, 1D, 1S], 2s12p5[3P, 1P] and 2s02p6[1S] states in the exciting-photon energy region from the double-ionization threshold up to 325 eV, if q is considered as a function of the exciting-photon energy. The calculated V(N-q) cross sections are in better agreement with the experimental data than those for the V(N-1) and V(N-2) potentials.

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