### 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 2s^{2}2p^{4}[^{3}P, ^{1}D, ^{1}S], 2s^{1}2p^{5}[^{3}P, ^{1}P] and 2s^{0}2p^{6}[^{1}S] 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 |
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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 | |

Publication status | Published - 28 Oct 2001 |

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### ASJC Scopus subject areas

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

### Cite this

^{(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.

Research output: Contribution to journal › Article

^{(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

^{(N-q)}hartree-fock potential for the calculation of double photoionization cross sections of neon. Journal of Physics B: Atomic, Molecular and Optical Physics. 2001 Oct 28;34(20):3993-4001. https://doi.org/10.1088/0953-4075/34/20/310

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TY - JOUR

T1 - Test of a q-fractional V(N-q) hartree-fock potential for the calculation of double photoionization cross sections of neon

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.

UR - http://www.scopus.com/inward/record.url?scp=0035965459&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035965459&partnerID=8YFLogxK

U2 - 10.1088/0953-4075/34/20/310

DO - 10.1088/0953-4075/34/20/310

M3 - Article

VL - 34

SP - 3993

EP - 4001

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

IS - 20

ER -