The calculation of photoionization cross-section of negative hydrogen ions in the Born approximation

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dc.citation.epage139
dc.citation.issue1
dc.citation.spage125
dc.contributor.affiliationЛьвiвський нацiональний унiверситет iменi Iвана Франка
dc.contributor.affiliationIнститут фiзики конденсованих систем НАН України
dc.contributor.affiliationIvan Franko National University of Lviv
dc.contributor.affiliationInstitute for Condensed Matter Physics of the National Academy of Sciences of Ukraine
dc.contributor.authorВаврух, М. В.
dc.contributor.authorДзіковський, Д. В.
dc.contributor.authorСтельмах, О. М.
dc.contributor.authorСолов’ян, В. Б.
dc.contributor.authorVavrukh, M. V.
dc.contributor.authorDzikovskyi, D. V.
dc.contributor.authorStelmakh, O. M.
dc.contributor.authorSolovyan, V. B.
dc.date.accessioned2023-03-06T12:28:15Z
dc.date.available2023-03-06T12:28:15Z
dc.date.created2020-01-01
dc.date.issued2020-01-01
dc.description.abstractПоказано, що двоелектронна хвильова функцiя системи “атом водню + фотоелектрон” у борнiвському наближеннi забезпечує високу точнiсть розрахунку поперечного перерiзу процесу фотоiонiзацiї негативного iона водню. Розраховано частковi поперечнi перерiзи, що вiдповiдають рiзним “ns-каналам реакцiї” у шкалi енергiй фотоелектрона i шкалi довжин хвиль. Виконано порiвняння з результатами iнших авторiв, одержаних iншими методами.
dc.description.abstractIt is shown that the two-electron wave function of the system “hydrogen atom + photoelectron” in the Born approximation provides high accuracy of the photoionization process cross-section calculation of negative hydrogen ion. The partial cross-sections, which correspond to different “reaction ns-channels” in the scale of photoelectron energy and the scale of wavelengths are calculated. The comparisons with the results of other authors which obtained by other methods are performed.
dc.format.extent125-139
dc.format.pages15
dc.identifier.citationThe calculation of photoionization cross-section of negative hydrogen ions in the Born approximation / Vavrukh M. V., Dzikovskyi D. V., Stelmakh O. M., Solovyan V. B. // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2020. — Vol 7. — No 1. — P. 125–139.
dc.identifier.citationenVavrukh M. V., Dzikovskyi D. V., Stelmakh O. M., Solovyan V. B. (2020) The calculation of photoionization cross-section of negative hydrogen ions in the Born approximation. Mathematical Modeling and Computing (Lviv), vol. 7, no 1, pp. 125-139.
dc.identifier.doiDOI: 10.23939/mmc2020.01.125
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/57507
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 1 (7), 2020
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dc.relation.references[2] Wildt R. The continuous spectrum of Stellar atmoospheres consisting only of atoms and negative ions of hydrogen. Astrophysical Journal. 93, 47–51 (1941).
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dc.relation.references[7] Vavrukh M. V., Vasil’eva I. E., Stelmakh O. M., Tyshko N. L. Continuous Absorption and Depression in the Solar Spectrum at Wavelengths from 650 to 820 nm. Kinemat. Phys. Celest. Bodies. 32 (3), 129–144(2016).
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dc.relation.references[9] Burlov-Vasil’ev K. A., Vasil’eva I. E., Matveev Yu. B. New measurments of the absolute spectral energy distribution of Solar radiations in the range λλ 650 – 1070 nm. Kinematics and Physics of Celestial Bodies.12 (3), 75–91 (1996).
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dc.relation.references[11] Broad J. T. One- and two-electron photoejection from H−: A multichannel J-matrix calculation. Phys. Rev. A. 14 (6), 2159–2173 (1976).
dc.relation.references[12] Vavrukh M. V., Stelmakh O. M. The cross-sections of the main processes that forms the continuous absorption coefficient in the photosphere of Sun-like stars. Journal of Physical Studies. 17 (4), 4902 (2013).
dc.relation.references[13] Stewart A. L. A perturbation-variation study of photodetachment from H−. J. Phys. B: Atom. Molec. Phys. 11 (22), 3851–3860 (1978).
dc.relation.references[14] Wishart A.W. The bound-free photodetachment cross-section of H−. J. Phys. B: Atom. Molec. Phys. 12(21), 3511–3519 (1979).
dc.relation.references[15] Tweed R. J. Correlated wavefunctions for helium-like atomic systems. J. Phys. B. 5 (4), 810–819 (1972).
dc.relation.references[16] Hart J. F., Herzberg G. Twenty-Parameter Eigenfunction and Energy Values of the Ground States of the He and He-Like ions. Phys. Rev. 106 (1), 79–82 (1957).
dc.relation.references[17] Pekeris C. L. 11S, 21S and 23S States of H− and of He. Phys. Rev. 126 (4), 1470–1476 (1962).
dc.relation.references[18] Vavrukh M. V., Kostrobij P. P., Markovych B. M. Reference system approach in the theory of many-electrons systems. Rastr-7, Lviv (2017), (in Ukrainian).
dc.relation.references[19] Abramowitz M., Stegun I. A. Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables. Government Printing Office: Washington (1972).
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dc.relation.referencesen[2] Wildt R. The continuous spectrum of Stellar atmoospheres consisting only of atoms and negative ions of hydrogen. Astrophysical Journal. 93, 47–51 (1941).
dc.relation.referencesen[3] Chandrasekhar S. On the continuous absorption coefficient of the negative hydrogen ion. II. Astrophysical Journal. 102, 395–401 (1945).
dc.relation.referencesen[4] Chandrasekhar S., Breen F. H. On the continuous absorption coefficient of the negative hydrogen ion. III. Astrophysical Journal. 104, 430–445 (1946).
dc.relation.referencesen[5] John T. L., Seaton M. J. The photodetachment of H−. Monthly Notices of the Royal Astronomical Society.121 (1), 41–47 (1960).
dc.relation.referencesen[6] Smith S. J., Burch D. S. Relative Measurement of the Photodetachment cross-section for H−. Phys. Rev.116 (5) 1125–1131 (1959).
dc.relation.referencesen[7] Vavrukh M. V., Vasil’eva I. E., Stelmakh O. M., Tyshko N. L. Continuous Absorption and Depression in the Solar Spectrum at Wavelengths from 650 to 820 nm. Kinemat. Phys. Celest. Bodies. 32 (3), 129–144(2016).
dc.relation.referencesen[8] Neckel H., Labs D. The solar radiation between 3300 and 12500 ˚A. Solar Physics. 90 (2), 205–258 (1984).
dc.relation.referencesen[9] Burlov-Vasil’ev K. A., Vasil’eva I. E., Matveev Yu. B. New measurments of the absolute spectral energy distribution of Solar radiations in the range ll 650 – 1070 nm. Kinematics and Physics of Celestial Bodies.12 (3), 75–91 (1996).
dc.relation.referencesen[10] Geltman S. The bound-free absorption coefficient of the hydrogen negative ion. Astrophysical Journal.136 (3), 935–945 (1962).
dc.relation.referencesen[11] Broad J. T. One- and two-electron photoejection from H−: A multichannel J-matrix calculation. Phys. Rev. A. 14 (6), 2159–2173 (1976).
dc.relation.referencesen[12] Vavrukh M. V., Stelmakh O. M. The cross-sections of the main processes that forms the continuous absorption coefficient in the photosphere of Sun-like stars. Journal of Physical Studies. 17 (4), 4902 (2013).
dc.relation.referencesen[13] Stewart A. L. A perturbation-variation study of photodetachment from H−. J. Phys. B: Atom. Molec. Phys. 11 (22), 3851–3860 (1978).
dc.relation.referencesen[14] Wishart A.W. The bound-free photodetachment cross-section of H−. J. Phys. B: Atom. Molec. Phys. 12(21), 3511–3519 (1979).
dc.relation.referencesen[15] Tweed R. J. Correlated wavefunctions for helium-like atomic systems. J. Phys. B. 5 (4), 810–819 (1972).
dc.relation.referencesen[16] Hart J. F., Herzberg G. Twenty-Parameter Eigenfunction and Energy Values of the Ground States of the He and He-Like ions. Phys. Rev. 106 (1), 79–82 (1957).
dc.relation.referencesen[17] Pekeris C. L. 11S, 21S and 23S States of H− and of He. Phys. Rev. 126 (4), 1470–1476 (1962).
dc.relation.referencesen[18] Vavrukh M. V., Kostrobij P. P., Markovych B. M. Reference system approach in the theory of many-electrons systems. Rastr-7, Lviv (2017), (in Ukrainian).
dc.relation.referencesen[19] Abramowitz M., Stegun I. A. Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables. Government Printing Office: Washington (1972).
dc.rights.holder©2020 Lviv Polytechnic National University CMM IAPMM NASU
dc.subjectдвоелектронна хвильова функцiя
dc.subjectборнiвське наближення
dc.subjectнегативний iон водню
dc.subjectпоперечний перерiз фотоiонiзацiї
dc.subjecttwo-electron wave function
dc.subjectBorn approximation
dc.subjectnegative hydrogen ion
dc.subjectphotoionization cross-section
dc.subject.udc85-08
dc.titleThe calculation of photoionization cross-section of negative hydrogen ions in the Born approximation
dc.title.alternativeРозрахунок поперечного перерізу фотоіонізації від’ємних іонів водню у борнівському наближенні
dc.typeArticle

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Mathematical Modeling And Computing. – 2020. – Vol. 7, No. 1