Statistical and quantum photoionization cross sections in plasmas: Analytical approaches for any configurations including inner shells

Rosmej F. B.; Vainshtein L. A.; Astapenko V. A.; Lisitsa V. S.

doi:10.1063/5.0022751

Volume 5 Issue 6

Nov. 2020

Turn off MathJax

Article Contents

Article Navigation > Matter and Radiation at Extremes > 2020 > 5(6): 064202

Rosmej F. B., Vainshtein L. A., Astapenko V. A., Lisitsa V. S.. Statistical and quantum photoionization cross sections in plasmas: Analytical approaches for any configurations including inner shells[J]. Matter and Radiation at Extremes, 2020, 5(6): 064202. doi: 10.1063/5.0022751

Citation:

Rosmej F. B., Vainshtein L. A., Astapenko V. A., Lisitsa V. S.. Statistical and quantum photoionization cross sections in plasmas: Analytical approaches for any configurations including inner shells[J]. Matter and Radiation at Extremes, 2020, 5(6): 064202. doi: 10.1063/5.0022751

Citation:

Rosmej F. B., Vainshtein L. A., Astapenko V. A., Lisitsa V. S.. Statistical and quantum photoionization cross sections in plasmas: Analytical approaches for any configurations including inner shells[J]. Matter and Radiation at Extremes, 2020, 5(6): 064202. doi: 10.1063/5.0022751

PDF( 2631 KB)

Statistical and quantum photoionization cross sections in plasmas: Analytical approaches for any configurations including inner shells

doi: 10.1063/5.0022751

Rosmej F. B.^{1, 2, 3, 4
,
,
,},
Vainshtein L. A.⁵,
Astapenko V. A.^3
,,
Lisitsa V. S.^{3, 4, 6}

1.
Sorbonne University, Faculty of Science and Engineering, UMR 7605, case 128, 4 Place Jussieu, F-75252 Paris Cedex 05, France
2.
LULI, Ecole Polytechnique, CNRS-CEA, Physique Atomique dans les Plasmas Denses (PAPD), Route de Saclay, F-91128 Palaiseau Cedex, France
3.
Moscow Institute of Physics and Technology MIPT (National Research University), Dolgoprudnyi 141700, Russia
4.
National Research Nuclear University—MEPhI, Department of Plasma Physics, Moscow 115409, Russia
5.
P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow 119991, Russia
6.
National Research Center “Kurchatov Institute”, Moscow, Russia

More Information

Corresponding author: a)Author to whom correspondence should be addressed: frank.rosmej@sorbonne-universite.fr
Received Date: 2020-07-24
Accepted Date: 2020-09-24

Available Online: 2020-11-01

Publish Date: 2020-11-15

Abstract

Abstract

Statistical models combined with the local plasma frequency approach applied to the atomic electron density are employed to study the photoionization cross-section for complex atoms. It is demonstrated that the Thomas–Fermi atom provides surprisingly good overall agreement even for complex outer-shell configurations, where quantum mechanical approaches that include electron correlations are exceedingly difficult. Quantum mechanical photoionization calculations are studied with respect to energy and nl quantum number for hydrogen-like and non-hydrogen-like atoms and ions. A generalized scaled photoionization model (GSPM) based on the simultaneous introduction of effective charges for non-H-like energies and scaling charges for the reduced energy scale allows the development of analytical formulas for all states nl. Explicit expressions for nl = 1s, 2s, 2p, 3s, 3p, 3d, 4s, 4p, 4d, 4f, and 5s are obtained. Application to H-like and non-H-like atoms and ions and to neutral atoms demonstrates the universality of the scaled analytical approach including inner-shell photoionization. Likewise, GSPM describes the near-threshold behavior and high-energy asymptotes well. Finally, we discuss the various models and the correspondence principle along with experimental data and with respect to a good compromise between generality and precision. The results are also relevant to large-scale integrated light–matter interaction simulations, e.g., X-ray free-electron laser interactions with matter or photoionization driven by a broadband radiation field such as Planckian radiation.

FullText(HTML)

References(39)

References

[1]	F. F. Chen, Plasma Physics and Controlled Fusion, 2nd ed. (Plenum Press, 1984).
[2]	S. Ichimaru, Statistical Plasma Physics Vol. I: Basic Principles (Westview Press, 2004).
[3]	S. Ichimaru, Statistical Plasma Physics Vol. II: Condensed Plasmas (Westview Press, 2004).
[4]	A. Unsöld, Physik der Sternatmosphären (Springer, Berlin, 1955).
[5]	D. Mihalas, Stellar Atmospheres (W. H. Freeman and Company, 1970).
[6]	A. K. Pradhan and S. N. Nahar, Atomic Astrophysics and Spectroscopy (Cambridge University Press, Cambridge, 2011).
[7]	R. P. Drake, High-Energy-Density-Physics (Springer, 2006).
[8]	S. Atzeni and J. Meyer-ter-Vehn, The Physics of Inertial Fusion (Oxford Science Publications, 2004).
[9]	R. Geneaux, H. J. B. Marroux, A. Guggenmos et al., “Transient absorption spectroscopy using high harmonic generation: A review of ultrafast X-ray dynamics in molecules and solids,” Philos. Trans. R. Soc. A 377, 20170463 (2019).10.1098/rsta.2017.0463 doi: 10.1098/rsta.2017.0463
[10]
[11]
[12]
[13]	E. Galtier, F. B. Rosmej, D. Riley et al., “Decay of crystalline order and equilibration during solid-to-plasma transition induced by 20-fs microfocused 92 eV free electron laser pulses,” Phys. Rev. Lett. 106, 164801 (2011).10.1103/physrevlett.106.164801 doi: 10.1103/physrevlett.106.164801
[14]	F. B. Rosmej, “Exotic states of high density matter driven by intense XUV/X-ray free electron lasers,” in Free Electron Laser, edited by S. Varró (InTech, 2012), pp. 187–212, ISBN: 978-953-51-0279-3.
[15]	B. Deschaud, O. Peyrusse, and F. B. Rosmej, “Simulation of XFEL induced fluorescence spectra of hollow ions and studies of dense plasma effects,” Phys. Plasmas 27, 063303 (2020).10.1063/5.0011193 doi: 10.1063/5.0011193
[16]	F. B. Rosmej, V. A. Astapenko, and V. S. Lisitsa, Plasma Atomic Physics (Springer, 2021), ISBN 978-3-030-05966-8.
[17]	F. B. Rosmej, X-ray Free Electron Laser and Atomic Physics in Dense Plasmas, Springer Proceeding of the CAMNP-2019, edited by M. Mohan (Springer, 2020).
[18]	B. Deschaud, O. Peyrusse, and F. B. Rosmej, “Generalized atomic physics processes when intense femtosecond XUV- and X-ray radiation is interacting with solids,” Europhys. Lett. 108, 53001 (2014).10.1209/0295-5075/108/53001 doi: 10.1209/0295-5075/108/53001
[19]	M. Ya. Amusia, Atomic Photoeffect (Springer, 1990).
[20]	R. D. Cowan, The Theory of Atomic Structure and Spectra (University of California Press, 1981).
[21]	I. I. Sobelmann, Theory of Atomic Spectra (Alpha Science Int. Limited, 2006).
[22]	I. I. Sobelman, Introduction to the Theory of Atomic Spectra (Pergamon, Oxford, 1972).
[23]	W. Brandt and S. Lundqvist, “Atomic oscillations in the statistical approximation,” Phys. Rev. 139, A612 (1965).10.1103/physrev.139.a612 doi: 10.1103/physrev.139.a612
[24]	J. M. Rost, “Analytical total photo cross section for atoms,” J. Phys. B.: At., Mol. Opt. Phys. 28, L601 (1995).10.1088/0953-4075/28/19/002 doi: 10.1088/0953-4075/28/19/002
[25]	A. Sommefeld, Atombau und Spektrallinien: Band I und II (Harri Deutsch, Frankfurt, 1978).
[26]	V. I. Kogan, A. B. Kukushkin, and V. S. Lisitsa, “Kramers electrodynamics and electron-atomic radiative-collisional processes,” Phys. Rep. 213, 1–116 (1992).10.1016/0370-1573(92)90161-r doi: 10.1016/0370-1573(92)90161-r
[27]	V. P. Shevelko and L. A. Vainshtein, Atomic Physics for Hot Plasmas (IOP Publishing, Bristol, 1993).
[28]	L. A. Vainshtein and V. P. Shevelko, Program ATOM, Preprint No. 43 (Lebedev Physical Institute, Moscow, 1996).
[29]	X. Li and F. B. Rosmej, “Analytical approach to level delocalization and line shifts in finite temperature dense plasmas,” Phys. Lett. A 384, 126478 (2020).10.1016/j.physleta.2020.126478 doi: 10.1016/j.physleta.2020.126478
[30]	M. Yan, H. R. Sadeghpour, and A. Dalgarno, “Photoionization cross sections of He and H2,” Astrophys. J. 496, 1044 (1998).10.1086/305420 doi: 10.1086/305420
[31]	J. B. West and G. V. Marr, “The absolute photoionization cross sections of helium, neon, argon and krypton in the extreme vacuum ultraviolet region of the spectrum,” Proc. R. Soc. London A 349, 397 (1975).10.1098/rspa.1976.0081 doi: 10.1098/rspa.1976.0081
[32]	J. A. R. Samson and W. C. Stolte, “Precision measurements of the total photoionization cross-sections of He, Ne, Ar, Kr, and Xe,” J. Electron Spectrosc. Relat. Phenom. 123, 265 (2002).10.1016/S0368-2048(02)00026-9 doi: 10.1016/S0368-2048(02)00026-9
[33]	A. Daldgarno and H. R. Sadeghpour, “Double photoionization of atomic helium and its isoelectronic partners at x-ray energies,” Phys. Rev. A 46, R3591 (1992).10.1103/physreva.46.r3591 doi: 10.1103/physreva.46.r3591
[34]	R. C. Forrey, H. R. Sadeghpour, J. D. Baker et al., “Double photoionization of excited 1S and 3S states of the helium isoelectronic sequence,” Phys. Rev. A 51, 2112 (1995).10.1103/physreva.51.2112 doi: 10.1103/physreva.51.2112
[35]	M. Ya. Amusia, N. A. Cherepkov, L. V. Chernysheva et al., “Calculation of the photo-ionization cross section for argon in the Hartree-Fock approximation,” Sov. Phys. JETP 29, 1018 (1969), available at http://www.jetp.ac.ru/cgi-bin/e/index/e/29/6/p1018?a=list.
[36]	A. C. Thomson, J. Kirz, D. T. Attwood et al., X-Ray Data Booklet, 3rd ed. (Center for X-Ray Optics and Advanced Light Source, 2009), http://xdb.lbl.gov.
[37]	A. Sommerfeld, “Asymptotische integration der differentialgleichung des Thomas Fermischen atoms,” Z. Phys. 78, 283 (1932).10.1007/bf01342197 doi: 10.1007/bf01342197
[38]	W. H. Press, S. A. Teukolsky, W. T. Vetterling et al., Numerical Recipes, 3rd ed. (Cambridge University Press, Cambridge, 2007).
[39]	M. Dozières, F. Thaïs, S. Bastiani-Ceccotti et al., “Simultaneous X-ray and XUV absorption measurements in laser produced plasma close to LTE,” High Energy Density Phys. 31, 83 (2019).10.1016/j.hedp.2019.03.007 doi: 10.1016/j.hedp.2019.03.007