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Title: Empirical formulas for direct double ionization by bare ions: Z = - 1 to 92

Abstract

Experimental cross sections and cross-section ratios reported in the literature for direct double ionization of the outer shells of helium, neon, and argon atoms resulting from bare ions ranging from protons to uranium and for antiprotons are analyzed in terms of a first- and second-order interference model originally proposed by McGuire [J. H. McGuire, Phys. Rev. Lett. 49, 1153 (1982)]. Empirical formulas for the various contributions to double ionization plus information about the phase difference between the first- and second-order mechanisms are extracted from the data. Projectile and target scalings are also extracted. Total cross sections and their ratios determined using these formulas and scalings are shown to be in very good agreement with experimental data for lower-Z projectiles and impact velocities larger than 1 a.u. For very-high-Z projectiles, the amount of double ionization is overestimated, probably due to saturation of probabilities that is not accounted for in scaling formulas.

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1179669
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review A - Atomic, Molecular, and Optical Physics
Additional Journal Information:
Journal Name: Physical Review A - Atomic, Molecular, and Optical Physics Journal Volume: 90 Journal Issue: 5; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

DuBois, R. D., Santos, A. C. F., and Manson, S. T. Empirical formulas for direct double ionization by bare ions: Z = - 1 to 92. United States: N. p., 2014. Web. doi:10.1103/PhysRevA.90.052721.
DuBois, R. D., Santos, A. C. F., & Manson, S. T. Empirical formulas for direct double ionization by bare ions: Z = - 1 to 92. United States. https://doi.org/10.1103/PhysRevA.90.052721
DuBois, R. D., Santos, A. C. F., and Manson, S. T. 2014. "Empirical formulas for direct double ionization by bare ions: Z = - 1 to 92". United States. https://doi.org/10.1103/PhysRevA.90.052721.
@article{osti_1179669,
title = {Empirical formulas for direct double ionization by bare ions: Z = - 1 to 92},
author = {DuBois, R. D. and Santos, A. C. F. and Manson, S. T.},
abstractNote = {Experimental cross sections and cross-section ratios reported in the literature for direct double ionization of the outer shells of helium, neon, and argon atoms resulting from bare ions ranging from protons to uranium and for antiprotons are analyzed in terms of a first- and second-order interference model originally proposed by McGuire [J. H. McGuire, Phys. Rev. Lett. 49, 1153 (1982)]. Empirical formulas for the various contributions to double ionization plus information about the phase difference between the first- and second-order mechanisms are extracted from the data. Projectile and target scalings are also extracted. Total cross sections and their ratios determined using these formulas and scalings are shown to be in very good agreement with experimental data for lower-Z projectiles and impact velocities larger than 1 a.u. For very-high-Z projectiles, the amount of double ionization is overestimated, probably due to saturation of probabilities that is not accounted for in scaling formulas.},
doi = {10.1103/PhysRevA.90.052721},
url = {https://www.osti.gov/biblio/1179669}, journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
issn = {1050-2947},
number = 5,
volume = 90,
place = {United States},
year = {Tue Nov 25 00:00:00 EST 2014},
month = {Tue Nov 25 00:00:00 EST 2014}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at https://doi.org/10.1103/PhysRevA.90.052721

Citation Metrics:
Cited by: 6 works
Citation information provided by
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Works referenced in this record:

Electron capture and ionisation in collisions of slow H + and He 2+ ions with helium
journal, October 1989


High-charge-state limit for the double-to-single ionization ratio of helium in the strong-coupling regime
journal, February 2011


Double ionization of helium by slow antiprotons
journal, December 1996


Multiple ionization of noble gases by fully stripped ions
journal, October 1982


Ionization of atoms and molecules by antiproton impact
journal, January 1997


Cross sections for ionization of gases by 5-4000-keV protons and for electron capture by 5-150-keV protons
journal, December 1983


Single and double ionisation of helium by H + , He 2+ and Li 3+ ions
journal, March 1985


Ionization and charge transfer in He 2 + –rare-gas collisions
journal, March 1986


Projectile and target scaling of the total ionization cross sections of atoms and molecules
journal, January 2013


The forced impulse method applied to the double ionisation of helium by collision with high-energy protons, antiprotons and alpha particles
journal, August 1987


Ionization of helium by fast, multiply charged ions. Deviations from a q 2 scaling
journal, October 1982


Ionization of Helium and Argon by Very Slow Antiproton Impact
journal, July 2008


Absolute cross sections for helium single and double ionization in collisions with fast, highly charged projectiles
journal, September 1992


Production of multiply charged rare-gas ions by relativistic electrons
journal, June 1983


On the double ionization of helium by very slow antiproton impact
journal, January 2009

  • Knudsen, H.; Kristiansen, H. -P. E.; Thomsen, H. D.
  • Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 267, Issue 2
  • https://doi.org/10.1016/j.nimb.2008.10.070

Impact-parameter dependence of helium atom double ionisation by high-energy protons and antiprotons
journal, August 1990


Double Ionization of Helium by Protons and Electrons at High Velocities
journal, October 1982


Multiple ionization of rare gases by H + and He + impact
journal, January 1984


Time ordering in atomic collisions
journal, April 1997


Double and transfer ioinization in collisions of He with bare ions
journal, August 2012


Modelling of polarization and correlation effects in the ionization of helium by antiprotons
journal, February 2002


Electron capture and target ionization in collisions of bare projectile ions incident on helium
journal, March 1992


First Born calculations of double ionisation of helium by bare-ion projectiles: contributions from d orbitals
journal, November 1988


Multiple ionization of atoms including post-collisional contributions
journal, November 2012


The double ionization of helium by ion impact
journal, March 1997


Double ionization of helium by protons and antiprotons in the energy range 0.30 to 40 MeV
journal, February 1987


Double and single ionization of helium by high velocity N 7 + ions
journal, February 1990


Single ionization of helium by 40–3000-keV antiprotons
journal, June 1990


Consistency test of double ionization of helium by photons and charged particles
journal, July 1996


Target ionization and projectile charge changing in 0.5 8 MeV / q Li q + + He ( q = 1 , 2 , 3 ) collisions
journal, April 1998


Multi-ionization of helium by slow highly charged ions
journal, April 2008


High-velocity limit for the ratio of helium double-to-single ionization for highly charged, bare-ion impact
journal, September 1993


Double ionization of helium by high-velocity U 9 0 + ions
journal, November 1992


Multiple ionization of rare gases target atoms by 27MeV/amu Xe 52 + and 35 MeV/amu Kr 36 + ions
journal, October 1989


Single, double and triple ionization of Ne, Ar, Kr and Xe by 30 - 1000 keV impact
journal, September 1997


Electron production in proton collisions with atoms and molecules: energy distributions
journal, April 1992


An experimental investigation of double ionisation of helium atoms in collisions with fast, fully stripped ions
journal, September 1984