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Title: Semi-empirical scaling for ion–atom single charge exchange cross sections in the intermediate velocity regime

Journal Article · · Journal of Physics. B, Atomic, Molecular and Optical Physics
 [1];  [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Pennsylvania State Univ., University Park, PA (United States)
+ Show Author Affiliations

We present a semi-empirical scaling law for non-resonant ion–atom single charge exchange cross sections for collisions with velocities from $${10}^{7}\,{\rm{t}}{\rm{o}}\,{10}^{9}\,\mathrm{cm}\,{{\rm{s}}}^{-1}$$ and ions with positive charge $$q\lt 8$$. Non-resonant cross sections tend to have a velocity peak at collision velocities $$v\lesssim 1\ {\rm{a}}{\rm{u}}$$ with exponential decay around this peak. We construct a scaling formula for the location of this peak then choose a functional form for the cross section curve and scale it. The velocity at which the cross section peaks, v m, is proportional to the energy defect of the collision, $${\rm{\Delta }}E$$, which we predict with the decay approximation. The value of the cross section maximum is proportional to the charge state q, inversely proportional to the target ionization energy I T, and inversely proportional to v m. For the shape of the cross section curve, we use a function that decays exponentially asymptotically at high and low velocities. We scale this function with parameters $${v}_{{\rm{m}}},{I}_{{\rm{T}}},{Z}_{{\rm{T}}},\mathrm{and}\ {Z}_{{\rm{P}}}$$, where the $${Z}_{{\rm{T}},{\rm{P}}}$$ are the target and projectile atomic numbers. In conclusion, for the more than 100 cross section curves that we use to find the scaling rules, the scaling law predicts cross sections within a little over a factor of 2 on average.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1358311
Report Number(s):
LLNL-JRNL-703463-DRAFT
Journal Information:
Journal of Physics. B, Atomic, Molecular and Optical Physics, Vol. 50, Issue 11; ISSN 0953-4075
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

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Cited By (2)

A gas cell apparatus for measuring charge exchange cross sections with multicharged ions journal July 2018
Charge Exchange Cross Sections for Noble Gas Ions and N2 between 0.2 and 5.0 keV journal October 2019

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Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
scaling law
charge exchange
electron capture
charge transfer
energy defect
cross section
collision