Fully differential cross sections for the single ionization of helium by fast ions: Classical model calculations

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Fully differential cross sections (FDCSs) have been calculated for the single ionization of helium by 1-and 3-MeV proton and 100-MeV/u C6+ ion impact using the classical trajectory Monte Carlo (CTMC) method in the nonrelativistic, three-body approximation. The calculations were made employing a Wigner-Type model in which the quantum-mechanical position distribution of the electron is approximated by a weighted integral of the microcanonical distribution over a range of the binding energy of the electron. In the scattering plane, the model satisfactorily reproduces the observed shape of the binary peak. In the region of the peak the calculated FDCSs agree well with the results of continuum-distorted-wave calculations for all the investigated collisions. For 1-MeV proton impact the experimentally observed shift of the binary peak with respect to the first Born approximation is compared with the shifts obtained by different higher-order quantum-mechanical theories and the present CTMC method. The best result was achieved by CTMC, but still a large part of the shift remained unexplained. Furthermore, it was found that the classical theory failed to reproduce the shape of the recoil peak observed in the experiments, it predicts a much narrower peak. This indicates that the formation of the recoil peak is dominated by quantum-mechanical effects. For 100-MeV/u C6+ ion impact the present CTMC calculations confirmed the existence of the "double-peak" structure of the angular distribution of the electron in the plane perpendicular to the momentum transfer, in accordance with the observation, the prediction of an incoherent semiclassical model, and previous CTMC results. This finding together with wave-packet calculations suggests that the "C6+ puzzle" may be solved by considering the loss of the projectile coherence. Experiments to be conducted using ion beams of anisotropic coherence are proposed for a more differential investigation of the ionization dynamics.

Original languageEnglish
Article number042703
JournalPhysical Review A
Volume97
Issue number4
DOIs
Publication statusPublished - Apr 16 2018

Fingerprint

helium
ionization
cross sections
trajectories
ions
ion impact
Monte Carlo method
shift
proton impact
electrons
Born approximation
wave packets
momentum transfer
projectiles
angular distribution
binding energy
ion beams
continuums
collisions
protons

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Fully differential cross sections for the single ionization of helium by fast ions : Classical model calculations. / Sarkadi, L.

In: Physical Review A, Vol. 97, No. 4, 042703, 16.04.2018.

Research output: Contribution to journalArticle

@article{e6acec9a56a3460fa885c1d84f5bca4a,
title = "Fully differential cross sections for the single ionization of helium by fast ions: Classical model calculations",
abstract = "Fully differential cross sections (FDCSs) have been calculated for the single ionization of helium by 1-and 3-MeV proton and 100-MeV/u C6+ ion impact using the classical trajectory Monte Carlo (CTMC) method in the nonrelativistic, three-body approximation. The calculations were made employing a Wigner-Type model in which the quantum-mechanical position distribution of the electron is approximated by a weighted integral of the microcanonical distribution over a range of the binding energy of the electron. In the scattering plane, the model satisfactorily reproduces the observed shape of the binary peak. In the region of the peak the calculated FDCSs agree well with the results of continuum-distorted-wave calculations for all the investigated collisions. For 1-MeV proton impact the experimentally observed shift of the binary peak with respect to the first Born approximation is compared with the shifts obtained by different higher-order quantum-mechanical theories and the present CTMC method. The best result was achieved by CTMC, but still a large part of the shift remained unexplained. Furthermore, it was found that the classical theory failed to reproduce the shape of the recoil peak observed in the experiments, it predicts a much narrower peak. This indicates that the formation of the recoil peak is dominated by quantum-mechanical effects. For 100-MeV/u C6+ ion impact the present CTMC calculations confirmed the existence of the {"}double-peak{"} structure of the angular distribution of the electron in the plane perpendicular to the momentum transfer, in accordance with the observation, the prediction of an incoherent semiclassical model, and previous CTMC results. This finding together with wave-packet calculations suggests that the {"}C6+ puzzle{"} may be solved by considering the loss of the projectile coherence. Experiments to be conducted using ion beams of anisotropic coherence are proposed for a more differential investigation of the ionization dynamics.",
author = "L. Sarkadi",
year = "2018",
month = "4",
day = "16",
doi = "10.1103/PhysRevA.97.042703",
language = "English",
volume = "97",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Fully differential cross sections for the single ionization of helium by fast ions

T2 - Classical model calculations

AU - Sarkadi, L.

PY - 2018/4/16

Y1 - 2018/4/16

N2 - Fully differential cross sections (FDCSs) have been calculated for the single ionization of helium by 1-and 3-MeV proton and 100-MeV/u C6+ ion impact using the classical trajectory Monte Carlo (CTMC) method in the nonrelativistic, three-body approximation. The calculations were made employing a Wigner-Type model in which the quantum-mechanical position distribution of the electron is approximated by a weighted integral of the microcanonical distribution over a range of the binding energy of the electron. In the scattering plane, the model satisfactorily reproduces the observed shape of the binary peak. In the region of the peak the calculated FDCSs agree well with the results of continuum-distorted-wave calculations for all the investigated collisions. For 1-MeV proton impact the experimentally observed shift of the binary peak with respect to the first Born approximation is compared with the shifts obtained by different higher-order quantum-mechanical theories and the present CTMC method. The best result was achieved by CTMC, but still a large part of the shift remained unexplained. Furthermore, it was found that the classical theory failed to reproduce the shape of the recoil peak observed in the experiments, it predicts a much narrower peak. This indicates that the formation of the recoil peak is dominated by quantum-mechanical effects. For 100-MeV/u C6+ ion impact the present CTMC calculations confirmed the existence of the "double-peak" structure of the angular distribution of the electron in the plane perpendicular to the momentum transfer, in accordance with the observation, the prediction of an incoherent semiclassical model, and previous CTMC results. This finding together with wave-packet calculations suggests that the "C6+ puzzle" may be solved by considering the loss of the projectile coherence. Experiments to be conducted using ion beams of anisotropic coherence are proposed for a more differential investigation of the ionization dynamics.

AB - Fully differential cross sections (FDCSs) have been calculated for the single ionization of helium by 1-and 3-MeV proton and 100-MeV/u C6+ ion impact using the classical trajectory Monte Carlo (CTMC) method in the nonrelativistic, three-body approximation. The calculations were made employing a Wigner-Type model in which the quantum-mechanical position distribution of the electron is approximated by a weighted integral of the microcanonical distribution over a range of the binding energy of the electron. In the scattering plane, the model satisfactorily reproduces the observed shape of the binary peak. In the region of the peak the calculated FDCSs agree well with the results of continuum-distorted-wave calculations for all the investigated collisions. For 1-MeV proton impact the experimentally observed shift of the binary peak with respect to the first Born approximation is compared with the shifts obtained by different higher-order quantum-mechanical theories and the present CTMC method. The best result was achieved by CTMC, but still a large part of the shift remained unexplained. Furthermore, it was found that the classical theory failed to reproduce the shape of the recoil peak observed in the experiments, it predicts a much narrower peak. This indicates that the formation of the recoil peak is dominated by quantum-mechanical effects. For 100-MeV/u C6+ ion impact the present CTMC calculations confirmed the existence of the "double-peak" structure of the angular distribution of the electron in the plane perpendicular to the momentum transfer, in accordance with the observation, the prediction of an incoherent semiclassical model, and previous CTMC results. This finding together with wave-packet calculations suggests that the "C6+ puzzle" may be solved by considering the loss of the projectile coherence. Experiments to be conducted using ion beams of anisotropic coherence are proposed for a more differential investigation of the ionization dynamics.

UR - http://www.scopus.com/inward/record.url?scp=85045647190&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045647190&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.97.042703

DO - 10.1103/PhysRevA.97.042703

M3 - Article

AN - SCOPUS:85045647190

VL - 97

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 4

M1 - 042703

ER -