Polarization effect in stopping of swift partially screened heavy ions

Perturbative theory

Andreas Schinner, Peter Sigmund

Publikation: Bidrag til tidsskriftKonferenceartikelForskningpeer review

Resumé

We report a calculation of the polarization correction - also called Barkas or Z1 3 effect - to the electronic energy loss of screened heavy ions above the Bohr velocity. For distant collisions we extend the classical calculation of Ashley et al. to a screened projectile, while for close collisions we make use of an argument by Lindhard. The variation of energy loss with impact parameter is illustrated for Li on C for different charge fractions and projectile velocities v. Stopping numbers are shown at fixed charge fraction as a function of velocity, and for a velocity-dependent equilibrium charge. The polarization correction is found to be sizable over most of the velocity range covered by Bohr theory (the classical regime), but for the three ions for which results are reported, Li, C and Ar, very similar curves are found when stopping numbers are plotted against the Bohr parameter mv3/Z1e2ω, where ω is a characteristic resonance frequency of the target. The polarization correction is similar in magnitude to the leading term over a wide velocity range below mv3/Z1e2ω≈3. Therefore the perturbative approach presented here, which includes only one order beyond the leading term, cannot be expected to deliver very accurate results. This work will therefore be followed up by a nonperturbative evaluation of the stopping cross-section.

OriginalsprogEngelsk
TidsskriftNuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms
Vol/bind164-165
Sider (fra-til)220-229
ISSN0168-583X
DOI
StatusUdgivet - 2000
BegivenhedICACS-18: 18th International Conference on Atomic Collisions in Solids - Odense, Denmark
Varighed: 3. aug. 19998. aug. 1999

Konference

KonferenceICACS-18: 18th International Conference on Atomic Collisions in Solids
ByOdense, Denmark
Periode03/08/199908/08/1999
SponsorCarlsbergs mindelegat for Brygger J.C.Jacobson, CRAC, Danfysik A/S, Elsevier Science Publishers, et al.

Fingeraftryk

Heavy ions
stopping
heavy ions
Polarization
polarization
Projectiles
projectiles
Energy dissipation
Bohr theory
energy dissipation
collisions
evaluation
cross sections
Ions
curves
electronics
ions

Citer dette

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abstract = "We report a calculation of the polarization correction - also called Barkas or Z1 3 effect - to the electronic energy loss of screened heavy ions above the Bohr velocity. For distant collisions we extend the classical calculation of Ashley et al. to a screened projectile, while for close collisions we make use of an argument by Lindhard. The variation of energy loss with impact parameter is illustrated for Li on C for different charge fractions and projectile velocities v. Stopping numbers are shown at fixed charge fraction as a function of velocity, and for a velocity-dependent equilibrium charge. The polarization correction is found to be sizable over most of the velocity range covered by Bohr theory (the classical regime), but for the three ions for which results are reported, Li, C and Ar, very similar curves are found when stopping numbers are plotted against the Bohr parameter mv3/Z1e2ω, where ω is a characteristic resonance frequency of the target. The polarization correction is similar in magnitude to the leading term over a wide velocity range below mv3/Z1e2ω≈3. Therefore the perturbative approach presented here, which includes only one order beyond the leading term, cannot be expected to deliver very accurate results. This work will therefore be followed up by a nonperturbative evaluation of the stopping cross-section.",
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Polarization effect in stopping of swift partially screened heavy ions : Perturbative theory. / Schinner, Andreas; Sigmund, Peter.

I: Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms, Bind 164-165, 2000, s. 220-229.

Publikation: Bidrag til tidsskriftKonferenceartikelForskningpeer review

TY - GEN

T1 - Polarization effect in stopping of swift partially screened heavy ions

T2 - Perturbative theory

AU - Schinner, Andreas

AU - Sigmund, Peter

PY - 2000

Y1 - 2000

N2 - We report a calculation of the polarization correction - also called Barkas or Z1 3 effect - to the electronic energy loss of screened heavy ions above the Bohr velocity. For distant collisions we extend the classical calculation of Ashley et al. to a screened projectile, while for close collisions we make use of an argument by Lindhard. The variation of energy loss with impact parameter is illustrated for Li on C for different charge fractions and projectile velocities v. Stopping numbers are shown at fixed charge fraction as a function of velocity, and for a velocity-dependent equilibrium charge. The polarization correction is found to be sizable over most of the velocity range covered by Bohr theory (the classical regime), but for the three ions for which results are reported, Li, C and Ar, very similar curves are found when stopping numbers are plotted against the Bohr parameter mv3/Z1e2ω, where ω is a characteristic resonance frequency of the target. The polarization correction is similar in magnitude to the leading term over a wide velocity range below mv3/Z1e2ω≈3. Therefore the perturbative approach presented here, which includes only one order beyond the leading term, cannot be expected to deliver very accurate results. This work will therefore be followed up by a nonperturbative evaluation of the stopping cross-section.

AB - We report a calculation of the polarization correction - also called Barkas or Z1 3 effect - to the electronic energy loss of screened heavy ions above the Bohr velocity. For distant collisions we extend the classical calculation of Ashley et al. to a screened projectile, while for close collisions we make use of an argument by Lindhard. The variation of energy loss with impact parameter is illustrated for Li on C for different charge fractions and projectile velocities v. Stopping numbers are shown at fixed charge fraction as a function of velocity, and for a velocity-dependent equilibrium charge. The polarization correction is found to be sizable over most of the velocity range covered by Bohr theory (the classical regime), but for the three ions for which results are reported, Li, C and Ar, very similar curves are found when stopping numbers are plotted against the Bohr parameter mv3/Z1e2ω, where ω is a characteristic resonance frequency of the target. The polarization correction is similar in magnitude to the leading term over a wide velocity range below mv3/Z1e2ω≈3. Therefore the perturbative approach presented here, which includes only one order beyond the leading term, cannot be expected to deliver very accurate results. This work will therefore be followed up by a nonperturbative evaluation of the stopping cross-section.

U2 - 10.1016/S0168-583X(99)01181-7

DO - 10.1016/S0168-583X(99)01181-7

M3 - Conference article

VL - 164-165

SP - 220

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JO - Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

JF - Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

SN - 0168-583X

ER -