Solving close-coupling equations in momentum space without singularities for charged targets

A. W. Bray; I. B. Abdurakhmanov; A. S. Kadyrov; D. V. Fursa; I. Bray

doi:10.1016/j.cpc.2016.10.008

Solving close-coupling equations in momentum space without singularities for charged targets

A. W. Bray^*, I. B. Abdurakhmanov, A. S. Kadyrov, D. V. Fursa, I. Bray

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

The analytical treatment of the Green's function in the convergent close-coupling method (Bray et al., 2016) has been extended to charged targets. Furthermore, we show that this approach allows for calculation of cross sections at zero channel energy. For neutral targets this means the electron scattering length may be obtained from a single calculation with zero incident energy. For charged targets the non-zero excitation cross sections at thresholds can also be calculated by simply setting the incident energy to the exact threshold value. These features are demonstrated by considering electron scattering on H and He⁺.

Original language	English
Pages (from-to)	55-58
Number of pages	4
Journal	Computer Physics Communications
Volume	212
DOIs	https://doi.org/10.1016/j.cpc.2016.10.008
Publication status	Published - 1 Mar 2017
Externally published	Yes

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10.1016/j.cpc.2016.10.008

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title = "Solving close-coupling equations in momentum space without singularities for charged targets",

abstract = "The analytical treatment of the Green's function in the convergent close-coupling method (Bray et al., 2016) has been extended to charged targets. Furthermore, we show that this approach allows for calculation of cross sections at zero channel energy. For neutral targets this means the electron scattering length may be obtained from a single calculation with zero incident energy. For charged targets the non-zero excitation cross sections at thresholds can also be calculated by simply setting the incident energy to the exact threshold value. These features are demonstrated by considering electron scattering on H and He+.",

keywords = "Electron–atom scattering, Electron–ion scattering",

author = "Bray, {A. W.} and Abdurakhmanov, {I. B.} and Kadyrov, {A. S.} and Fursa, {D. V.} and I. Bray",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2017",

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doi = "10.1016/j.cpc.2016.10.008",

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T1 - Solving close-coupling equations in momentum space without singularities for charged targets

AU - Bray, A. W.

AU - Abdurakhmanov, I. B.

AU - Kadyrov, A. S.

AU - Fursa, D. V.

AU - Bray, I.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - The analytical treatment of the Green's function in the convergent close-coupling method (Bray et al., 2016) has been extended to charged targets. Furthermore, we show that this approach allows for calculation of cross sections at zero channel energy. For neutral targets this means the electron scattering length may be obtained from a single calculation with zero incident energy. For charged targets the non-zero excitation cross sections at thresholds can also be calculated by simply setting the incident energy to the exact threshold value. These features are demonstrated by considering electron scattering on H and He+.

AB - The analytical treatment of the Green's function in the convergent close-coupling method (Bray et al., 2016) has been extended to charged targets. Furthermore, we show that this approach allows for calculation of cross sections at zero channel energy. For neutral targets this means the electron scattering length may be obtained from a single calculation with zero incident energy. For charged targets the non-zero excitation cross sections at thresholds can also be calculated by simply setting the incident energy to the exact threshold value. These features are demonstrated by considering electron scattering on H and He+.

KW - Electron–atom scattering

KW - Electron–ion scattering

UR - http://www.scopus.com/inward/record.url?scp=85007006470&partnerID=8YFLogxK

U2 - 10.1016/j.cpc.2016.10.008

DO - 10.1016/j.cpc.2016.10.008

M3 - Article

SN - 0010-4655

VL - 212

SP - 55

EP - 58

JO - Computer Physics Communications

JF - Computer Physics Communications

ER -

Solving close-coupling equations in momentum space without singularities for charged targets

Abstract

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