Volume 8, Issue 1
Coulomb Divergence in S-Matrix Expansion of Above-Threshold Ionization

Mingqing Liu, Zheng Shu, Bobin Li, Shilin Hu & Jing Chen

J. At. Mol. Sci., 8 (2017), pp. 5-9.

Published online: 2017-08

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  • Abstract

Photoelectron spectrum of above-threshold ionization (ATI) is calculated using the first two orders of Coulomb-Volkov S-matrix series (Faisal, Phys. Rev. A 94, 031401 (2016)). Calculation shows that Coulomb divergence, due to singularity of forward scattering, still exists in the first two order terms for an unscreened Coulomb potential. This divergence can be removed by adding a decay factor into the phase of the S-matrix element which comes from depletion of the atomic ground state. We show that by using an example of hydrogen atom, the Coulomb-Volkov S-matrix series can successfully describe the energy spectrum of ATI and high-order ATI with the introduction of a deplete rate of the ground state.

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COPYRIGHT: © Global Science Press

  • Email address

chen_jing@iapcm.ac.cn (Jing Chen)

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@Article{JAMS-8-5, author = {Liu , MingqingShu , ZhengLi , BobinHu , Shilin and Chen , Jing}, title = {Coulomb Divergence in S-Matrix Expansion of Above-Threshold Ionization}, journal = {Journal of Atomic and Molecular Sciences}, year = {2017}, volume = {8}, number = {1}, pages = {5--9}, abstract = {

Photoelectron spectrum of above-threshold ionization (ATI) is calculated using the first two orders of Coulomb-Volkov S-matrix series (Faisal, Phys. Rev. A 94, 031401 (2016)). Calculation shows that Coulomb divergence, due to singularity of forward scattering, still exists in the first two order terms for an unscreened Coulomb potential. This divergence can be removed by adding a decay factor into the phase of the S-matrix element which comes from depletion of the atomic ground state. We show that by using an example of hydrogen atom, the Coulomb-Volkov S-matrix series can successfully describe the energy spectrum of ATI and high-order ATI with the introduction of a deplete rate of the ground state.

}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.050517.072017a}, url = {http://global-sci.org/intro/article_detail/jams/10429.html} }
TY - JOUR T1 - Coulomb Divergence in S-Matrix Expansion of Above-Threshold Ionization AU - Liu , Mingqing AU - Shu , Zheng AU - Li , Bobin AU - Hu , Shilin AU - Chen , Jing JO - Journal of Atomic and Molecular Sciences VL - 1 SP - 5 EP - 9 PY - 2017 DA - 2017/08 SN - 8 DO - http://doi.org/10.4208/jams.050517.072017a UR - https://global-sci.org/intro/article_detail/jams/10429.html KW - above-threshold ionization, S-matrix thoery, Coulomb optential, rescattering. AB -

Photoelectron spectrum of above-threshold ionization (ATI) is calculated using the first two orders of Coulomb-Volkov S-matrix series (Faisal, Phys. Rev. A 94, 031401 (2016)). Calculation shows that Coulomb divergence, due to singularity of forward scattering, still exists in the first two order terms for an unscreened Coulomb potential. This divergence can be removed by adding a decay factor into the phase of the S-matrix element which comes from depletion of the atomic ground state. We show that by using an example of hydrogen atom, the Coulomb-Volkov S-matrix series can successfully describe the energy spectrum of ATI and high-order ATI with the introduction of a deplete rate of the ground state.

Mingqing Liu, Zheng Shu, Bobin Li, Shilin Hu & Jing Chen. (2019). Coulomb Divergence in S-Matrix Expansion of Above-Threshold Ionization. Journal of Atomic and Molecular Sciences. 8 (1). 5-9. doi:10.4208/jams.050517.072017a
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