Theoretical calculations on photoelectron angular distribution of sequential two-photon double ionization for Ar atom

Ma Kun; Xie Lu-You; Dong Chen-Zhong

doi:10.7498/aps.69.20191814

Abstract

With the development of the intense light source, such as free electron lasers, the experiments on the nonlinear process in atomic photo absorption in the XUV and X-ray region became more and more feasible. As one of the simplest possible nonlinear processes, the sequential two-photon double ionization, in which the first photon produces an ion which is subsequently ionized by the second photon, attracts increasing attention of theorists and experimentalists. Study on the angular distributions and angular correlations of the photoelectrons in the sequential two-photon double ionization process are especially attractive, which provides valuable information about the electronic structure of atom or molecule systems and allows the obtaining of additional information about mechanism and pathway of the two-photon double ionization. In this paper, the expression for the photoelectron angular distribution in a sequential two-photon process is given based on the multi-configuration Dirac-Fock method and the density matrix theory. And then, the relativistic calculation program for photoelectron angular distribution is further developed with the help of the program packages GRASP2K and RATIP which are based on the multi-configuration Dirac-Fock method. By using this code, the sequential two-photon double ionization of the 3p shell in atomic argon is studied theoretically. The cross section, magnetic cross section, alignment of residual ions and the asymmetry parameter of the photoelectron angular distribution, each as a function of photon energy, for the first and the second step of sequential two-photon double ionization of argon are presented. The calculations predict that the alignment has a maximum value and the asymmetry parameter has a minimum value in the region of the cooper minimum. The angular distribution of the first step ionization for Ar atom and the second step ionization for Ar⁺ ion are given at 33.94 eV and 55.34 eV photon energy, respectively. In addition, the difference in property between the angular distributions of the first photoelectron in sequential two-photon double ionization and in conventional one-photon single ionization is discussed. The present calculated results are compared with other available results, showing that they are in good agreement with each other. The results of this paper will be helpful in studying nonlinear processes in the XUV range.

Keywords:

sequential two-photon double ionization /
angular distribution of photoelectron /
argon atom

Authors and contacts

1.
School of Information Engineering, Huangshan University, Huangshan 245041, China
2.
College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
3.
Engineering Technology Research Center of Intelligent Microsystems Anhui Province, Huangshan University, Huangshan 245041, China

Corresponding author: Ma Kun, makun0602@163.com

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References

[1]	Bachau H, Lambropoulos P 1991 Phys. Rev. A 44 R9(R)
[2]	Laulan S, Bachau H 2003 Phys. Rev. A 68 013409 Google Scholar
[3]	Böhme D K 2011 Phys. Chem. Chem. Phys. 13 18253 Google Scholar
[4]	Thissen R, Witasse O, Dutuit O, Wedlund C S, Gronoff G, Lilensten J 2011 Phys. Chem. Chem. Phys. 13 18264 Google Scholar
[5]	Gillaspy J D, Pomeroy J M, Perrella A C, Grube H 2007 J. Phys. Conf. Ser. 58 451 Google Scholar
[6]	McNeil B W J, Thompson N R 2010 Nat. Photon. 4 814 Google Scholar
[7]	Wabnitz H, Bittner L, de Castro A R B, et al. 2002 Nature 420 482 Google Scholar
[8]	Young L, Kanter E P, Krässig B, et al. 2010 Nature 466 56 Google Scholar
[9]	Braune M, Reinköster A, Viefhaus J, et al. 2007 XXV Int. Conf. on Photonic, Electronic and Atomic Collisions (ICPEAC), Freiburg, Germany, July 25–31, 2007 p34
[10]	Kurka M, Rudenko A, Foucar, et al. 2009 J. Phys. B: At. Mol. Opt. Phys. 42 141002 Google Scholar
[11]	Braune M, Hartmann G, Ilchen M, et al. 2016 J. Mod. Opt. 63 324 Google Scholar
[12]	Augustin S, Schulz M, Schmid G, et al. 2018 Phys. Rev. A 98 033408 Google Scholar
[13]	Ilchen M, Hartmann G, Gryzlova E V, et al. 2018 Nat. Commun. 9 4659 Google Scholar
[14]	Carpeggiani P A, Gryzlova E V, Reduzzi M, et al. 2019 Nat. Phys. 15 170 Google Scholar
[15]	Fritzsche S, Grum-Grzhimailo A N, Gryzlova E V, Kabachnik N M 2008 J. Phys. B: At. Mol. Opt. Phys. 41 165601 Google Scholar
[16]	Gryzlova E V, Grum-GrzhimailoA N, Kuzmina E I, Strakhova S I 2014 J. Phys. B: At. Mol. Opt. Phys. 47 195601 Google Scholar
[17]	Grum-Grzhimailo A N, Gryzlova E V 2014 Phys. Rev. A 89 043424 Google Scholar
[18]	Grum-Grzhimailo A N, Gryzlova E V, Fritzsche S, Kabachnik N M 2016 J. Mod. Opt. 63 334 Google Scholar
[19]	Gryzlova E V, Grum-Grzhimailo A N, Staroselskaya E I, Strakhova S I 2015 J. Electron Spectrosc. Relat. Phenom. 204 277 Google Scholar
[20]	Ma K, Xie L Y, Zhang D H, Dong C Z 2015 Chin. Phys. B 24 073402 Google Scholar
[21]	Ma K, Chen Z B, Xie L Y, Dong C Z 2018 J. Phys. B: At. Mol. Opt. Phys. 51 045203 Google Scholar
[22]	Ma K, Chen Z B, Xie L Y, Dong C Z, Qu Y Z 2017 J. Phys. B: At. Mol. Opt. Phys. 50 225202 Google Scholar
[23]	Ma K, Chen Z B, Xie L Y, Ding X B, Zhang D H, Dong C Z 2018 J. Electron Spectrosc. Relat. Phenom. 228 1 Google Scholar
[24]	Blum K 1996 Density Matrix Theory and Applications (2nd Ed.) (New York: Plenum) pp35–60
[25]	Balashov V V, Grum-Grzhimailo A N, Kabachnik N M 2000 Polarization and Correlation Phenomena in Atomic Collisions (New York: Kluwer Academic/Plenum) pp76–97
[26]	Jönsson P, Gaigalas G, Bieroń J, Fischer C F, Grant I P 2013 Comput. Phys. Commun. 184 2197 Google Scholar
[27]	Fritzsche S 2012 Comput. Phys. Commun. 183 1525 Google Scholar
[28]	Langer B 1992 ZurEnergieabhängigkeit von Photoelektronen- satelliten (Studies of Vacuum Ultraviolet and X-ray Processes (Vol. 2) (New York: AMS Press) p145

Cited By

图 1 Ar原子序列双光双电离截面

Figure 1. The cross section of the sequential two-photon double ionization in argon atom.

DownLoad: Full-Size Img PowerPoint

图 2 Ar原子3p_3/2光电离磁截面

Figure 2. The magnetic cross section of the 3p_3/2 photoionization in argon atom.

DownLoad: Full-Size Img PowerPoint

图 3 Ar原子3p_3/2光电离后剩余离子取向参数

Figure 3. The alignment of the residual ions of 3p_3/2 photoioni-zation in argon atom.

DownLoad: Full-Size Img PowerPoint

图 4 Ar原子3p壳层序列双光双电离中第一个(a)和第二个(b)光电子的角各向异性参数

Figure 4. The asymmetry parameter of the first (a) and second (b) photoelectron angular distribution in sequential two-photon double ionization of the Ar 3p shell.

DownLoad: Full-Size Img PowerPoint

图 5 Ar原子3p壳层序列双光双电离第一个(a), (b)和第二个(c), (d)光电子角各向异性参数

Figure 5. The asymmetry parameter of the angular distribution of the first (a), (b) and second (c), (d) photoelectrons emitted in sequential two-photon double ionization of the Ar 3p shell.

DownLoad: Full-Size Img PowerPoint

图 6 Ar原子3p壳层序列双光双电离光电离角分布

Figure 6. Photoelectron angular distributions for the sequential two-photon double ionization of Ar 3p shell.

DownLoad: Full-Size Img PowerPoint

map

[1]	Bachau H, Lambropoulos P 1991 Phys. Rev. A 44 R9(R)
[2]	Laulan S, Bachau H 2003 Phys. Rev. A 68 013409 Google Scholar
[3]	Böhme D K 2011 Phys. Chem. Chem. Phys. 13 18253 Google Scholar
[4]	Thissen R, Witasse O, Dutuit O, Wedlund C S, Gronoff G, Lilensten J 2011 Phys. Chem. Chem. Phys. 13 18264 Google Scholar
[5]	Gillaspy J D, Pomeroy J M, Perrella A C, Grube H 2007 J. Phys. Conf. Ser. 58 451 Google Scholar
[6]	McNeil B W J, Thompson N R 2010 Nat. Photon. 4 814 Google Scholar
[7]	Wabnitz H, Bittner L, de Castro A R B, et al. 2002 Nature 420 482 Google Scholar
[8]	Young L, Kanter E P, Krässig B, et al. 2010 Nature 466 56 Google Scholar
[9]	Braune M, Reinköster A, Viefhaus J, et al. 2007 XXV Int. Conf. on Photonic, Electronic and Atomic Collisions (ICPEAC), Freiburg, Germany, July 25–31, 2007 p34
[10]	Kurka M, Rudenko A, Foucar, et al. 2009 J. Phys. B: At. Mol. Opt. Phys. 42 141002 Google Scholar
[11]	Braune M, Hartmann G, Ilchen M, et al. 2016 J. Mod. Opt. 63 324 Google Scholar
[12]	Augustin S, Schulz M, Schmid G, et al. 2018 Phys. Rev. A 98 033408 Google Scholar
[13]	Ilchen M, Hartmann G, Gryzlova E V, et al. 2018 Nat. Commun. 9 4659 Google Scholar
[14]	Carpeggiani P A, Gryzlova E V, Reduzzi M, et al. 2019 Nat. Phys. 15 170 Google Scholar
[15]	Fritzsche S, Grum-Grzhimailo A N, Gryzlova E V, Kabachnik N M 2008 J. Phys. B: At. Mol. Opt. Phys. 41 165601 Google Scholar
[16]	Gryzlova E V, Grum-GrzhimailoA N, Kuzmina E I, Strakhova S I 2014 J. Phys. B: At. Mol. Opt. Phys. 47 195601 Google Scholar
[17]	Grum-Grzhimailo A N, Gryzlova E V 2014 Phys. Rev. A 89 043424 Google Scholar
[18]	Grum-Grzhimailo A N, Gryzlova E V, Fritzsche S, Kabachnik N M 2016 J. Mod. Opt. 63 334 Google Scholar
[19]	Gryzlova E V, Grum-Grzhimailo A N, Staroselskaya E I, Strakhova S I 2015 J. Electron Spectrosc. Relat. Phenom. 204 277 Google Scholar
[20]	Ma K, Xie L Y, Zhang D H, Dong C Z 2015 Chin. Phys. B 24 073402 Google Scholar
[21]	Ma K, Chen Z B, Xie L Y, Dong C Z 2018 J. Phys. B: At. Mol. Opt. Phys. 51 045203 Google Scholar
[22]	Ma K, Chen Z B, Xie L Y, Dong C Z, Qu Y Z 2017 J. Phys. B: At. Mol. Opt. Phys. 50 225202 Google Scholar
[23]	Ma K, Chen Z B, Xie L Y, Ding X B, Zhang D H, Dong C Z 2018 J. Electron Spectrosc. Relat. Phenom. 228 1 Google Scholar
[24]	Blum K 1996 Density Matrix Theory and Applications (2nd Ed.) (New York: Plenum) pp35–60
[25]	Balashov V V, Grum-Grzhimailo A N, Kabachnik N M 2000 Polarization and Correlation Phenomena in Atomic Collisions (New York: Kluwer Academic/Plenum) pp76–97
[26]	Jönsson P, Gaigalas G, Bieroń J, Fischer C F, Grant I P 2013 Comput. Phys. Commun. 184 2197 Google Scholar
[27]	Fritzsche S 2012 Comput. Phys. Commun. 183 1525 Google Scholar
[28]	Langer B 1992 ZurEnergieabhängigkeit von Photoelektronen- satelliten (Studies of Vacuum Ultraviolet and X-ray Processes (Vol. 2) (New York: AMS Press) p145

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Vol. 69, Issue 5 - 2020-03-05

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