Ionization in an intense field considering Coulomb correction

doi:10.1088/1674-1056/26/2/023203

Abstract We derive a simple ionization rate formula for the ground state of a hydrogen atom in the velocity gauge under the conditions: ω<<1 a.u. (a.u. is short for atomic unit) and γ<<1 (ω is the laser frequency and γ is the Keldysh parameter). Comparisons are made among the different versions of the Keldysh-Faisal-Reiss (KFR) theory. The numerical study shows that with considering the quasi-classical (WKB) Coulomb correction in the final state of the ionized electron, the photoionization rate is enhanced compared with without considering the Coulomb correction, and the Reiss theory with the WKB Coulomb correction gives the correct result in the tunneling regime. Our concise formula of the ionization rate may provide an insight into the ionization mechanism for the ground state of a hydrogen atom.

Keywords: strong field approximation ionization rate Coulomb potential

Received: 28 February 2016
Revised: 05 November 2016
Accepted manuscript online:

PACS:	32.80.Rm	(Multiphoton ionization and excitation to highly excited states)
	33.80.Rv	(Multiphoton ionization and excitation to highly excited states (e.g., Rydberg states))

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11274149 and 11304185) and the Program of Shenyang Key Laboratory of Optoelectronic Materials and Technology, China (Grant No. F12-254-1-00).

Corresponding Authors: Jian Li, Feng-Cai Ma
E-mail: lijian@sau.edu.cn;fcma@lnu.edu.cn

Cite this article:

Jian Li(李健), Yi-Ning Huo(霍一宁), Zeng-Hua Tang(唐增华), Feng-Cai Ma(马凤才) Ionization in an intense field considering Coulomb correction 2017 Chin. Phys. B 26 023203

[1]	Agostini P, Fabre F, Mainfray G, Petite G and Rahman N K 1979 Phys. Rev. Lett. 42 1127
[2]	Jia X Y, Fan D H, Li W D and Chen J 2013 Chin. Phys. B 22 013303
[3]	Fu Y Z, Zhao S F and Zhou X X 2012 Chin. Phys. B 21 113101
[4]	Keldysh L V and Eksp Z 1965 JETP 20 1307
[5]	Faisal F H M 1973 J. Phys. B 6 89
[6]	Reiss H R 1980 Phys. Rev. A 22 1786
[7]	Zhao D and Li F L 2013 Chin. Phys. B 22 064215
[8]	Tang Z H, Li Y Q and Ma F C 2013 Chin. Phys. B 22 044203
[9]	Bauer J 2006 Phys. Rev. A 73 023421
[10]	Shigang C 1995 Chin. Phys. Lett. 12 273
[11]	Bauer J H 2011 Phys. Rev. A 84 025403
[12]	Basile S, Trombetta F and Ferrante G 1988 Phys. Rev. Lett. 61 2435
[13]	Duchateau G, Cormier E, Bachau H and Gayet R 2001 Phys. Rev. A 63 053411
[14]	Bauer J H 2007 Phys. Rev. A 75 045401
[15]	Kálmán P 1988 Phys. Rev. A 38 5458
[16]	Duchateau G E, Cormier and Gayet R 2002 Phys. Rev. A 66 023412
[17]	Bao Z C 1997 Chin. Phys. Lett. 14 585
[18]	Reiss H R and Krainov V P 1994 Phys. Rev. A 50 910
[19]	Mishima K, Hayashi M, Yi J, Lin S H, Selzle H L and Schlag E W 2002 Phys. Rev. A 66 053408
[20]	Krainov V P and Shokri B 1995 J. Exp. Theor. Phys. 80 657
[21]	Krainov V P 1997 J. Opt. Soc. Am. B 14 425
[22]	Smirnov B M and Chibisov M I 1966 Sov. Phys. JETP 22 585

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