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Four-level model of ion-ion laser-induced collisional energy transfer and numerical calculations for Ca~+-Sr~+ system
作者姓名:陈德应  张洪英  樊荣伟
作者单位:National Key Laboratory of Tunable Laser Technology, Institute of Opto-Electronics, Harbin Institute of Technology, Harbin 150001, China;National Key Laboratory of Tunable Laser Technology, Institute of Opto-Electronics, Harbin Institute of Technology, Harbin 150001, China;National Key Laboratory of Tunable Laser Technology, Institute of Opto-Electronics, Harbin Institute of Technology, Harbin 150001, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant Nos.~10674036 and 10774033) and Program of Excellent Team in Harbin Institute of Technology, China.
摘    要:The four-level model of laser-induced collisional energy transfer(LICET) for the ion-ion collision system is established based on the time-dependent Schro¨dinger equation for the electron dynamics,through which the equations of motion of the probability amplitudes and cross section of the collision system are obtained.Numerical calculations are performed for the Ca+-Sr+ system,with the results showing that the peak of the LICET spectrum appears at a resonant frequency of the transfer laser.The magnitude of the obtained collision cross section is in the order of 10 16 cm2,and is comparable to that obtained in atomic systems,which indicates the validity of the established four-level model.

关 键 词:laser-induced  collisional  energy  transfer  four-level  model  Ca+-Sr+  system
收稿时间:2009-04-14

Four-level model of ion-ion laser-induced collisional energy transfer and numerical calculations for Ca+-Sr+ system
Chen De-Ying,Zhang Hong-Ying and Fan Rong-Wei.Four-level model of ion-ion laser-induced collisional energy transfer and numerical calculations for Ca~+-Sr~+ system[J].Chinese Physics B,2010,19(5):53402-053402.
Authors:Chen De-Ying  Zhang Hong-Ying and Fan Rong-Wei
Institution:National Key Laboratory of Tunable Laser Technology, Institute of Opto-Electronics, Harbin Institute of Technology, Harbin 150001, China
Abstract:The four-level model of laser-induced collisional energy transfer (LICET) for ion--ion collision system is established based on the time-dependent Schr\"{o}dinger equation for the electron dynamics, through which the equations of motion of the probability amplitudes and cross section of the collision system are obtained. Numerical calculations are performed for the Ca$^+$--Sr$^+$ system, with the results showing that the peak of the LICET spectrum appears at a resonant frequency of the transfer laser. The magnitude of the obtained collision cross section is in the order of $10^{-16}$~cm$^2$, and is comparable to that obtained in atomic systems, which indicates the validity of the established four-level model.
Keywords:laser-induced collisional energy transfer  four-level model  Ca^+--Sr^+ system
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