Single differential and total ionization cross section of the helium atom by positron impact

Single differential (SDCS) and total (TCS) cross sections are calculated for the single ionization process of a helium atom by positron impact in the intermediate and high energy range (50–300 eV). To study the charge asymmetry, cross sections for electron impact ionization are also presented for comparison with the positron data. The TCS results for positron impact have been compared with existing measurements. A good agreement is noted in the high energy regime ( 100–300 eV).     

Calculation of the differential cross sections of excitation and ionization of a helium atom by electrons

Equations for the amplitudes and differential cross sections of electronic excitation and ionization of a helium atom are derived in the approximation of a frozen ion core. The wave functions of the discrete states are chosen in the form of generalized hydrogenlike orbitals. The radial wave functions of the continuous spectrum are determined by solving the equation of motion numerically. The differential excitation cross sections of excitation of the 2p, 3p, and 4p levels and ionization of a helium atom by electrons are calculated in the energy range up to 50 eV. Estimates are obtained for the nonorthogonal wave functions in the amplitudes of the excitation and ionization processes. It is shown that the given method is more compatible with experiment than the Born method.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 48–57, December, 1994.     

Calculation of the cross section of helium ionization by an electron impact with the formation of a helium ion in an excited state

The total cross sections of He and He⁺ ionization by an electron impact are calculated in the first Born approximation. Calculations of the matrix elements are carried out by the Fock-Dirac multiconfiguration relativistic method using an intermediate type of coupling with orthogonal functions of the initial and final states. A single-electron wave function of the continuous spectrum for an Auger electron is obtained using the Fock-Dirac single-configuration method. The results of the calculations performed with orthogonal and nonorthogonal wave functions of the initial and final states are compared. The ionization cross sections are calculated for cases in which a knock-on electron of the continuous spectrum is described by both the orthogonal and nonorthogonal wave functions with respect to the wave functions of the core electrons.     

Double charge transfer cross sections in collision of protons with helium atom

Theoretical total cross sections for the double charge transfer in proton-helium collisions are analysed using the four-body boundary corrected continuum intermediate state approximation in the energy range of 30 to 500 keV. We have also obtained differential double capture cross sections as a functions of projectile scattering angle. The intermediate continuum state of each of the active electron has been taken into account in this formalism. Our calculated results are compared with the previous experimental and theoretical values. The agreement is very encouraging.     

Ratio of single K-shell ionization cross section to double K-shell ionization cross section in heavy-ion-atom collisions

The spectra of Ti Kα X-rays induced by He, C, N and O ions were measured with the use of a Bragg crystal spectrometer. The ratios of the integrated hypersatellite to diagram-plus-satellite X-ray yields were obtained. The previously obtained data on Cr, Fe and Ni Kα X rays induced by N ions were also analysed. It is found that the double K-shell vacancy production cross section is proportional to Z⁴₁.     

应用ECPSSR理论研究重离子引起原子的内壳层电离

ECPSSR理论是解释离子-原子碰撞内壳层电离最成功的理论之一.我们用VISUAL FORTRAN编写了ECPSSR理论计算程序,修正了ISICS程序中的错误,本程序可以对各种入射离子与靶原子的组合进行计算,给出K,L,M的壳层及次壳层电离截面以及相应的X射线产生截面,并根据需要选择是否对入射离子运动进行相对论修正.采用所编写的程序计算了一些碰撞体系的电离截面和X射线产生截面,并与其他程序的计算结果和实验数据分别进行了比较.     

Triple differential cross section measurements for the electron impact ionization of helium: Comparison with a second Born approximation

Triple differential cross sections for the ionization of helium by electrons of 500 eV impact energy have been measured in a coplanar, asymmetric geometry and for energies of the ejected electrons of 2.5, 5, 10 and 20 eV. A comparison is made between experimental data and a second Born treatment of Byron, Joachain and Piraux [1] for atomic hydrogen but for corresponding momenta of the incoming and the two outgoing electrons and for corresponding momentum transfer during the collision. The second Born describes quite well the shifts of the binary peak and the recoil peak to larger angles, the asymmetry of the recoil peak and the ratios of the intensities of binary to recoil peaks for different scattering parameters. — A quantitative estimate is made (for high impact energy) of the contributions to the total cross section of those ionizing collisions, in which the recoil peak intensity represents a considerable quantity. Probably most of these events can not be described by a single collision approximation.     

Calculation of cross sections of simultaneous ionization in ion-atom collisions by the generalized geometrical model

The geometrical model (GM) of ionization in ion—atom collisions [8, 9] was generalized to describe ionization of both colliding particles (simultaneous ionization) due to electron—electron interaction. The generalized GM (GGM) allows calculation of the cross sections for electron loss by an incident particle with simultaneous target ionization at collision velocities higher than characteristic electron velocities, accurate within a factor of two with respect to the Born or impulse approximation. An advantage of the GGM, except for its simplicity, is easy calculation of p(b) (p is the ionization probability and b is the impact parameter), which makes it possible to include the contribution of simultaneous ionization into more general approximate schemes for calculating cross sections of multielectron ionization of atoms or ions.     

Target structure induced suppression of the ionization cross section for very low energy antiproton-hydrogen collisions

Low energy antiprotons have been used previously to give benchmark data for theories of atomic collisions. Here we present measurements of the cross section for single, nondissociative ionization of molecular hydrogen for impact of antiprotons with kinetic energies in the range 2-11 keV, i.e., in the velocity interval of 0.3-0.65 a.u. We find a cross section which is proportional to the projectile velocity, which is quite unlike the behavior of corresponding atomic cross sections, and which has never previously been observed experimentally.     

Multiphoton effects in laser-assisted ionization of a helium atom by electron impact

The dynamics of the electron impact multiphoton ionization of a He atom in the presence of an intense laser field (n $\gamma _e$ , 2e) is studied theoretically for laser polarization ( $\vert\vert^l$ ) and perpendicular ( $\bot^r$ ) to the incident momentum. The triple differential (TDCS) as well as the double differential (DDCS) cross sections are studied for the coplanar asymmetric geometry. The results are compared with the only available kinematically complete experiment at high incident energy (1000 eV). Significant laser modification (enhancement) is noted due to multiphoton effects in the present binary and recoil peak intensities of the TDCS for both the geometries, in qualitative agreement with the experiment. In the single photon case, the net effect of the laser field is to suppress the field free (FF) TDCS as well as the DDCS in the zeroth order approximation of the ejected electron wave function (CV), while in the first order (MCV), the cross sections are found to be enhanced. The CV multiphoton cross sections obey the famous Kroll Watson (KW) sum rule while the latter does not hold good in the corresponding MCV approximation.     

100MeV/amu C6+ 碰撞氦原子单电离的全微分截面

利用修正的库仑玻恩近似理论（MCBPT和MCB）计算了散射平面和垂直平面内100MeV/amu C6+ 单电离氦原子的全微分截面,研究了核核作用对截面的影响.其结果与实验数据和3DW理论进行了比较.发现,对于小动量转移,MCBPT计算结果与实验符合的很好;对于大动量转移,MCB结果很好的反映了实验数据.而且,我们详细的分析了扭曲势效应对截面的影响,结果表明随着动量转移的增加扭曲势效应迅速增强.     

100 MeV/amu C~(6+)碰撞氦原子单电离的全微分截面

利用全量子方法改进且加入核核作用(PT)的修正库仑玻恩近似(MCBPT)和前人基于半经典的方法且不考虑核核作用的修正库仑玻恩近似(MCB)计算了散射平面和垂直平面内100 Me V/amu C6+单电离氦原子的全微分截面,研究了核核作用对截面的影响.其结果与实验数据和3DW理论进行了比较.发现,对于小动量转移,MCBPT计算结果与实验符合的很好;对于大动量转移,MCB结果很好的反映了实验数据.而且,我们详细的分析了扭曲势效应对截面的影响,结果表明随着动量转移的增加扭曲势效应迅速增强.     

730 eV电子碰撞He原子(e, 2e)电离的三重微分截面

考虑初态He原子电子间的关联效应、末态敲出电子与剩余束缚电子间的关联效应和末态屏蔽效应, 计算和分析了在共面、大能量损失和小动量转移这一特殊几何条件下730eV电子离化He原子的三重微分截面. 所得结果与Stevenson等人的相对实验数据和CCC理论计算结果进行比较发现: 所得到的理论曲线能够反映实验数据给出的三重微分截面的结构特征.     

730 eV电子碰撞He原子(e, 2e)电离的三重微分截面

考虑初态He原子电子间的关联效应、末态敲出电子与剩余束缚电子间的关联效应和末态屏蔽效应, 计算和分析了在共面、大能量损失和小动量转移这一特殊几何条件下730eV电子离化He原子的三重微分截面. 所得结果与Stevenson等人的相对实验数据和CCC理论计算结果进行比较发现: 所得到的理论曲线能够反映实验数据给出的三重微分截面的结构特征.     

Photoabsorption cross section of the Thomas-Fermi atom

The photoabsorption cross section σ(ω) and the distribution of oscillator strengths df/dω [these values are related as σ=(2π²e²/mc)(df/dω)] were determined for an atom with a large Z value using the semiclassical approach. These values were found for low frequencies with the use of the Vlasov kinetic equations, which were numerically solved by the method of particles. The asymptotic behavior of the distribution of oscillator strengths at high frequencies was determined by semiclassical equations for the photoabsorption cross section of electron shells in a Coulomb potential. The asymptotic equations were used to suggest an interpolation equation for the distribution of oscillator strengths over the whole Thomas-Fermi frequency range 27 eV ? ?ω ? 27Z² eV. This equation was used to calculate the logarithmic mean excitation energy, which appears in problems of ionization loss of charged particles. The distribution of oscillator strengths in a neutral atom allows the radiative properties of dense matter to be determined.