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Journal articles on the topic 'Triple differential cross section (TDCS)'

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Author: Grafiati

Published: 4 June 2021

Last updated: 20 February 2023

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1

Purohit, Ghanshyam. "Calculation of Electron Impact Single Ionization TDCS of Tungsten Atoms at 200, 500 and 1000 eV." Atoms 9, no. 2 (June 7, 2021): 31. http://dx.doi.org/10.3390/atoms9020031.

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We report triple differential cross-sections (TDCSs) for the electron impact single ionization of tungsten atoms for the ionization taking place from the outer sub shells of tungsten atoms, viz. W (6s), W (5d), W (5p) and W (4f). The study of the electron-induced processes such as ionization, excitation, autoionization from tungsten and its charged states is strongly required to diagnose and model the fusion plasma in magnetic devices such as Tokamaks. Particularly, the cross-section data are important to understand the electron spectroscopy involved in the fusion plasma. In the present study, we report TDCS results for the ionization of W atoms at 200, 500 and 1000 eV projectile energy at different values of scattered electron angles. It was observed that the trends of TDCSs for W (5d) are significantly different from the trends of TDCSs for W (6s), W (5p) and W (4f). It was further observed that the TDCS for W atoms has sensitive dependence on value of momentum transfer and projectile energy.

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2

Pandey, Alpana, and Ghanshyam Purohit. "TDCS Calculation for the Ionization of Nitrogen Molecule by Electron Impact." Atoms 10, no. 2 (May 18, 2022): 50. http://dx.doi.org/10.3390/atoms10020050.

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Triple differential cross section (TDCS) results are reported for the electron impact ionization of nitrogen molecules. The TDCSs have been calculated in distorted wave Born formalism using orientation averaged molecular orbital (OAMO) approximation. The TDCS results are presented as average and weighted sum for the outer molecular orbital 3σg, 1πu, 2σu and the inner 2σg molecular orbital. The obtained theoretical TDCSs are compared with the available measurements. The results are analysed in terms of the positions and relative intensities of binary and recoil peaks. Within a first order model and for a complex molecule, a reasonable agreement is obtained with the experimental data in the binary peak region with certain discrepancies in position and magnitude in the recoil peak region.

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3

DeMars, C., S. Ward, J. Colgan, S. Amami, and D. Madison. "Deep Minima in the Triply Differential Cross Section for Ionization of Atomic Hydrogen by Electron and Positron Impact." Atoms 8, no. 2 (May 29, 2020): 26. http://dx.doi.org/10.3390/atoms8020026.

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We investigate ionization of atomic hydrogen by electron- and positron-impact. We apply the Coulomb–Born (CB1) approximation, various modified CB1 approximations, the three body distorted wave (3DW) approximation, and the time-dependent close-coupling (TDCC) method to electron-impact ionization of hydrogen. For electron-impact ionization of hydrogen for an incident energy of approximately 76.45 eV, we obtain a deep minimum in the CB1 triply differential cross section (TDCS). However, the TDCC for 74.45 eV and the 3DW for 74.46 eV gave a dip in the TDCS. For positron-hydrogen ionization (breakup) we apply the CB1 approximation and a modified CB1 approximation. We obtain a deep minimum in the TDCS and a zero in the CB1 transition matrix element for an incident energy of 100 eV with a gun angle of 56.13 ° . Corresponding to a zero in the CB1 transition matrix element, there is a vortex in the velocity field associated with this element. For both electron- and positron-impact ionization of hydrogen the velocity field rotates in the same direction, which is anticlockwise. All calculations are performed for a doubly symmetric geometry; the electron-impact ionization is in-plane and the positron-impact ionization is out-of-plane.

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4

Dawber, G., A. G. McConkey, H. Rojas, N. Gulley, G. C. King, L. Avaldi, M. Zubek, M. A. MacDonald, and R. I. Hall. "Photodouble ionization of atoms and molecules near threshold." Canadian Journal of Physics 74, no. 11-12 (November 1, 1996): 782–88. http://dx.doi.org/10.1139/p96-112.

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New experimental techniques have been applied to the study of single-photon double ionization of atoms and molecules. A coincidence technique is described in which the spectra of nearly zero energy photoelectrons are recorded in two identical photoelectron energy analysers. The results are discussed in terms of the available theoretical calculations. New techniques for the measurement of double differential cross sections (DDCS) and triple differential cross sections (TDCS) are discussed. New results using these techniques are presented, in which DDCS and TDCS are measured as continuous functions of photon energy.

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5

Lozano, Ana I., Filipe Costa, Xueguang Ren, Alexander Dorn, Lidia Álvarez, Francisco Blanco, Paulo Limão-Vieira, and Gustavo García. "Double and Triple Differential Cross Sections for Single Ionization of Benzene by Electron Impact." International Journal of Molecular Sciences 22, no. 9 (April 27, 2021): 4601. http://dx.doi.org/10.3390/ijms22094601.

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Experimental results for the electron impact ionization of benzene, providing double (DDCS) and triple differential cross sections (TDCS) at the incident energy of 90 eV, measured with a multi-particle momentum spectrometer, are reported in this paper. The most intense ionization channel is assigned to the parent ion (C6H6+) formation. The DDCS values are presented for three different transferred energies, namely 30, 40 and 50 eV. The present TDCS are given for two fixed values of the ejected electron energy (E2), at 5 and 10 eV, and an electron scattering angle (θ1) of 10°. Different features related to the molecular orbitals of benzene from where the electron is extracted are observed. In addition, a semi-empirical formula to be used as the inelastic angular distribution function in electron transport simulations has been derived from the present DDCS result and compared with other expressions available in the literature.

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6

Campeanu, R. I., and Colm T. Whelan. "Few Body Effects in the Electron and Positron Impact Ionization of Atoms." Atoms 9, no. 2 (June 9, 2021): 33. http://dx.doi.org/10.3390/atoms9020033.

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Triple differential cross sections (TDCS) are presented for the electron and positron impact ionization of inert gas atoms in a range of energy sharing geometries where a number of significant few body effects compete to define the shape of the TDCS. Using both positrons and electrons as projectiles has opened up the possibility of performing complementary studies which could effectively isolate competing interactions that cannot be separately detected in an experiment with a single projectile. Results will be presented in kinematics where the electron impact ionization appears to be well understood and using the same kinematics positron cross sections will be presented. The kinematics are then varied in order to focus on the role of distortion, post collision interaction (pci), and interference effects.

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7

Kheifets, Anatoli S., and Igor Bray. "Helium Double Photoionisation: An Accurate Solution of a Three-body Coulomb Problem." Australian Journal of Physics 51, no. 4 (1998): 655. http://dx.doi.org/10.1071/p97095.

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We present here the solution of the helium double photoionisation problem by the convergent close-coupling (CCC) method. This method allows us to obtain the most detailed description of the double photoionisation process in the form of the fully resolved triply differential cross section (TDCS). The accuracy of our model is tested by calculating the TDCS in the three different forms of the electromagnetic operator which produces essentially identical results. We compare our calculation with the most accurate experimental and theoretical data available to date.

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8

Popov, Yu V., and C. Dal Cappello. "Theoretical developments in (e,2e) studies of excited states and in (e,3e) spectroscopy." Canadian Journal of Physics 74, no. 11-12 (November 1, 1996): 843–49. http://dx.doi.org/10.1139/p96-120.

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The theory of single and double ionization of atoms deals with one of the most difficult problems in quantum mechanics: the scattering of a few charged particles. A large number of different (e,2e) experiments and theoretical calculations have helped us to understand the main physical mechanisms and their effect on the shape of triple differential cross section (TDCS). Recently the first deeply asymmetric (e,2e) experiments, leaving the residual ion in an excited state (which we indicate in this paper by (e,2e)*), and (e,3e) experiments have been performed. These offer new challenges to the theory. A very preliminary survey of main theoretical methods currently used to explain the experimental measurements is presented here. It will be shown that small differences in the choice of initial and final state models employed by different authors lead to large effects in both the shape and absolute size of the TDCS in the case of excitation ionization, even if these models give almost identical results for the (e,2e) case. A few physical mechanisms contributing to the (e,2e)* process are discussed in this paper. Special attention is given to the multichannel close-coupling method. (e,3e) experiments allow us to study the final state wave function with two continuum electrons. We obtain two unexpected results. First, we found that the two-step mechanism contribution is comparable and even bigger than that of shake-off. Second, the algorithms exploiting the angular decompositions of many-body continuum wave functions do not work in the case of long-range potentials; this is a result of the failure of the widely used diagonalization approximations in this case. The physical considerations that support these and other results are presented in this paper.

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9

Scherer, N., H. Lörch, and V. Schmidt. "Triple differential cross section measurements in and." Journal of Physics B: Atomic, Molecular and Optical Physics 31, no. 19 (October 14, 1998): L817—L822. http://dx.doi.org/10.1088/0953-4075/31/19/009.

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10

Sheridan, P., M. Grimm, and E. Sokell. "Resonant triple-differential cross-section measurements on atomic strontium." Journal of Physics B: Atomic, Molecular and Optical Physics 41, no. 16 (August 7, 2008): 165204. http://dx.doi.org/10.1088/0953-4075/41/16/165204.

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11

Khajuria, Y., S. Sunil Kumar, and P. C. Deshmukh. "Triple differential cross section in collisions for atomic potassium." Physics Letters A 373, no. 48 (December 2009): 4442–46. http://dx.doi.org/10.1016/j.physleta.2009.10.001.

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12

Reddish, T. J., J. P. Wightman, M. A. MacDonald, and S. Cvejanović. "Triple Differential Cross Section Measurements for Double Photoionization ofD2." Physical Review Letters 79, no. 13 (September 29, 1997): 2438–41. http://dx.doi.org/10.1103/physrevlett.79.2438.

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13

Cavanagh, Steven J., and Birgit Lohmann. "Triple differential cross-section measurements forKr(3d)electron-impact ionization." Physical Review A 57, no. 4 (April 1, 1998): 2718–23. http://dx.doi.org/10.1103/physreva.57.2718.

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14

Purohit, G., Vinod Patidar, and K. K. Sud. "Triple differential cross section of potassium for doubly symmetric ionization." Physics Letters A 374, no. 26 (June 2010): 2654–60. http://dx.doi.org/10.1016/j.physleta.2010.04.037.

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15

Cheng-Hua, Zhang, Qiu Wei, Xin Jun-Li, Niu Ying-Yu, Wang Xiao-Wei, and Wang Jing-Yang. "Triple differential cross section in ionization of hydrogen by electron impact." Chinese Physics 12, no. 12 (December 2003): 1395–98. http://dx.doi.org/10.1088/1009-1963/12/12/011.

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16

West, J. B., K. J. Ross, H.-J. Beyer, A. De Fanis, and H. Hamdy. "Triple differential cross section measurements for resonant double photoionization of Sr." Journal of Physics B: Atomic, Molecular and Optical Physics 34, no. 21 (October 31, 2001): 4167–79. http://dx.doi.org/10.1088/0953-4075/34/21/308.

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17

Gupta, Seema, and M. K. Srivastava. "(e, 2e) triple differential cross section for ionization-excitation of helium." Pramana 47, no. 1 (July 1996): 79–85. http://dx.doi.org/10.1007/bf02847168.

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18

Wang, Yuan-Cheng, Jun-Bo Liu, Jia Ma, De-Jun Liu, and Ya-Jun Zhou. "Triple-differential cross section for single ionization of H2by electron impact." Chinese Physics B 22, no. 7 (July 2013): 073403. http://dx.doi.org/10.1088/1674-1056/22/7/073403.

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19

Kumar, A. "Measurement of triple differential photon plus jet cross section by DØ." Journal of Physics: Conference Series 110, no. 2 (May 1, 2008): 022025. http://dx.doi.org/10.1088/1742-6596/110/2/022025.

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20

Rösel, T., J. Röder, L. Frost, K. Jung, H. Ehrhardt, S. Jones, and D. H. Madison. "Absolute triple differential cross section for ionization of helium near threshold." Physical Review A 46, no. 5 (September 1, 1992): 2539–52. http://dx.doi.org/10.1103/physreva.46.2539.

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21

Sahlaoui, Mohammed, and Mammar Bouamoud. "Analytic formula for charged particle impact ionization cross-section." Canadian Journal of Physics 88, no. 12 (December 2010): 905–10. http://dx.doi.org/10.1139/p10-088.

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We derive an analytical formula for the first Born approximation amplitude for the ionization of general neutral atomic targets by charged particle impact. An orthogonalized Coulomb wave function is used to describe the ejected electron. The triple differential cross-section is written in a computationally efficient analytic form.

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22

Kheifets, A. S. "Triple differential cross section calculation for the helium autoionization by electron impact." Journal of Physics B: Atomic, Molecular and Optical Physics 26, no. 13 (July 14, 1993): 2053–68. http://dx.doi.org/10.1088/0953-4075/26/13/025.

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23

Tóth, I., and L. Nagy. "Triple-differential cross-section calculations for the ionization of CH4by electron impact." Journal of Physics B: Atomic, Molecular and Optical Physics 43, no. 13 (June 14, 2010): 135204. http://dx.doi.org/10.1088/0953-4075/43/13/135204.

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24

Schellman, H. "Measurement of the triple differential jet cross section at √s = 1800 GeV." Nuclear Physics B - Proceedings Supplements 79, no. 1-3 (October 1999): 235–37. http://dx.doi.org/10.1016/s0920-5632(99)00685-4.

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25

Diallo, Saïdou, I. G. Faye, I. A. Diédhiou, M. S. Tall, L. Gomis, and C. S. Diatta. "Triple differential cross section for the ionization of helium by electronic impact." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 269, no. 23 (December 2011): 2807–13. http://dx.doi.org/10.1016/j.nimb.2011.08.033.

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26

Bandyopadhyay, Anita, K. Roy, and N. C. Sil. "Triple differential ionisation cross-section of hydrogen atom bye �-impact including exchange." Zeitschrift f�r Physik D Atoms, Molecules and Clusters 30, no. 1 (March 1994): 35–38. http://dx.doi.org/10.1007/bf01437476.

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27

Chauhan, R. K., M. K. Srivastava, and R. Srivastava. "Triple differential cross-section for the ionization of H- at low energies." European Physical Journal D 35, no. 3 (June 7, 2005): 499–503. http://dx.doi.org/10.1140/epjd/e2005-00080-2.

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28

Bianco, W. Del, and M. Carignan. "Bremsstrahlung linear polarization." Canadian Journal of Physics 67, no. 6 (June 1, 1989): 545–61. http://dx.doi.org/10.1139/p89-101.

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The dependence of the bremsstrahlung perpendicular and parallel triple differential cross sections and the linear polarization on the angles and energies of the incident and scattered electron and of the emitted gamma-ray has been studied in the high-energy small-angle hypothesis. The expression used for the bremsstrahlung triple differential cross section is valid in the Born approximation and for an unscreened Coulomb potential of the nucleus.

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29

Zhang, X., C. T. Whelan, and H. R. J. Walters. "Electron impact ionization of lithium-spin asymmetry of the triple differential cross section." Journal of Physics B: Atomic, Molecular and Optical Physics 25, no. 17 (September 14, 1992): L457—L462. http://dx.doi.org/10.1088/0953-4075/25/17/010.

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30

Rasch, J., Colm T. Whelan, R. J. Allan, S. P. Lucey, and and H. R. J. Walters. "Strong interference effects in the triple differential cross section of neutral-atom targets." Physical Review A 56, no. 2 (August 1, 1997): 1379–83. http://dx.doi.org/10.1103/physreva.56.1379.

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31

Rouvellou, B., S. Rioual, and A. Pochat. "Triple differential cross section of rare gas atoms in different low energy kinematics." Le Journal de Physique IV 09, PR6 (June 1999): Pr6–35—Pr6–39. http://dx.doi.org/10.1051/jp4:1999609.

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32

Cvejanovic, S., and T. J. Reddish. "(γ, 2e) in He - a practical parametrization of the triple differential cross section." Journal of Physics B: Atomic, Molecular and Optical Physics 33, no. 21 (October 12, 2000): 4691–709. http://dx.doi.org/10.1088/0953-4075/33/21/314.

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33

Cheikh, R., J. Hanssen, and B. Joulakian. "Triple differential cross section of electron impact ionisation of Na(3s, 3p, 3d)." European Physical Journal D - Atomic, Molecular and Optical Physics 2, no. 3 (July 1, 1998): 203–8. http://dx.doi.org/10.1007/s100530050132.

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34

Chen Zhan-Bin, Yang Huan, Wu Xing-Ju, and Zhang Sui-Meng. "Influence of Sommerfeld parameters on triple differential cross section in non-coplanar geometry." Acta Physica Sinica 60, no. 6 (2011): 063402. http://dx.doi.org/10.7498/aps.60.063402.

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35

Röder, J., H. Ehrhardt, Igor Bray, Dmitry V. Fursa, and Ian E. McCarthy. "Absolute triple differential cross section for electron-impact ionization of helium at 40 eV." Journal of Physics B: Atomic, Molecular and Optical Physics 29, no. 10 (May 28, 1996): 2103–14. http://dx.doi.org/10.1088/0953-4075/29/10/018.

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36

Röder, J., H. Ehrhardt, Igor Bray, Dmitry V. Fursa, and Ian E. McCarthy. "Absolute triple differential cross section for electron-impact ionization of helium at 50 eV." Journal of Physics B: Atomic, Molecular and Optical Physics 29, no. 2 (January 28, 1996): L67—L73. http://dx.doi.org/10.1088/0953-4075/29/2/006.

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37

Tóth, I., and L. Nagy. "Triple differential cross section calculations for the ionization of molecular nitrogen by electron impact." Journal of Physics: Conference Series 388, no. 5 (November 5, 2012): 052032. http://dx.doi.org/10.1088/1742-6596/388/5/052032.

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38

Khajuria, Y., and P. C. Deshmukh. "Xe(4d) triple differential cross section: modified semiclassical exchange approximation in electron–atom collision." Journal of Physics B: Atomic, Molecular and Optical Physics 39, no. 3 (January 3, 2006): 569–76. http://dx.doi.org/10.1088/0953-4075/39/3/010.

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39

Baliyan, K. S., and M. K. Srivastava. "Triple differential cross sections for the ionization of helium by intermediate-energy electrons." Canadian Journal of Physics 66, no. 1 (January 1, 1988): 82–85. http://dx.doi.org/10.1139/p88-011.

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The recent triple differential cross-section data of Jung for the ionization of helium in the coplanar asymmetric geometry at 250 eV incident electron energy is analyzed within the framework of the second Born (B2) and modified Glauber (MG) approximations. At this energy B2 and MG results, although better than those obtained by using the first Born and Glauber approximations, do not lead to a satisfactory description of the experimental data in all the kinematic situations considered here.

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40

Dhar, Sunil. "Electron Impact Ionisation of Metastable 2s-state Hydrogen Atoms." Australian Journal of Physics 49, no. 5 (1996): 937. http://dx.doi.org/10.1071/ph960937.

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The triple differential cross section for ionisation of hydrogen atoms in the metastable 2s-state by electrons of 250 eV incidence energy has been calculated following the multiple scattering theory of Das and Seal (1993). The results are compared with the first Born results and with the results of some other theories. Additional features are noted in the cross section curves of the present calculation. These offer wider scope for the experimental study of ionisation of hydrogen atoms in their metastable states.

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41

Malegat, L., P. Selles, and A. Huetz. "Double photoionization: I. A new parametrization of the triple differential cross section from first principles." Journal of Physics B: Atomic, Molecular and Optical Physics 30, no. 2 (January 28, 1997): 251–61. http://dx.doi.org/10.1088/0953-4075/30/2/018.

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42

Bell, F., T. Tschentscher, J. R. Schneider, and A. J. Rollason. "The triple differential cross section for deep inelastic photon scattering: a ( gamma ,e gamma ') experiment." Journal of Physics B: Atomic, Molecular and Optical Physics 24, no. 22 (November 28, 1991): L533—L538. http://dx.doi.org/10.1088/0953-4075/24/22/001.

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43

Huetz, L. Malegat, P. Selles and A. "Double photoionization: I. A new parametrization of the triple differential cross section from first principles." Journal of Physics B: Atomic, Molecular and Optical Physics 35, no. 24 (December 4, 2002): 5169. http://dx.doi.org/10.1088/0953-4075/35/24/501.

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44

Li, Zhongjun, Xu Shan, Jing Zhang, Damin Meng, and Rui Wang. "Triple differential cross section in (e, 2e) collisions for sodium in a coplanar symmetric geometry." Physics Letters A 375, no. 26 (June 2011): 2563–68. http://dx.doi.org/10.1016/j.physleta.2011.05.041.

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45

Khajuria, Y., and D. N. Tripathi. "Modified semiclassical exchange approximation in electron–atom collision He(e,2e) triple differential cross-section." Physics Letters A 260, no. 5 (September 1999): 360–64. http://dx.doi.org/10.1016/s0375-9601(99)00486-7.

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46

Cavanagh, S. J., Birgit Lohmann, J. Rasch, Colm T. Whelan, and H. R. J. Walters. "Experimental and theoretical determination of the triple differential cross section forKr(4p)electron-impact ionization." Physical Review A 60, no. 4 (October 1, 1999): 2977–82. http://dx.doi.org/10.1103/physreva.60.2977.

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47

Das, JN, A. Dey, and K. Chakrabarti. "Schwinger Variational Calculation for Ionisation of Hydrogen Atoms by Electrons." Australian Journal of Physics 47, no. 6 (1994): 751. http://dx.doi.org/10.1071/ph940751.

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The Schwinger variational principle has been used to calculate the triple differential cross section for ionisation of hydrogen atoms by electrons at intermediate and high energies for Ehrhardt-type asymmetric geometry. The results are somewhat better in the recoil peak regions compared with those of the second Born and other similarly successful calcula

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48

Bickert, P., W. Hink, C. Dal Cappelllo, and A. Lahmam-Bennani. "Triple differential cross section of single Ar(2p) ionization by electron impact in the keV region." Journal of Physics B: Atomic, Molecular and Optical Physics 24, no. 21 (November 14, 1991): 4603–14. http://dx.doi.org/10.1088/0953-4075/24/21/012.

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49

Schwarzkopf, O., and V. Schmidt. "Experimental determination of the absolute value of the triple differential cross section for double photoionization in helium." Journal of Physics B: Atomic, Molecular and Optical Physics 28, no. 14 (July 28, 1995): 2847–62. http://dx.doi.org/10.1088/0953-4075/28/14/008.

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50

Schwarzkopf, O., and V. Schmidt. "Experimental determination of the absolute value of the triple differential cross section for double photoionization in helium." Journal of Physics B: Atomic, Molecular and Optical Physics 29, no. 9 (May 14, 1996): 1877. http://dx.doi.org/10.1088/0953-4075/29/9/031.

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