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150 keV, McNeal [2] for 1 keV to 25 keV and Kusakabe et al [3] for 0.2 keV to 4.2 keV. Kimura et al [4] ... cross section within the energy range of 3 keV to 10 keV. .... 13.504. 10. 12.1792. 0.1728. 0.09262. 12.4352. Energy (keV). CH4. +. CH3. +.
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ScienceDirect Physics Procedia 90 (2017) 391 – 398

Conference on the Application of Accelerators in Research and Industry, CAARI 2016, 30 October – 4 November 2016, Ft. Worth, TX, USA

Ionization and electron capture for ‫ܪ‬ା collisions with ‫ ܱܥ‬at low keV energy J. López-Patiñoa, B. E. Fuentesa*, F. B. Yousifb and H. Martínezc a

b

Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad de México, México. Instituto de Ciencias, Centro de Investigación en Ciencias, Universidad Autónoma del Estado de Morelos, Cuernavaca, Morelos, México. c Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Cuernavaca, Morelos, México.

Abstract We have investigated the total relative ionization and dissociative electron capture cross section for proton collisions with ‫ܱܥ‬ within the energy range of 2 keV to 10 keV. Time of flight mass spectroscopy was employed in the measurements of‫ܱܥ‬ା ,ܱ ା and‫ ܥ‬ା and the contribution of the different channels was evaluated. Ionization was found to be the dominant reaction channel as expected, while the‫ ܥ‬ା ionic fragments intensity was found to be higher than those ofܱ ା . © 2017 2017Published The Authors. Published Elsevier B.V.access article under the CC BY-NC-ND license © by Elsevier B.V.by This is an open Peer-review under responsibility of the Scientific Committee of the Conference on the Application of Accelerators in Research (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer-review under responsibility of the Scientific Committee of the Conference on the Application of Accelerators in Research and Industry and Industry. Keywords: Experimental Physics, spectroscopy, ionization, Electron capture, low energy collision physics, Martian atmosphere.

1. Introduction Protons among other ions are the primary constituents of the solar wind and are important in diagnosing photon emission from distant objects. In order to model this emission from bodies exposed to the solar wind (e.g., comets and planetary upper atmospheres), relative, absolute and differential cross sections of fragment ions are needed for each incident solar-wind ion and charge state. Since ‫ ܱܥ‬is one of the major constituents of the comet’s neutral atmosphere near the Sun, has a large ionization potential (14.0139 eV), and the solar photoionization rates are low, charge exchange in collisions of solar-wind ‫ ܪ‬ା ions with ‫ ܱܥ‬is the main mechanism for the production of‫ܱܥ‬ା .

* Corresponding author. Tel.: +525556224845. E-mail address: [email protected]

1875-3892 © 2017 Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer-review under responsibility of the Scientific Committee of the Conference on the Application of Accelerators in Research and Industry doi:10.1016/j.phpro.2017.10.001

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Due to its fundamental interest, the data are important for our understanding of the interaction of the solar wind with comet type atmospheres in order to have a clear image of the charge exchange observed in the interaction of protons with gases in comets. Charge-exchange cross sections have been reported previously and mostly for total electron capture. Nevertheless, when data are needed for a specific application, there is the need for new measurements when: either the energy range has not been covered, discrepancy among researchers, or the need for fragments channels and ratios. High energy measurements have been reported for the total cross section. For example, Rudd et al [1] at 5 keV to 150 keV, McNeal [2] for 1 keV to 25 keV and Kusakabe et al [3] for 0.2 keV to 4.2 keV. Kimura et al [4] reported the results of an ab initio calculation of the ‫ ܪ‬ା ൅ ‫ ܱܥ‬reaction. In particular, the theory shows a slow broad plateau in the cross section within the energy range of 3 keV to 10 keV. Cadez et al [5] reported total proton–electron capture cross sections at energies between 2.5 keV and 7 keV on‫ܱܥ‬, Lindsay et al [6] reported total electron capture for 1 keV to 5 keV for ‫ܪ‬ା ൅ ‫ܱܥ‬, and Gao et al [7] for 1.5 keV for ‫ ܪ‬ା ൅ ‫ܱܥ‬. Berkner et al [8] measured the total cross section between 0.15 keV to 10 keV. We know of several experimental investigations for ionization and electron capture leading to ‫ ܱܥ‬ା ,‫ ܥ‬ା , and ܱା : the first is that of Browning and Gilbody [9] for 5 keV and 45 keV, the second is that of Shah and Gilbody [10] for 10 keV to 98 keV and the third is that of Afrosimov et al [11] for 5 keV to 50 keV. A similar investigation was undertaken by Knudsen et al [12], however, for the higher energy of 50 keV to 6000 keV. The present work illustrates detailed measurements of the relative dissociative electron capture for the ‫ ܪ‬ା ൅ ‫ܱܥ‬ collisions within the energy range of 2 keV to 10 keV. We have investigated previously the ionization and dissociative electron capture and ionization of ‫ܪܥ‬ସ [15] and ‫ܱܥ‬ଶ [14] by proton impact employing a pulsed interaction region technique and time of flight mass spectroscopy. In the present work, we use the same method to investigate the low keV energy ionization and dissociative electron capture of carbon monoxide by proton impact.

2. Experimental apparatus and procedure In our previous work [13-15] we have given details of the experimental apparatus as well as the experimental procedure. Both projectile ions and resulting neutrals as well as the pulsed and accelerated target ions and fragments are then detected using time of flight mass spectroscopy. The proton beam was constantly monitored and recorded. The mass scale of the spectrum is calibrated and the efficiency of detection was evaluated. Background signal was taken into account in evaluating the absolute cross sections after normalization to previously measured total cross sections. 3. Results and analysis A typical time of flight (TOF) spectra for protons in collisions with ‫ ܱܥ‬is shown in figure 1, and it illustrates a satisfactory level of resolution as well as channels ‫ܱܥ‬ା , ‫ ܥ‬ା , and ܱ ା . The observed TOF spectra include the contribution from the ‫ ܱܥ‬ionization and dissociation and the contribution from the background. The presence of ܰଶ and ‫ܪ‬ଶ ܱ in the vacuum chamber contribute to the background signal. The background spectra is recorded and subtracted from the spectra of the ‫ ܱܥ‬gas. The small contribution of ܰଶା and any signal from the presence of ‫ܪ‬ଶ ܱ was found to be below the detection limit. The ܰଶା contribution to the total signal was taken into account in evaluating the relative total cross sections of the fragment ions. To obtain the relative cross sections, first the background was removed from all the peak areas; then, for all the collisional energies, a normalization was made to the same proton current and target gas pressure.

J. López-Patiño et al. / Physics Procedia 90 (2017) 391 – 398

2000 +

Signal (a.u.)

CO

1000

C

+ +

O

0 0

10

20

30

40

50

60

70

TOF (Ps)

Figure 1. TOF spectra showing the fragments with background contribution removed.

The contribution from the tail of the overlapping peaks of ‫ ܥ‬ା and ܱା as seen in figure 1, was de-convoluted employing a peak fitting software. Cross sections (CSs) have been determined for the following processes involving ‫ ܪ‬ା െ ‫ ܱܥ‬collisions and mainly leading to ionization of ‫ ܱܥ‬and fragments of ‫ ܥ‬ା and ܱା ions: x

non-dissociative electron capture ‫ ܪ‬ା ൅ ‫ ܱܥ‬՜ ‫ ܱܥ‬ା ൅ ‫ܪ‬

x

dissociative electron capture ‫ ܪ‬ା ൅ ‫ ܱܥ‬՜ ‫ ܥ‬ା ൅ ܱ ൅ ‫ܪ‬ ‫ ܪ‬ା ൅ ‫ ܱܥ‬՜ ‫ ܥ‬൅ ܱ ା ൅ ‫ܪ‬

x

dissociative transfer ionization ‫ ܪ‬ା ൅ ‫ ܱܥ‬՜ ‫ ܪ‬൅ ‫ ܥ‬ା ൅ ܱ ା ൅ ݁

x

cross section for the following processes involving ionization have been considered ‫ ܪ‬ା ൅ ‫ ܱܥ‬՜ ‫ ܪ‬ା ൅ ‫ܱܥ‬ା ൅ ݁ ; ‫ ܪ‬ା ൅ ‫ ܱܥ‬՜ ‫ ܪ‬ା ൅ ‫ ܥ‬ା ൅ ܱ ൅ ݁ ; ‫ ܪ‬ା ൅ ‫ ܱܥ‬՜ ‫ ܪ‬ା ൅ ‫ ܥ‬൅ ܱା ൅ ݁

Other ions were not detected within our energy range.

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The errors considered in our experiment can be found in references [13-15] since the same apparatus was used. Mainly they are due to statistical uncertainties, to average pressure measurements, to the proton beam intensity and variations of the gas pressure. Adding to that, an estimated, error of 10 % due to the normalization procedure was introduced. As the experimental apparatus does not distinguish between the origins of the processes leading to the same detected ion, the measurements are for the total relative ionization (pure ionization and transfer ionization) and for the total relative dissociative fragments CSs, that includes dissociative ionization and dissociative electron capture CSs. Our measured relative cross sections were normalized to the total cross section of Browning and Gilbody [9] at 10 keV according to the following procedure: Since very few of the incident protons produce ions under single collision conditions, the total cross section is given by ߪሺܺሻ ൌ ܰ௜ ሺܺሻΤܰ௘ , where ܰ௜ ሺܺሻ is the number of ܺ ions produced by a number ܰ௘ of protons passing a distance ݈ through a uniform gas target of number density݊. Using the cross section of [9] at 10 keV, we obtain the ݈݊ value, so for a particular ionic species the cross section can be determined. This is done using the area under each peak for any particular ionic species. However, at the lower impact energies considered in the present work, a significant yield of secondary ions may arise through collisions involving both charge transfer and ionization [9]. Although it is not possible to make a precise assessment of the relative importance of these two processes, a comparison of the magnitude and energy dependence of our measured cross sections for the formation of these ions with well-established total charge transfer data [16,17], shows that charge transfer becomes dominant at the lowest energies considered in the present measurements. Figure 2 shows our measured absolute total ionization and dissociative electron capture cross section for ‫ ܪ‬ା ൅ ‫ܱܥ‬. It can be seen that the ‫ܱܥ‬ା channel is the dominant channel and the cross section is hardly changing within our energy range. A similar trend has been observed by Browning and Gilbody [9] and Shah and Gilbody [10]. Next in size are the cross sections for ‫ ܥ‬ା and ܱା . At energies below 5 keV, both are close in value and are about the same at 2 keV. It is well known that the production of atomic ions of ‫ ܥ‬ା and ܱା at low collisional energy, mainly comes from the dissociation of ‫ܱܥ‬ା with the probability of ‫ ܥ‬ା ൅ ܱ higher than that of ‫ ܥ‬൅ ܱ ା [18]. The excitation of the ‫ܱܥ‬ା to a repulsive state leading to ‫ ܥ‬ା ൅ ܱ and ‫ ܥ‬൅ ܱ ା requires the expenditure of energy. Therefore, in transitions that obey the Frank-Condon principle it is expected that the relative probability of the ‫ܱܥ‬ା dissociation will be reduced as the collisional energy decreases. The ionization potential of the oxygen atom exceeds that of carbon atom by 2.36 eV, the discrete vibrational spectrum of ሺ‫ ܥ‬൅ ܱା ሻ bound state must overlap the continuous spectrum of ሺ‫ ܥ‬ା ൅ ܱሻ [18]. This permits the predissociation processes that lead to the dominances of ‫ ܥ‬ା production at least at energies higher than 4 keV, as seen in figure 3 with the ratio of ‫ ܥ‬ା Τܱା decreasing from 1.6 to 1.2 as the energy decreases down to 3 keV taking into account the statistical uncertainty in the data.

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-16

2

Absolute cross section (10 cm )

10

+

C + O + CO Total

1

0.1

1

2

3

4

5

6

7

8

9

10

11

Energy (keV)

Figure 2. Total absolute ionization and dissociative electron capture cross sections for ionic fragments for ‫ ܪ‬ା ൅ ‫ ܱܥ‬collisions.

As seen in figure 2, our total absolute cross section for the sum of ionization and fragmentation shows a minor increase as the energy decreases from 10 keV to 2 keV. However, ‫ ܥ‬ା and ܱା data of Browning and Gilbody [9] show a flat region as the energy decreases down to 10 keV and falls down as the energy decreases to 5 keV. Equally Afrosimov et al [11] for 5 keV to 50 keV show a decrease in the cross section of ‫ ܥ‬ା and ܱ ା as the energy decreases below 10 keV. Nevertheless, our present data for ‫ ܥ‬ା and ܱା show a modest increase as the energy is decreased reaching a maximum at around 3 keV to 4 keV. Below that ‫ ܥ‬ା and ܱା show a decreasing trend. We have plotted our present absolute total cross section data in figure 3 with those of previously measured data for comparison. It can be seen that our present data fit very well and connect with data at higher energies. Our present data agree well with those of McNeal [2], Kusakabe et al [3], Cadez et al [5], and Lindsay et al [6] and connect with those of Afrosimov et al [11]. However, the present data as seen in figure 3, show some cross section fluctuation in a value between ͳʹ ൈ  ͳͲିଵ଺ cm2 and ͳͷ ൈ  ͳͲିଵ଺ cm2 which cannot be attributed totally to statistical errors. Similar resonances were observed in our previous investigations on ܰଶ െ ܱଶ [16],‫ܱܥ‬ଶ [17] and ‫ܪܥ‬ସ [18]. Lindsay et al [6] observed such resonances for 1 keV ‫ ܪ‬ା on ‫ ܱܥ‬. Similar resonances were attributed to a combination of various interference effects by Gao et al [7]. Also differential cross section data calculations employing the molecular orbital (MO) approach at 1.5 keV ‫ ܪ‬ା by Kimura et al [4] on ‫ ܱܥ‬show strong resonances below 1 degree laboratory angle. Kimura et al [4] indicate that these resonances may arise from quantum and classical effects involving the attractive and repulsive parts of the potential surfaces relevant to collisions such as diffraction and rainbow scattering.

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Table 1: data from our previous publications [13-15] for ܰଶ , ܱଶ , ‫ܱܥ‬ଶ and ‫ܪܥ‬ସ targets for total, ionization and fragmentation cross sections in 10-16 cm2.

Energy (keV) 2 3 4 5 6 7 8 9 10

CO+ 14.9 12.9088 12.992 15.2 13.8 14.976 13.0112 13.2672 12.1792

C+ 0.224 0.32 0.4288 0.3008 0.2688 0.1856 0.16 0.1472 0.1728

O+ 0.11614 0.16 0.11584 0.16669 0.112 0.06754 0.04949 0.09581 0.09262

Energy (keV) 2 3 4 5 6 7 8 9 10

CH4+ 22.97 12.13 11.34 12.13 12.54 9.58 8.1 7.08 5.6

CH3+ 12.54 7.8 5.4 7.1 5.8 4.9 4.14 4.13 4.13

CH2+ 0.72 0.36 0.32 0.41 0.61 0.39 0.32 0.31 0.32

CH+ 0.096 0.086 0.12 0.15 0.21 0.19 0.18 0.12 0.14

C+ 0.036 0.031 0.028 0.047 0.052 0.068 0.049 0.068 0.056

H+ 0.0039 0.0015 0.0019 0.0019 0.0019 0.0025 0.0039 0.0097 0.0097

Total CS 36.4 20.44 17.23 19.82 19.21 15.14 12.8 11.73 10.26

Energy (keV) 2. 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5

CO2+ 14.88272 15.38125 14.88272 13.04504 10.35812 8.22463 7.95806 5.7242 7.70013 7.95806 6.74934 5.01739 6.74934 3.85482 2.68289 5.18546

CO+ 0.08436 0.12121 0.22668 0.19869 0.17416 0.14292 0.12527 0.09011 0.12527 0.1338 0.1098 0.10624 0.17999 0.1098 0.1028 0.1338

O2+ 0.028 0.041 0.067 0.065 0.061 0.038 0.034 0.032 0.041 0.037 0.036 0.026 0.041 0.025 0.014 0.038

O+ 0.02 0.029 0.039 0.037 0.04 0.021 0.023 0.017 0.024 0.029 0.028 0.018 0.033 0.021 0.019 0.019

C+ 0.003 0.005 0.004 0.004 0.003 0.0026 0.0035 0.0059 0.0063 0.0056 0.0063 0.0039 0.0069 0.003 0.0042 0.0045

CO2++

Total CS 15.02 15.6 15.2 13.35 10.64 8.4 8.2 5.9 7.9 8.2 6.9 5.2 7 4 2.8 5.4

Energy (keV) 2 3 4 5 6 7 8 9 10

O+ 1.82332 1.76225 2.1833 1.82332 1.54412 1.15099 1.66199 2.09638 2.45291

O2+ 8.96312 9.12204 10.92942 10.28983 11.92272 7.65139 5.89525 5.93943 5.35199

Total CS 10.78644 10.88429 13.11272 12.11315 13.46684 8.8854 7.65139 8.03181 7.71294

Energy (keV) 2 3 4 5 5.5 6 7 7.5 8 8.5 9 9.5 10

N+ 1.3693 1.93542 3.02108 2.70858 2.8942 2.12687 3.80535 2.41096 1.54393 2.38196 2.52831 1.8286 1.54393

N2+ 16.65579 15.61189 9.69677 8.51101 7.13207 7.0705 10.28302 9.98302 11.1615 8.74684 7.92245 7.19424 7.13207

Total CS 18.02509 17.54732 12.71785 11.21958 10.02627 9.19737 14.08837 12.39398 12.70543 11.1288 10.45076 9.02285 8.676

1

Total CS 15.1 13.3248 13.536 14.7 14.2 15.2256 13.216 13.504 12.4352

0.0025 0.0036 0.0044 0.0061 0.005 0.0047 0.0079 0.0087 0.0096 0.0152 0.012 0,0087 0.017

J. López-Patiño et al. / Physics Procedia 90 (2017) 391 – 398

Figure 3. Absolute cross section as a function of the proton energy.

In general, the total cross sections previously measured by other groups for proton impact, are basically a measure of the fast neutrals resulting from all the processes involved. This may obscure any structures that may arise from different dissociation paths in contrast to our present total cross section, which is the sum of the total absolute cross sections of the fragments and any structure in the cross section would be the result of interference between the competing paths. Nevertheless, our present apparatus does not distinguish between the origins of the processes leading to the same detected slow ion and each fragment ion measured would be the result of the total ions originating from all the processes leading to that particular ion. As a result, further investigations at energies below 5 keV would be needed to verify such observations. 4. Conclusions We report the fragmentation cross section for ‫ ܱܥ‬in collisions with protons in the low energy region of 2 keV to 10 keV. TOF spectra show ionization to be the dominant reaction over all of the energy range of 2 keV to 10 keV, followed by descending intensity of fragments of ‫ ܥ‬ା and ܱା respectively. ‫ ܥ‬ା and ܱା fragments cross sections show a slow decrease above 4 keV collisional energy. The total cross section shows a minor decreasing trend as the collisional energy was increased. Our total cross sections show fluctuations in the cross section measurements between 4 keV and 7 keV which is explained as an interference in the fragments competing cross sections and confirms the observations made by theoretical and experimental differential cross sections of prior investigators. Our total cross sections overlap well with previously measured absolute total cross sections reported by other groups.

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Aknowledgment We appreciate the participation and technical assistance of Dalila Martinez in this work. This work was partially supported by DGAPA- PAPIIT- IN-116909, CONACyT Scholarship for the PhD student J. López-Patiño. In part by the Programa de Mejoramiento del Desarrollo del Profesorado (PRODEP).

References [1] Rudd ME, DuBois RD, Toburen LH, Ratcliffe CA, Goffe TV. Cross sections for ionization of gases by 5-4000-keV protons and for electron capture by 5-150-keV protons. Phys Rev A 1983; 28(6): 3244-3257. [2] McNeal RJ. Production of Positive Ions and Electrons in Collisions of 1–25ǦkeV Protons and Hydrogen Atoms with ‫ܱܥ‬, ‫ܱܥ‬ଶ , ‫ܪܥ‬ସ , and ܰ‫ܪ‬ଷ . J Chem Phys 1970; 53(11): 4308-4313. [3] Kusakabe T, Asahina K, Gu JP, Hirsh G, Buenker RJ, Kimura M, Tawara H, Nakai Y. Charge-transfer processes in collisions of ‫ ܪ‬ା ions with ‫ܪ‬ଶ , ‫ܦ‬ଶ , ‫ܱܥ‬, and ‫ܱܥ‬ଶ molecules in the energy range 0.2–4.0 keV. Phys Rev A 2000, 62(6): 062714. [4] Kimura M, Gu JP, Hirsch G, Buenker RJ, Stancil PC. Electron capture in collisions of protons with ‫ ܱܥ‬molecules in the keV region: The steric effect. Phys Rev A 2000, 61(3): 032708. [5] Cadez I, Greenwood JB, Chutjian A, Mawhorter RJ, Smith SJ, Nimura M. Absolute cross sections for charge-exchange in ଷ‫ ݁ܪ‬ଶା and ‫ ܪ‬ା impact on ‫ܱܥ‬. J Phys B At Mol Opt Phys 2002; 35(11): 2515–2524. [6] Lindsay BG, Yu WS, Stebbings RF. Cross sections for charge-changing processes involving kilo-electron-volt ‫ ܪ‬and ‫ ܪ‬ା with ‫ ܱܥ‬and ‫ܱܥ‬ଶ . Phys Rev A 2005; 71(3): 1-9, 032705. [7] Gao RS, Johnson LK, Hakes CL, Smith KA, Stebbings RF. Collisions of kilo-electron-volt ‫ ܪ‬ା and ‫ ݁ܪ‬ା with molecules at small angles: Absolute differential cross sections for charge transfer. Phys Rev A 1990; 41(11): 5929-5933. [8] Berkner KH, Pyle RV, Stearns JW. Cross-sections for electron capture by 0.3-to 70-keV deuterons in ‫ܪ‬ଶ , ‫ܪ‬ଶ ܱ, ‫ܱܥ‬, ‫ܪܥ‬ସ and ‫ܨ ଼ܥ‬ଵ଺ gases. J Nucl Fusion 1970;10(2): 145-149. [9] Browning R, Gilbody HB. Fragmentation of molecular gases by 5-45 keV protons. J Phys B At Mol Phys 1968; 1(6): 1149-1156. [10] Shah MB, Gilbody HB. Ionisation and electron capture in collisions of ‫ ܪ‬ା and ‫ ݁ܪ‬ଶା ions with carbon monoxide. J Phys B At Mol Opt Phys 1990; 23(9): 1491-1499. [11] Afrosimov VV, Leiko GA, Mamaev YA, Panov MN, Vuiovich M. Interaction of protons and hydrogen atoms with ‫ ܱܥ‬molecules. Sov Phys JETP 1974; 38: 243. [12] Knudsen H, Mikkelsent U, Paludan K, Kirsebom K, Moller SP, Uggerhoj E, Slevin J, Charlton M, Morenzoni E. Non-dissociative and dissociative ionization of ܰଶ , ‫ܱܥ‬, ‫ܱܥ‬ଶ and ‫ܪܥ‬ସ by impact of 50-6000 keV protons and antiprotons. J Phys B At Mol Opt Phys 1995; 28: 3569-3592. [13] López-Patiño J, Fuentes BE, Yousif FB, Martínez H. Low energy ionization and fragmentation cross sections for ‫ ܪ‬ା impact on ܰଶ and ܱଶ . Int J of Mass Spectros 2016; 405: 59-63. [14] López-Patiño J, Fuentes BE, Yousif FB, Martínez H. Relative Differential Cross Section Measurements in ‫ ܪ‬ା െ ‫ܱܥ‬ଶ Low Energy Collisions. Int J Phys Astron 2015; 3(2): 23-35. [15] Fuentes BE, López-Patiño J, Yousif FB, Martínez H. Ionization and fragmentation of ‫ܪܥ‬ସ by proton impact. Int J of Mass Spectros 2016; 411: 21-26. [16] Gilbody HB, and Hasted JB. Anomalies in the Adiabatic Interpretation of Charge-Transfer Collisions. Proc. R. Soc London A; 1957, 238: 334 – 343. [17] De Heer FJ, Schutten J, Moustafa H. Ionization and electron capture cross sections for protons incident on noble and diatomic gases between 10 and 140 keV. Physica 1996; 32(10): 1766 – 1792. [18] Locht R. The dissociative ionization of carbon monoxide. Chem Phys 1977; 22(1): 13-27.

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