Rainbows in Channeling of 1 GeV Protons in a Bent Very Short (11,9) Single-wall Carbon Nanotube
Abstract
In this work we investigate theoretically the spatial and angular distributions of protons channeled in a bent very short (11, 9) single-wall carbon nanotube. The initial proton kinetic energy is 1 GeV and the nanotube length 7 mu m. The nanotube bending angle is varied between 0 and 2 mrad. The calculations are performed employing the theory of crystal rainbows. The interaction of the proton and a nanotubes atom is described by the Molieres approximation of the Thomas-Fermi interaction potential. The spatial and angular distributions of transmitted protons are generated by the computer simulation method using the numerical solution of the proton equations of motion in the transverse position plane. They are explained by the rainbow patterns in the final transverse position and transmission angle planes, being the images of the spatial and angular rainbow patterns in the impact parameter plane, respectively. These patterns are also obtained numerically. We discuss the possibility of ap...plying bent carbon nanotubes for guiding ion beams in accelerators.
Keywords:
Ion channeling / carbon nanotubes / crystal rainbowsSource:
International Journal of Nonlinear Sciences and Numerical Simulation, 2010, 11, 12, 1131-1143Funding / projects:
- Ministry of Science and Technological Development of Serbia [151005B]
DOI: 10.1515/IJNSNS.2010.11.12.1131
ISSN: 1565-1339
WoS: 000288059700017
Scopus: 2-s2.0-79951714012
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Institution/Community
VinčaTY - JOUR AU - Nešković, Nebojša B. AU - Borka, Duško AU - Šopić, Sandra AU - Petrović, Srđan M. PY - 2010 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4238 AB - In this work we investigate theoretically the spatial and angular distributions of protons channeled in a bent very short (11, 9) single-wall carbon nanotube. The initial proton kinetic energy is 1 GeV and the nanotube length 7 mu m. The nanotube bending angle is varied between 0 and 2 mrad. The calculations are performed employing the theory of crystal rainbows. The interaction of the proton and a nanotubes atom is described by the Molieres approximation of the Thomas-Fermi interaction potential. The spatial and angular distributions of transmitted protons are generated by the computer simulation method using the numerical solution of the proton equations of motion in the transverse position plane. They are explained by the rainbow patterns in the final transverse position and transmission angle planes, being the images of the spatial and angular rainbow patterns in the impact parameter plane, respectively. These patterns are also obtained numerically. We discuss the possibility of applying bent carbon nanotubes for guiding ion beams in accelerators. T2 - International Journal of Nonlinear Sciences and Numerical Simulation T1 - Rainbows in Channeling of 1 GeV Protons in a Bent Very Short (11,9) Single-wall Carbon Nanotube VL - 11 IS - 12 SP - 1131 EP - 1143 DO - 10.1515/IJNSNS.2010.11.12.1131 ER -
@article{ author = "Nešković, Nebojša B. and Borka, Duško and Šopić, Sandra and Petrović, Srđan M.", year = "2010", abstract = "In this work we investigate theoretically the spatial and angular distributions of protons channeled in a bent very short (11, 9) single-wall carbon nanotube. The initial proton kinetic energy is 1 GeV and the nanotube length 7 mu m. The nanotube bending angle is varied between 0 and 2 mrad. The calculations are performed employing the theory of crystal rainbows. The interaction of the proton and a nanotubes atom is described by the Molieres approximation of the Thomas-Fermi interaction potential. The spatial and angular distributions of transmitted protons are generated by the computer simulation method using the numerical solution of the proton equations of motion in the transverse position plane. They are explained by the rainbow patterns in the final transverse position and transmission angle planes, being the images of the spatial and angular rainbow patterns in the impact parameter plane, respectively. These patterns are also obtained numerically. We discuss the possibility of applying bent carbon nanotubes for guiding ion beams in accelerators.", journal = "International Journal of Nonlinear Sciences and Numerical Simulation", title = "Rainbows in Channeling of 1 GeV Protons in a Bent Very Short (11,9) Single-wall Carbon Nanotube", volume = "11", number = "12", pages = "1131-1143", doi = "10.1515/IJNSNS.2010.11.12.1131" }
Nešković, N. B., Borka, D., Šopić, S.,& Petrović, S. M.. (2010). Rainbows in Channeling of 1 GeV Protons in a Bent Very Short (11,9) Single-wall Carbon Nanotube. in International Journal of Nonlinear Sciences and Numerical Simulation, 11(12), 1131-1143. https://doi.org/10.1515/IJNSNS.2010.11.12.1131
Nešković NB, Borka D, Šopić S, Petrović SM. Rainbows in Channeling of 1 GeV Protons in a Bent Very Short (11,9) Single-wall Carbon Nanotube. in International Journal of Nonlinear Sciences and Numerical Simulation. 2010;11(12):1131-1143. doi:10.1515/IJNSNS.2010.11.12.1131 .
Nešković, Nebojša B., Borka, Duško, Šopić, Sandra, Petrović, Srđan M., "Rainbows in Channeling of 1 GeV Protons in a Bent Very Short (11,9) Single-wall Carbon Nanotube" in International Journal of Nonlinear Sciences and Numerical Simulation, 11, no. 12 (2010):1131-1143, https://doi.org/10.1515/IJNSNS.2010.11.12.1131 . .