Excitation of Hydrogen Atoms by Fast Protons
Date of Award
Master of Science (MS)
G. S. Khandelwal
Ian D. Howard
Grayson. H. Rayborn
Call Number for Print
Special Collections LD4331.P48F57
In this thesis a theoretical study is made of excitation of hydrogenic atom by charged particles such as protons or electrons. The approximation to the cross section for an inelastic scattering process is obtained under the following radically simplifying assumptions. The projectile is represented in its initial and final state by plane waves. All distortions are neglected whether they originate in an inelastic process or an elastic deflections of the charged particle by the nucleus. The perturbation of the atomic orbits between which the projectile induces transitions is neglected. Nonrelativistic hydrogenic wave functions are used for the electronic states. In this so called Plane Wave Born Approximation (PWBA), an expression for the radial integral associated with a transition from an initial state n' ℓ' m' to a final state nℓm is developed as a power series of the momentum transferred by the incident charged particle to the hydrogenic atom. Explicit expressions for the atomic form factor as a function of the momentum transfer associated with the transitions from 2s and 2p states of the hydrogen atom are obtained. Formulas for the coefficients in the series expansion are obtained for allowed transitions (2s-np,2p-ns,2p-nd) and the forbidden transitions (2s-ns,2s-nd,2s-nf,2p-np) . A comparison is made between the form factors for ls-2s and 2s-3p transitions in the neighborhood of q2 = o. Good agreement has been found between the exact and series formulas for low momentum transfer.
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Fitchard, Edward E..
"Excitation of Hydrogen Atoms by Fast Protons"
(1970). Master of Science (MS), Thesis, Physics, Old Dominion University, DOI: 10.25777/7gwe-5j17