Abstract
The features of the bremsstrahlung appearing during a collision of a fast charged particle with a hydrogen atom (or hydrogenic ion) in an excited state are investigated. It is shown that the emission spectrum of photons with energies greater than the ionization potential of a given excited state (except the 2s state) displays narrow lines, which are caused by de-excitation of the atom in an intermediate state. It is demonstrated that the scattering of a charged particle on an excited hydrogen atom produces a feature which is not observed in the case of scattering on a ground-state hydrogen atom. Expressions are obtained for the generalized dynamic polarizability of the hydrogen atom and hydrogenic ions in the 1s, 2s, and 3s states. A method is developed for deriving expressions for the generalized dynamic polarizabilities of other excited states through the use of the Coulomb Green’s function and representation of the electronic wave function in terms of the differentiation of the generating functions of Laguerre polynomials. The bremsstrahlung cross sections for electrons and positrons colliding with hydrogen atoms in the 1s, 2s, and 3s states are calculated.
Similar content being viewed by others
References
A. I. Akhiezer and V. B. Berestetskii, Quantum Electrodynamics [Wiley, New York (1965); 4th ed., Nauka, Moscow (1981), 432 pp.].
R. H. Pratt, in Fundamental Processes in Energetic Atomic Collisions, edited by H. O. Lutz, J. S. Briggs, and H. Kleinpoppen [Plenum Press, New York (1983)], pp. 145–182.
V. N. Tsytovich and I. M. Oiringel (eds.), Polarization Bremsstrahlung [Plenum Press, New York (1992); Nauka, Moscow (1987), 335 pp.].
M. Ya. Amusia, Phys. Rep. 162, 145 (1988).
A. V. Korol and A. V. Solov’yov, J. Phys. B 30, 1105 (1997).
V. M. Buimistrov and L. I. Trakhtenberg, Zh. Éksp. Teor. Fiz. 69, 108 (1975) [Sov. Phys. JETP 42, 54 (1976)].
V. M. Buimistrov, Yu. A. Krotov, and L. I. Trakhtenberg, Zh. Éksp. Teor. Fiz. 79, 808 (1980) [Sov. Phys. JETP 52, 411 (1980)].
A. Duboius and A. Maquet, Phys. Rev. A 40, 4288 (1989).
V. A. Fock, The Principles of Quantum Mechanics [Mir, Moscow (1978); 2nd ed., Nauka, Moscow (1976), 376 pp.].
A. V. Korol, A. G. Lyalin, and A. V. Solov’yov, J. Phys. B 30, L115 (1997).
V. Yakhontov and K. Jungmann, Z. Phys. D At. Mol. Clusters 38(2), 141 (1996).
V. G. Gorshkov, Zh. Éksp. Teor. Fiz. 47, 352 (1964) [Sov. Phys. JETP 20, 234 (1965)].
B. A. Zon, N. L. Manakov, and L. P. Rapoport, Theory of Multiphoton Processes in Atoms [in Russian], Atomizdat, Moscow (1978), 184 pp.
Author information
Authors and Affiliations
Additional information
Zh. Tekh. Fiz. 69, 7–13 (October 1999)
Rights and permissions
About this article
Cite this article
Korol’, A.V., Obolenskii, O.I. & Solov’ev, A.V. Features of the bremsstrahlung accompanying collisions with a hydrogen atom in an excited state. Tech. Phys. 44, 1135–1140 (1999). https://doi.org/10.1134/1.1259487
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1134/1.1259487