Abstract
It is shown that the high-energy limit for the amplitude of the double-electron capture to the bound state of the Coulomb field of a nucleus with emission of a single photon is determined by the behavior of the wavefunction in the vicinity of the singular triple-coalescence point.
Similar content being viewed by others
References
J. H. Barlett, Phys. Rev. 51, 661 (1937).
V. A. Fock, Izv. Akad. Nauk SSSR, Ser. Fiz. 18, 161 (1954); K. Norske, Vidensk. Selsk. Forh 41, 138 (1958).
P. C. Abbott and E. N. Maslen, J. Phys. A 20, 2043 (1987); J. E. Gottschalk, P. C. Abbott, and E. N. Maslen, J. Phys. A 20, 2077 (1987); J. E. Gottschalk and E. N. Maslen, J. Phys. A 20, 2781 (1987).
C. R. Myers, C. J. Umrigar, J. P. Sethna, and J. D. Morgan III, Phys. Rev. A 44, 5537 (1991).
A. Warczak, M. Kucharski, Z. Stachura, et al., Nucl. Instrum. Methods Phys. Res. B 98, 303 (1995).
G. Bednarz, A. Warczak, P. Swiat, et al., Phys. Scr. T 92, 429 (2001).
G. Bednarz, A. Warczak, P. Swiat, et al., Nucl. Instrum. Methods Phys. Res. B 205, 573 (2003).
V. L. Yakhontov and M. Ya. Amusia, Phys. Rev. A 55, 1952 (1997).
A. I. Mikhailov, I. A. Mikhailov, A. V. Nefedov, et al., Phys. Lett. A 328, 350 (2004).
A. B. Voitkiv, B. Najjari, N. Toshima, and J. Ulrich, J. Phys. B 39, 3403 (2006).
T. Aberg, Phys. Rev. A 2, 1726 (1970).
T. Kato, Commun. Pure Appl. Math. 10, 151 (1957).
E. G. Drukarev, A. I. Mikhailov, I. A. Mikhailov, and W. Scheid, Phys. Rev. A (in press).
Author information
Authors and Affiliations
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Drukarev, E.G., Mikhailov, A.I., Mikhailov, I.A. et al. Triple-coalescence singularity in a dynamical atomic process. Jetp Lett. 86, 702–704 (2008). https://doi.org/10.1134/S0021364007230038
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0021364007230038