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Analytical approximation for oscillator strengths of H-like ions

Published online by Cambridge University Press:  09 March 2009

E. Minguez
E. Minguez
Affiliation:
Instituto de Fusión Nuclear (DENIM), José Gutiérrez Abascal, 2, 28006 Madrid, Spain
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Abstract

The main objective of this work is to find analytical formulas for the oscillator strength f of hydrogen-like ions. It is well known that f is proportional to the energy of the transitions between eigenstates (ΔE), and to the square of the R matrix. Therefore, the problem of calculating f can be reduced to finding analytical expressions for both parameters, ΔE and R. Hence these expressions would be in accordance with quantum results based on more sophisticated calculations.

Type
Research Article
Information
Laser and Particle Beams , Volume 8 , Issue 4 , December 1990 , pp. 709 - 714
Copyright
Copyright © Cambridge University Press 1990

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References

Bethe, H. A. & Salpeter, E. E. 1957 Quantum Mechanics for One-and Two-Electron Systems (Academic, New York).CrossRefGoogle Scholar
Minguez, E. et al. 1988 Laser Part. Beams 6, 265.Google Scholar
Minguez, E. & Gámez, L. 1990 Laser Part. Beams 8, 103.Google Scholar
More, R. M. 1982 J. Quant. Spectrosc. Radiat. Transfer 27, 345.Google Scholar
More, R. M. 1986 Laser-Plasma Interactions 3, Hooper, M. B., ed. (Camelot Press, Southampton, England), p. 157.Google Scholar
More, R. M. & Warren, K. H. 1988 J. Phys. 49, C7–59.Google Scholar
More, R. M. & Warren, K. H. 1989 Lawrence Livermore National Laboratory Report No. UCRL-102202.Google Scholar
Parker, G. W. 1986 Phys. Rev. A 33, 799.Google Scholar
Rose, S. J. 1982 Rutherford Appleton Laboratory Report No. RL82–114.Google Scholar
Sampson, D. H. et al. 1989 Phys. Rev. A 40, 604.Google Scholar
Stewart, J. & Pyatt, K. 1966 Astrophys. J. 144, 1203.Google Scholar
Velarde, G. et al. 1986 Laser Part. Beams 4, 349.Google Scholar
Yabe, T. & Goel, B. 1987 Kernforschungszentrum Karlsruhe Report No. KfK 4176.Google Scholar
Zeldovich, Ya. B. & Raizer, Yu. P. 1966 Physics of Shock Waves and High Temperature Hydrodynamic Phenomena (Academic, New York), Vol. I.Google Scholar
Zhang, H. L. et al. 1989 Phys. Rev. A 40, 616.Google Scholar