Positron Annihilation in Resonant States of the He²⁺ + e^- + e⁺ System

Abstract:

• Periodical: Materials Science Forum (Volumes 445-446)
• Pages: 446-448
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.445-446.446
• Online since: January 2004
• Authors: Yukio Toya, Yasushi Kino, Hiroshi Kudo
• Keywords: Few-Body Calculations, Positron Annihilation, Positronic Atom, Resonant States

References

[1] A. K. Bhatia and R. J. Drachman, Phys. Rev. A 42, 5117 (1990).

[2] Y. K. Ho, Phys. Rev. A 53, 3165 (1996).

[3] A. Igarashi and Shimamura, Phys. Rev. A 56, 4733 (1997).

[4] B. H. Bransden, C. J. Noble and R. J. Whitehead, J. Phys. 34, 2267 (2001).

[5] Y. K. Ho and Z.-C. Yan, Phys. Rev. A 66, 062705 (2002).

[6] M. Kamimura, Phys. Rev. A 38, 621 (1988).

[7] Y. K. Ho, Phys. Rep., 99, 1 (1983).

[8] Y. Toya, Ph. D. thesis, Tohoku University, Japan, (2003) to be published.

[9] E. Brändas and P. Froelich, Phys. Rev. A 16, 2207 (1977). 0.00 0.01 0.02 0.03 0.04 -0.4 -0.3 -0.2 -0.1 E r (au) 0.00 0.01 0.02 0.03 0.04 1 1.2 1.4 1.6 1.8 2 Z 0.0 0.1 0.2 0.3 0.4 0.6 0.8 1 m Ps (au) Figure 4. Electron density at the positron position. (a) Resonant energy dependence of the He 2+ + e – + e + system. (b) Helium nuclear charge dependence and (c) Ps reduced mass dependence of the lowest resonant state. Error bars show the uncertainty mentioned above. Dashed line shows �(mPs =1)mPs 3 which demonstrates the Ps is in the same quantum states as H in HeH 2+. 4 Title of Publication (to be inserted by the publisher)

[10] E. Hiyama, Y. Kino and M. Kamimura, Prog. Part. Nucl. Phys. 50, 223 (2003).

[11] T. Berggren, Phys. Lett. B 373, 1 (1996).

[12] N. Yamanaka, private communications.