Abstract
The time-dependence of the population of muonic hydrogen states in hydrogen-helium mixtures is calculated for principal quantum number n. The number of muons transferred to helium nuclei is also determined. The dependence of the population of the ground state of muonic hydrogen q He1 s on time and target density and the helium concentration is also considered. The results are in agreement with recent experimental data. The comparison of the calculated yield of K lines of X-ray in pure hydrogen and deuterium with experimental data indicates the essential role of the Coulomb deexcitation process. Possible Stark mixing is also analysed.
Similar content being viewed by others
References
V.B. Belyaev, A. Bertin, Vit.M. Bystritsky, Vyach.M. Bystritsky, A. Gula, O.I. Kartavtsev, A.V. Kravtsov, A.V. Luchinsky, G.A. Mesyats, L.A. Rivkis, N.A. Rotakhin, A.A. Sinebryukhov, S.I. Sorokin, S.G. Stesenko, V.A. Stolupin, A. Vitale, J. Wozniak, Nukleonika 40, 85 (1995) and references therein.
V. Bystritsky, W. Czaplinski, N. Popov, Eur. Phys. J. D 5, 185 (1999).
W. Czaplinski, A. Kravtsov, A. Mikhailov, N. Popov, Phys. Lett. A 219, 86 (1996); Eur. Phys. J. D 3, 223 (1998); L.N. Bogdanova, S.S. Gershtein, L.I. Ponomarev, JETP Lett. 67, 99 (1998); Pis’ma Zh. Eksp. Teor. Fiz. 67, 89 (1998); F.M. Pen’kov, Phys. At. Nuclei 60, 897 (1997); Yad. Fiz. 60, 1003 (1997).
J.S. Cohen, Phys. Rev. A 59, 4300 (1999).
J.S. Cohen, Phys. Rev. A 27, 167 (1983); G.Ya. Korenman, Hyperf. Interact. 101/102, 81 (1996); G.A. Fesenko, G.Ya. Korenman, Hyperf. Interact. 101/102, 91 (1996).
W. Czaplinski, A. Gula, A. Kravtsov, A. Mikhailov, N. Popov, Phys. Rev. A 50, 525 (1994).
V.E. Markushin, Phys. Rev. A 50, 1137 (1994)
E.C. Aschenauer, V.E. Markushin, Z. Phys. D 39, 165 (1997).
M. Leon, H.A. Bethe, Phys. Rev. 127, 636 (1962).
L. Bracci, G. Fiorentini, Nuovo Cimento A 43, 9 (1978)
L.I. Ponomarev, E.A. Solov’ev, JETP Lett. 64, 135 (1996); Pis’ma Zh. Eksp. Teor. Fiz. 64, 129 (1996); JETP Lett. 68, 7 (1998); Pis’ma Zh. Eksp. Teor. Fiz. 68, 9 (1998); Hyperf. Interact. (in press)
A.V. Kravtsov, A.I. Mikhailov, Sov. Phys. JETP 80, 822 (1995); Zh. Eksp. Teor. Fiz. 107, 1473 (1995); Phys. Rev. A 58, 4426 (1998).
A. Kravtsov, A. Mikhailov, Phys. Rev. A 49, 3566 (1994).
H.A. Bethe, E.E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Academic Press, New York, 1957).
V.P. Popov, V.N. Pomerantsev, Hyperf. Interact. 101/102, 133 (1996); V.P. Popov (private communication).
V. Bystritsky, A. Kravtsov, N. Popov, Sov. Phys. JETP 70, 42 (1990); Zh. Eksp. Teor. Fiz. 97, 73 (1990); Muon Catal. Fusion 5/6, 487 (1990/91).
S. Tresch, P. Ackerbauer, M. Augsburger, W.H. Breunlich, M. Cargnelli, D. Chatellard, J.-P. Egger, T. von Egidy, B. Gartner, F.J. Hartmann, R. Jacot-Guillarmod, E. Jeannet, R. King, B. Lauss, J. Marton, M. Mühlbauer, F. Mulhauser, C. Petitjean, C. Piller, W. Prymas, L.A. Schaller, L. Schellenberg, H. Schneuwly, W. Schott, Y.A. Thalmann, A. Werthmüller, J. Zmeskal, Hyperf. Interact. (in press); Phys. Rev. A 58, 3528 (1998).
V.B. Bystritsky, A.V. Kravtsov, J. Rak, Hyperf. Interact. 82, 119 (1993).
S. Sakamoto, K. Ishida, T. Matsuzaki, K. Nagamine, Muon transfer from excited states of muonic hydrogen atoms studied by X-ray measurement with an advanced Si(Li) detector in Book of Abstracts of EXAT-98, Monte Verita, Ascona, Switzerland, 1998, PSI, p. 88; Hyperf. Interact. (in press).
B. Lauss, P. Ackerbauer, W.H. Breunlich, B. Gartner, M. Jeitler, P. Kammel, J. Marton, W. Prymas, J. Zmeskal, D. Chatellard, J.-P. Egger, E. Jeannet, H. Daniel, F.J. Hartmann, A. Kosak, C. Petitjean, Phys. Rev. Lett. 80, 3041 (1998).
M. Bregant, D. Chatellard, J.-P. Egger, P. Hauser, E. Jeannet, K. Kirch, F. Kottmann, E. Milotti, C. Petitjean, L.M. Simons, D. Taqqu, E. Zavattini, Phys. Lett. A 241, 344 (1998).
P.O. Egan, S. Dhawan, V.W. Hughes, D.C. Lu, F.G. Mariam, P.A. Souder, J. Vetter, G. Zu Putlitz, P.A. Thompson, A.B. Denison, Phys. Rev. A 23, 1152 (1981).
A. Placci, E. Polacco, E. Zavattini, K. Ziock, C. Carboni, U. Gastaldi, G. Gorini, G. Torelli, Phys. Lett. B 32, 413 (1970).
A. Anderhub, H. Hofer, F. Kottmann, P. LeCoultre, D. Makowiecki, O. Pitzurra, B. Sapp, P.G. Seiler, M. Walchli, D. Taqqu, P. Truttmann, A. Zehnder, Ch. Tschalar, Phys. Lett. B 71, 443 (1977).
H. Anderhub, J. Bocklin, M. Devereux, F. Dittus, R. Ferreira Marques, H. Hofer, H.K. Hofer, F. Kottmann, O. Pitzurra, P.G. Seiler, D. Taqqu, J. Unternahrer, M. Walchli, Ch. Tschalar, Phys. Lett. B 143, 65 (1984).
B. Budick, J.R. Toraskar, I. Yaghoobia, Phys. Lett. B 34, 539 (1971).
B. Lauss et al., Phys. Rev. A (1999, to be published).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bystritsky, V., Czapliński, W., Filipowicz, M. et al. Time-evolution of cascade processes of muonic atoms in hydrogen-helium mixtures. Eur. Phys. J. D 8, 75–83 (2000). https://doi.org/10.1007/s10053-000-9068-6
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10053-000-9068-6