Abstract.
A framework for analyzing the Doppler broadening of the X-ray lines in pionic hydrogen is proposed. It is shown that the kinetic energy distributions at the instant of the \(np\to1s\) (n = 2-4) radiative transitions are related to each other. In order to establish the connection, the collisional processes for pionic hydrogen scattering from hydrogen atoms and molecules have been calculated in different models. The proposed method can be used to determine reliably the strong interaction width of the ground state of pionic hydrogen from the X-ray line profiles measured recently at the Paul-Scherrer-Institut.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. Gotta, Prog. Part. Nucl. Phys. 52, 133 (2004)
S. Deser et al. , Phys. Rev. 96, 774 (1954)
J. Gasser et al. , Eur. Phys. J. C 26, 13 (2002)
H.C. Schröder et al. , Eur. Phys. J. C 21, 473 (2001)
D.F. Anagnostopoulos et al. , Nucl. Phys. A 721, 849c (2003)
M. Leon, H.A. Bethe, Phys. Rev. 127, 636 (1962)
E. Borie, M. Leon, Phys. Rev. A 21, 1460 (1980)
T.P. Terada, R.S. Hayano, Phys. Rev. C 55, 73 (1997)
V.E. Markushin, Phys. Rev. A 50, 1137 (1994)
T.S. Jensen, V.E. Markushin, Eur. Phys. J. D 19, 165 (2002)
T.S. Jensen, V.E. Markushin, Eur. Phys. J. D 21, 261 (2002)
T.S. Jensen, V.E. Markushin, Eur. Phys. J. D 21, 271 (2002)
T.S. Jensen, V.E. Markushin, in Precision Physics of Simple Atomic Systems, edited by S.G. Karshenboim, V.B. Smirnov, Lecture Notes in Physics 627 (Springer, Berlin, 2003), p. 37
J.S. Cohen, Phys. Rev. A 59, 1160 (1999)
L. Bracci, G. Fiorentini, Nuovo Cim. A 43, 9 (1978)
L.I. Ponomarev, E.A. Solov’ev, Hyperf. Interact. 119, 55 (1999)
S. Jonsell, J. Wallenius, P. Froelich, Phys. Rev. A 59, 3440 (1999)
A. Badertscher et al. , Europhys. Lett. 54, 313 (2001)
R. Pohl et al. , Hyperf. Interact. 138, 35 (2001)
R. Pohl et al. , in Precision Physics of Simple Atomic Systems, edited by S.G. Karshenboim et al. , Lecture Notes in Physics 570 (Springer, Berlin, 2001), p. 454
A.J. Rusi El Hassani et al. , Z. Phys. A 351, 113 (1995)
G. Kodosky, M. Leon, Nuovo Cim. B 1, 1 (1971)
J.S. Cohen, M.C. Struensee, Phys. Rev. A 38, 53 (1988)
K. Sakamoto, J. Phys. B: At. Mol. Opt. Phys. 35, 997 (2002)
G. Reifenröther, E. Klempt, Phys. Lett. B 248, 250 (1990)
J.C. Leclerc, J. Phys. B: At. Mol. Phys. 7, L281 (1974)
S. Fraga, B.J. Ransil, J. Chem. Phys. 35, 1967 (1961)
Author information
Authors and Affiliations
Corresponding author
Additional information
Received: 6 August 2004, Published online: 28 September 2004
PACS:
34.50.-s Scattering of atoms and molecules - 36.10.Gv Mesonic atoms and molecules, hyperonic atoms and molecules
Rights and permissions
About this article
Cite this article
Jensen, T.S. Kinetic energy distributions in pionic hydrogen. Eur. Phys. J. D 31, 11–19 (2004). https://doi.org/10.1140/epjd/e2004-00125-0
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2004-00125-0