Abstract.
We discuss and calculate parity conserving (PC) and parity violating (PV) geometric phases for the metastable 2S states of hydrogen and deuterium. The atoms are supposed to be subjected to slowly varying electric and magnetic fields which act as external parameters for the atoms. Geometric flux density fields are introduced which allow for an easy overview how to choose the paths in parameter space in order to obtain only PC or only PV geometric phases. The PV phases are calculated in the Standard Model of particle physics. Even if numerically they come out small they have interest of principle as a new manifestation of parity violation in atomic physics.
Similar content being viewed by others
References
T. Bergmann, T. Gasenzer, O. Nachtmann, Eur. Phys. J. D 45, 197 (2007)
M. DeKieviet, D. Dubbers, C. Schmidt, D. Scholz, U. Spinola, Phys. Rev. Lett. 75, 1919 (1995)
S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967)
A. Salam, in Proceedings of the Eighth Nobel Symposium on Elementary Particle Theory, edited by N. Svartholm (Almquist and Wiskell, Stockholm, 1968)
S. Glashow, L. Iliopoulos, L. Maiani, Phys. Rev. D 2, 1285 (1970)
O. Nachtmann, Elementary Particle Physics, Concepts and Phenomena (Springer, Berlin, 1990)
G.W. Botz, D. Bruss, O. Nachtmann, Ann. Phys. (NY) 240, 107 (1995); arXiv:hep-ph/9406222
J. Guena, M. Lintz, M. Bouchiat, Mod. Phys. Lett. A 20, 375 (2005)
W.M. Yao et al. (Particle Data Group), J. Phys. G 33, 1 (2006)
A. Airapetian et al. (HERMES), Phys. Rev. D 75, 012007 (2007)
S.D. Bass, Rev. Mod. Phys. 77, 1257 (2005); arXiv:hep-ph/0411005
E. Aschenauer, I. Flegel, CERN Cour. 46N3, 26 (2006)
F. Bradamante, A. Magnon, G. Mallot, CERN Cour. 46N6, 15 (2006)
L.N. Labzowsky, A.V. Shonin, D.A. Solovyev, J. Phys. B: At. Mol. Opt. Phys. 38, 265 (2005)
J. Sapirstein, K. Pachucki, K.T. Cheng, Phys. Rev. A 69, 022113 (2004)
D. Bruss, T. Gasenzer, O. Nachtmann, Eur. Phys. J. direct D 2, 1 (1999); arXiv:hep-ph/9802317
http://www.thphys.uni-heidelberg.de/bergmann/ fluxdensities.pdf
T. Gasenzer, Ph.D. thesis, Ruprecht-Karls-Universität, Heidelberg (1998), (unpublished)
H.E. Jackson (HERMES), AIP Conf. Proc. 842, 363 (2006); arXiv:hep-ex/0601006
U. Jentschura, S. Kotochigova, E. LeBigot, P. Mohr, B. Taylor, The energy levels of hydrogen and deuterium (version 2.1), National Institute of Standards and Technology, Gaithersburg, MD (2005), http://physics.nist.gov/HDEL
S.G. Karshenboim, Phys. Rep. 422, 1 (2005); arXiv:hep-ph/0509010
J. Erler, M.J. Ramsey-Musolf, Phys. Rev. D 72, 073003 (2005)
H. Flanders, Differential Forms, Vol. 11 of Mathematics in Science and Engineering (Academic Press, New York, 1963)
M.V. Berry, Proc. R. Soc. Lond. A 392, 45 (1984)
Author information
Authors and Affiliations
Corresponding author
Electronic supplementary material
Supplementary Online Material
Rights and permissions
About this article
Cite this article
Bergmann, T., Gasenzer, T. & Nachtmann, O. Metastable states, the adiabatic theorem and parity violating geometric phases II. Eur. Phys. J. D 45, 211–227 (2007). https://doi.org/10.1140/epjd/e2007-00259-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2007-00259-5