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Irreversibility and Causality Semigroups and Rigged Hilbert Spaces pp 293–310Cite as

CP-violation problem beyond the standard lee-oehme-yang theory

  • Exact Quantum Theory Of The Neutral K-System — Hilbert Space Versus Rigged Hilbert Space Formulation
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Part of the book series: Lecture Notes in Physics ((LNP,volume 504-504))

Abstract

The CP-violation problem is investigated in the exact Quantum Theory (QT) beyond the Lee-Oehme-Yang (LOY) theory, which is usually used and which is based on the famous Weisskopf-Wigner (W.W.) approximation. New unconditional CP-violation effects were derived, independent of the ones known before, as well as new unconditional tests of the CPT- and T-invariances and new results for the K 0, \(\bar K^0\) correlations were found. On the base of these new theoretical results, propositions for experiments at CP LEAR and the φ-B factories are given. The new results are interesting not only for the CP-violation problem itself, but also provide possibilities for testing the violation of the standard quantum dynamics connected with ideas of quantum gravity, and for testing the Rigged Hilbert Space (RHS) formulation of QT. In this paper the standard Hilbert Space (HS) formulation of QT is used.

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References

  1. J. H. Cristensen, J. W. Cronin, V. L. Fitch and R. Turlay, Phys. Rev. Lett., v.13, 138 (1964).

    Article  Google Scholar 

  2. The DAφNE PHYSICS HANDBOOK, L. Maiani, G. Pancheri and N. Paver, eds. (INFN, Frascati, 1992).

    Google Scholar 

  3. P. K. Kabir, Phys. Rev., D2, 540 (1970).

    Google Scholar 

  4. G. V. Dass, Phys. Rev., D45, 980 (1992).

    Google Scholar 

  5. Leonid A. Khalfin, “On the Test of Superposition”, preprint Research Institute for Theoretical Physics, The University of Helsinki, HU-TFT-92, Helsinki, March 1992.

    Google Scholar 

  6. Leonid A. Khalfin, — in Abstracts of reports on the XIX International Colloquium on Group Theoretical Methods in Physics, v. 1, 25 (1992), Salamanka (Spain).

    Google Scholar 

  7. J. Ellis, J. S. Hagelin, D. N. Nanopouls and M. Srednicki, Nucl. Phys., B241, 381 (1984).

    Article  Google Scholar 

  8. J. Ellis, N. E. Mavromatos and D. N. Nanopoulos, Phys. Lett., B293, 142 (1992).

    MathSciNet  Google Scholar 

  9. Patrick Huet and Michael E. Peskin, “Violaton of CPT and Quantum Mechanics in the K 0-\(\bar K^0\) System”, preprint SLAC-PUB-6454, March 1994. Nucl. Phys., B434, 3 (1995).

    Article  Google Scholar 

  10. P. Eberhard, “Tests of Quantum Mechanics at a φ-factory”, report at EURODAφNE Collaboration Meeting, Frascati, April 19–22, 1994.

    Google Scholar 

  11. N. Mavromatos, “Violations of Quantum Mechanics and CPT from Plankian Scale Physics at DAφNE”, report at EURODAφNE Collaboration Meeting, Frascati, April 19–22, 1994.

    Google Scholar 

  12. Leonid A. Khalfin and Boris S. Tsirelson, Found. Phys., v.22, 879 (1992).

    Article  MathSciNet  Google Scholar 

  13. Weisskopf-Wigner approximation and the CP-violation problem”, preprint LOMI, P-4-80, Leningrad, 1980.

    Google Scholar 

  14. L. A. Khalfin, — in Proceedings of Seminar “Group Theoretical Methods in Physics”, M. Markov ed., v.2, 608, “Nauka”, M., 1986.

    Google Scholar 

  15. L. A. Khalfin, “New Results on the CP-violation Problem”, preprint CPT, The University of Texas at Austin, DOE-ER 40200-211, Austin, February 1990.

    Google Scholar 

  16. L. A. Khalfin, “A New CP-violation Effect and a New Possibility for Investigation of K S, KL (K 0, \(\bar K^0\)) Decay Modes”, preprint CPT, The University of Texas at Austin, DOE-ER 40200-246, Austin, March 1991.

    Google Scholar 

  17. Leonid A. Khalfin, “CP-violation Problem Beyond Standard Lee-Oehme-Yang Theory”, June 1994, submitted to “The DAFNE Physics Handbook”

    Google Scholar 

  18. C. B. Chiu and E. C. G. Sudarshan, Phys. Rev., D42, 3712 (1990).

    Google Scholar 

  19. E. C. G. Sudarshan and C. B. Chiu, Phys. Rev., D47, 2602 (1993).

    MathSciNet  Google Scholar 

  20. Ya. Azimov, JETPh Lett., v. 58, 159 (1993).

    Google Scholar 

  21. A. Bohm, “Quantum Mechanics”, 3rd Edition, Springer, NY (1994)

    Google Scholar 

  22. A. Bohm, I. Antoniou, P. Kielanowski, J. Math. Phys., v.36, 2593 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  23. L. A. Khalfin, DAN USSR, v. 115, 277 (1957): JETPh, v. 32, 1371 (1958).

    Google Scholar 

  24. L. A. Khalfin, Uspekhi Physicheskikh Nauk, v.166, N6, 688 (1996).

    Google Scholar 

  25. L. A. Khalfin, report on scientific session the Nuclear Physics Department Academy of Sciences USSR, 1968; “Investigations of the quantum theory of unstable elementary particles”, Doctor of Sciences dissertation, FIAN (1968)-LTF JINR (1972).

    Google Scholar 

  26. H. Lipkin, unpublished, 1964.

    Google Scholar 

  27. CP LEAR Collaboration, R. Adler et al., Phys. Lett., B286, 180 (1992).

    Google Scholar 

  28. J. S. Bell, J. Steinberger, Proceedings of the Oxford International Conference on Elementary Particles, 1965.

    Google Scholar 

  29. L. A. Khalfin, JETPh Lett., v. 25, 349 (1972).

    Google Scholar 

  30. Leonid A. Khalfin, “An Exact Theory of the CP-violation Problem within CPT-noninvariant Quantum Theory”, unpublished, 1994.

    Google Scholar 

  31. P. Pavlopoulos, “Measurements of CP and T VIolation Parameters in the Neutral Kaon System at CP LEAR”-in “Workshop on Physics and Detectors for DAFNE'95”, Frascati Physics Series, v.IV, eds. R. Baldini, F. Bossi, G. Capon, G. Pancheri, 55 (1995); R. LeGac, “Study of CP, T and CPT in the Neutral K System”-report on Workshop on K Physics, Orsay, May 1996.

    Google Scholar 

  32. C. D. Buchanan, R. Cousin, C. O. Dib, R. D. Peccei and J. Quackenbush, Phys. Rev., D45, 4088 (1992).

    Google Scholar 

  33. L. Khalfin, “CP-violation and CPT-invariant Tests beyond Standard Lee-Ohme-Yang Theory”, report at EURODAφNE Collaboration Meeting, Frascati, April 19–22, 1994-in LNF-94/033 (IR), 249, 7 giugno 1994.

    Google Scholar 

  34. Leonid A.Khalfin “CP-violation Problem Beyond Approximate Lee-Oehme-Yang Theory”, report on Workshop on Physics and Detectors for DAFNE'95, April 1995.

    Google Scholar 

  35. Leonid A.Khalfin, “Unconditional Tests of Discrete Symmetries by K Mesons Beyond the Approximate Lee-Oehme-Yang Theory”, report on Workshop on K Physics, Orsay, May 1996 (will be published).

    Google Scholar 

  36. Leonid A.Khalfin, “On the CPT-invariant Theory of CP-violation”, PDMI PREPRINT-3/1995. 30. Leonid A. Khalfin, “The Exact Theory of the CP-violation Problem and Violation of Quantum Mechanics”, unpublished, 1994.

    Google Scholar 

  37. E371; L. K. Gibbons et al., Phys. Rev. Lett., v. 70, 1199 and 1203 (1993).

    Article  MathSciNet  Google Scholar 

  38. NA31; G. D. Barr et al., Phys. Lett., B317, 233 (1993).

    Google Scholar 

  39. Leonid A.Khalfin, “The Exact Theory of the CP-violation Problem and Violation of Quantum Mechanics”, 1994 (unpublished).

    Google Scholar 

  40. Leonid A.Khalfin, “On Charge Asymmetry in Semileptonic Decay Channels in the Exact Theory of the CP-violation Problem”, 1994 (unpublished).

    Google Scholar 

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Authors and Affiliations

  1. St. Petersburg Department Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, 191011, St. Petersburg, Russia

    L. A. Khalfin

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  1. L. A. Khalfin
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Arno Bohm Heinz-Dietrich Doebner Piotr Kielanowski

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© 1998 Springer-Verlag

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Khalfin, L.A. (1998). CP-violation problem beyond the standard lee-oehme-yang theory. In: Bohm, A., Doebner, HD., Kielanowski, P. (eds) Irreversibility and Causality Semigroups and Rigged Hilbert Spaces. Lecture Notes in Physics, vol 504-504. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106788

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  • DOI: https://doi.org/10.1007/BFb0106788

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  • Print ISBN: 978-3-540-64305-0

  • Online ISBN: 978-3-540-69725-1

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