Abstract
The CP-violation problem and unconditional tests of discrete symmetries T and CPT are investigated in the exact quantum theory (QT) beyond the usually used Lee-Oehme-Yang (LOY) theory, which is based on the famous Weisskopf-Wigner (WW) approximation. New unconditional CP-violation effects, independent from those known before, new unconditional tests of the CPT and T invariances, and new results for correlations are derived. Corresponding general results are obtained for\(K^0 - \bar K^0 ,{\mathbf{ }}B^0 - \bar B^0 ,{\mathbf{ }}D^0 - \bar D^0 \) mesons. On the base of these new theoretical results, some proposals for experiments by CP LEAR and ϕ, B factories are given. The new results are interesting not only for the CP-violation problem itself but also for testing violation of the standard quantum dynamics connected with ideas of quantum gravity.
Similar content being viewed by others
References
J. H. Cristensen, J. W. Cronin, V. L. Fitch, and R. Turlay,Phys. Rev. Lett. 13, 138 (1964).
The DAFNE Physics Handbook, L. Maiani, G. Pancheri, and N. Paver. eds. (INFN, Frascati, 1992).
E. A. Paschos, “CP violation: present and future,” preprint Fermilab, FERMILAB-Conf-96/045-T, Batavia, USA, 1996.
P. K. Kabir,Phys. Rev. D 2, 540 (1970).
P. K. Kabir and A. Pilaftsis,Phys. Rev. A 53, 66 (1996).
G. V. Dass,Phys. Rev. D 45, 980 (1992).
Leonid A. Khalfin, “On the test of superposition,” preprint Research Institute for Theoretical Physics, The University of Helsinki, HU-TFT-92, Helsinki, Finland, March 1992.
Leonid A. Khalfin, inAbstracts of Reports on the XIX International Colloquium on Group Theoretical Methods in Physics 1, 25 (1992), Salamanka, Spain.
J. Ellis, J. S. Hagelin, D. N. Nanopouls, and M. Srednicki,Wucl. Phys. B 241, 381 (1984).
J. Ellis, N. E. Mavromatos, and D. N. Nanopoulos,Phys. Lett. B 293, 142 (1992).
Patrick Huet and Michael E. Peskin, “Violaton of CPT and quantum mechanics in the\(K^0 - \bar K^0 \) system,” preprint SLAC-PUB-6454, Stanford, USA, March 1994;Nucl. Phys. B 434, 3 (1995).
P. Eberhard, “Tests of quantum mechanics at a ϕ-factory,” report at EURODAFNE Collaboration Meeting, Frascati, April 19–22, 1994.
N. Mavromatos, “Violations of quantum mechanics and CPT from Planckian scale Physics at DAFNE,” report at EURODAFNE Collaboration Meeting, Frascati, April 19–22, 1994.
Leonid A. Khalfin and Boris S. Tsirelson,Found. Phys. 22, 879 (1992).
T. D. Lee, R. Ohme, and C. N. Yang,Phys. Rev. 106, 340 (1957).
L. A. Khalfin, “Theory of\(K^0 - \bar K^0 ,{\mathbf{ }}D^0 - \bar D^0 ,{\mathbf{ }}B^0 - \bar B^0 \) mesons beyond the Weisskopf-Wigner approximation and the CP-violation problem,” LOMI preprint, P-4-80, Leningrad, USSR, 1980.
L. A. Khalfin, inProceedings of the Seminar “Group Theoretical Methods in Physics,” M. Markov, ed.2. 608 (Nauka, Moscow, 1986).
L. A. Khalfin, “New results on the CP-violation problem,” preprint CPT, The University of Texas at Austin, DOE-ER 40200-211, Austin, USA, February 1990.
L. A. Khalfin, “A new CP-violation effect and a new possibility for investigation of\(K_S ,K_L (K^0 ,{\mathbf{ }}\bar K^0 )\) decay modes,” preprint CPT, The University of Texas at Austin, DOE-ER 40200-246, Austin, USA, March 1991.
Leonid A. Khalfin, “CP-violation problem beyond the standard Lee-Oehme-Yang theory,” June 1994, submitted toThe DAFNE Physics Handbook.
C. B. Chiu and E. C. G. Sudarshan,Phys. Rev. D 42, 3712 (1990).
E. C. G. Sudarshan and C. B. Chiu,Phys. Rev. D 47, 2602 (1993).
Ya. Azimov,JETP Lett. 58, 159 (1993).
A. Bohm,Quantum Mechanics, 3rd edn. (Springer, New York, 1994). A. Bohm, I. Antoniou, and P. Kielanowski,J. Math. Phys. 36, 2593 (1995).
L. A. Khalfin,DAN SSSR 115, 277 (1957);JETP 32, 1371 (1957).
L. A. Khalfin,Usp. Fiz. Nauk 166, N6, 688 (1996).
L. A. Khalfin, report on scientific session of the Nuclear Physics Department, Academy of Sciences of the USSR, 1968; “Investigations of the quantum theory of unstable elementary particles,” Doctor of Sciences dissertation, FIAN (1968)-LTF JINR (1972).
H. Lipkin, unpublished, 1964.
CP LEAR Collaboration, R. Adler et al.,Phys. Lett. B 286, 180 (1992).
J. S. Bell and J. Steinberger,Proceedings, Oxford International Conference on Elementary Particles, 1965.
L. A. Khalfin,JETP Lett. 25, 349 (1972).
Leonid A. Khalfin, “An exact theory of the CP-violation problem within CPT-noninvariant quantum theory,” 1994, unpublished.
P. Pavlopoulos, “Measurements of CP and T violation parameters in the neutral kaon system at CP LEAR,” inWorkshop on Physics and Detectors for DAFNE'95, Frascati Physics Series IV, R. Baldini, F. Bossi, G. Capon, and G. Pancheri, eds. 55 (1995). R. LeGac, “Study of CP, T, and CPT in the neutral K system” (report on Workshop on K Physics, Orsay, May 1996).
C. D. Buchanan, R. Cousin, C. O. Dib, R. D. Peccei, and J. Quackenbush,Phys. Rev. D 45, 4088 (1992).
L. Khalfin, “CP-violation and CPT-invariant tests beyond the standard Lee-Ohme-Yang theory,” report at EURODAFNE Collaboration Meeting, Frascati, April 19–22, 1994 in LNF-94/033 (IR), 249, 7 Giugno 1994.
Leonid A. Khalfin “CP-violation problem beyond the approximate Lee-Oehme-Yang theory,” report on Workshop on Physics and Detectors for DAFNE '95, April 1995.
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, to be published in Proceedings.
Leonid A. Khalfin, “On the CPT-invariant theory of CP violation,” PDMI preprint-3/1995, St. Petersburg, Russia, 1995.
E371; L. K. Gibbonset al., Phys. Rev. Lett. 70, 1199 1203 (1993).
NA31; G. D. Barret al., Phys. Lett. B 317, 233 (1993).
Leonid A. Khalfin, “The exact theory of the CP-violation problem and violation of quantum mechanics,” 1994, unpublished.
Leonid A. Khalfin, “On charge asymmetry in semileptonic decay channels in the exact theory of the CP-violation problem,” 1994, unpublished.
Leonid A. Khalfin, “On the decay and regeneration amplitudes and corresponding probabilities for\(K^0 - {\mathbf{ }}\bar K^0 \) mesons from correlation experiments on ϕ factoties,” PDMI preprint-4/1995, St. Petersburg, Russia, 1995.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Khalfin, L.A. Unconditional tests of fundamental discrete symmetries CP, T, CPT in rigorous quantum dynamics beyond the approximate Lee-Oehme-Yang theory. Found Phys 27, 1549–1570 (1997). https://doi.org/10.1007/BF02551500
Issue Date:
DOI: https://doi.org/10.1007/BF02551500