Use of the reciprocal basis in neutral meson mixing

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 11, 2000, Pages 1-12

  Silva, João P ^a,b  

^a SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

^b INSTITUTO SUPERIOR DE ENGENHARIA DE LISBOA   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16644382008     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.116008     Document Type: Article

References (34)

1. R. G. Sachs, Phys. Rev. 129, 2280 (1963).
2. R. G. Sachs, Ann. Phys. (N.Y.) 22, 239 (1964).
3. C. P. Enz and R. R. Lewis, Helv. Phys. Acta 38, 860 (1965).
4. L. Wolfenstein, Phys. Rev. 188, 2536 (1969).
5. M. Beuthe, G. López-Castro, and J. Pestieau, Int. J. Mod. Phys. A 13, 3587 (1998).
6. L. Alvarez-Gaumé, C. Kounnas, S. Lola, and P. Pavlopoulos, Phys. Lett. B 458, 347 (1999).
7. G. C. Branco, L. Lavoura, and J. P. Silva, CP Violation (Oxford University Press, Oxford, 1999).
8. J. H. Christenson, J. W. Cronin, V. L. Fitch, and R. Turlay, Phys. Rev. Lett. 13, 138 (1964).
9. As far as we know, a similar expression was first derived in Ref. [6]. The form presented here highlights the T- and CPT-violating quantities, and will now be used in new contexts.
10. For a derivation of these relations see, for instances, L. Lavoura and J. P. Silva, Phys. Rev. D 60, 056003 (1999).
11. Ya. I. Azimov (private communication); B. Kayser (private communication).
12. Ya. I. Azimov (private communication); B. Kayser (private communication).
13. A. Amorim, M. G. Santos, and J. P. Silva, Phys. Rev. D 59, 056001 (1999).
14. Ya. I. Azimov, Pis'ma Zh. Éksp. Teor. Fiz. 50, 413 (1989) [JETP Lett. 50, 447 (1989)] ; Phys. Rev. D 42, 3705 (1990). Ya. I. Azimov, V. L. Rappoport, and V. V. Sarantsev, Z. Phys. A 356, 437 (1997); G. V. Dass and K. V. L. Sarma, Int. J. Mod. Phys. A 7, 6081 (1992); 8, 1183(E) (1993); B. Kayser and L. Stodolsky, Max-Planck Institute Report No. MPI-PHT-96-112, hep-ph/9610522; B. Kayser, Electroweak interactions and unified theories, Les Arcs 1997 (Editions Frontières, Paris, 1997), pp. 389-398, hep-ph/9709382; Ya. I. Azimov and I. Dunietz, Phys. Rev. B 395, 334 (1997).
15. Ya. I. Azimov, Pis'ma Zh. Éksp. Teor. Fiz. 50, 413 (1989) [JETP Lett. 50, 447 (1989)] ; Phys. Rev. D 42, 3705 (1990). Ya. I. Azimov, V. L. Rappoport, and V. V. Sarantsev, Z. Phys. A 356, 437 (1997); G. V. Dass and K. V. L. Sarma, Int. J. Mod. Phys. A 7, 6081 (1992); 8, 1183(E) (1993); B. Kayser and L. Stodolsky, Max-Planck Institute Report No. MPI-PHT-96-112, hep-ph/9610522; B. Kayser, Electroweak interactions and unified theories, Les Arcs 1997 (Editions Frontières, Paris, 1997), pp. 389-398, hep-ph/9709382; Ya. I. Azimov and I. Dunietz, Phys. Rev. B 395, 334 (1997).
16. Ya. I. Azimov, Pis'ma Zh. Éksp. Teor. Fiz. 50, 413 (1989) [JETP Lett. 50, 447 (1989)] ; Phys. Rev. D 42, 3705 (1990). Ya. I. Azimov, V. L. Rappoport, and V. V. Sarantsev, Z. Phys. A 356, 437 (1997); G. V. Dass and K. V. L. Sarma, Int. J. Mod. Phys. A 7, 6081 (1992); 8, 1183(E) (1993); B. Kayser and L. Stodolsky, Max-Planck Institute Report No. MPI-PHT-96-112, hep-ph/9610522; B. Kayser, Electroweak interactions and unified theories, Les Arcs 1997 (Editions Frontières, Paris, 1997), pp. 389-398, hep-ph/9709382; Ya. I. Azimov and I. Dunietz, Phys. Rev. B 395, 334 (1997).
17. Ya. I. Azimov, Pis'ma Zh. Éksp. Teor. Fiz. 50, 413 (1989) [JETP Lett. 50, 447 (1989)] ; Phys. Rev. D 42, 3705 (1990). Ya. I. Azimov, V. L. Rappoport, and V. V. Sarantsev, Z. Phys. A 356, 437 (1997); G. V. Dass and K. V. L. Sarma, Int. J. Mod. Phys. A 7, 6081 (1992); 8, 1183(E) (1993); B. Kayser and L. Stodolsky, Max-Planck Institute Report No. MPI-PHT-96-112, hep-ph/9610522; B. Kayser, Electroweak interactions and unified theories, Les Arcs 1997 (Editions Frontières, Paris, 1997), pp. 389-398, hep-ph/9709382; Ya. I. Azimov and I. Dunietz, Phys. Rev. B 395, 334 (1997).
18. Ya. I. Azimov, Pis'ma Zh. Éksp. Teor. Fiz. 50, 413 (1989) [JETP Lett. 50, 447 (1989)] ; Phys. Rev. D 42, 3705 (1990). Ya. I. Azimov, V. L. Rappoport, and V. V. Sarantsev, Z. Phys. A 356, 437 (1997); G. V. Dass and K. V. L. Sarma, Int. J. Mod. Phys. A 7, 6081 (1992); 8, 1183(E) (1993); B. Kayser and L. Stodolsky, Max-Planck Institute Report No. MPI-PHT-96-112, hep-ph/9610522; B. Kayser, Electroweak interactions and unified theories, Les Arcs 1997 (Editions Frontières, Paris, 1997), pp. 389-398, hep-ph/9709382; Ya. I. Azimov and I. Dunietz, Phys. Rev. B 395, 334 (1997).
19. Ya. I. Azimov, Pis'ma Zh. Éksp. Teor. Fiz. 50, 413 (1989) [JETP Lett. 50, 447 (1989)] ; Phys. Rev. D 42, 3705 (1990). Ya. I. Azimov, V. L. Rappoport, and V. V. Sarantsev, Z. Phys. A 356, 437 (1997); G. V. Dass and K. V. L. Sarma, Int. J. Mod. Phys. A 7, 6081 (1992); 8, 1183(E) (1993); B. Kayser and L. Stodolsky, Max-Planck Institute Report No. MPI-PHT-96-112, hep-ph/9610522; B. Kayser, Electroweak interactions and unified theories, Les Arcs 1997 (Editions Frontières, Paris, 1997), pp. 389-398, hep-ph/9709382; Ya. I. Azimov and I. Dunietz, Phys. Rev. B 395, 334 (1997).
20. Ya. I. Azimov, Pis'ma Zh. Éksp. Teor. Fiz. 50, 413 (1989) [JETP Lett. 50, 447 (1989)] ; Phys. Rev. D 42, 3705 (1990). Ya. I. Azimov, V. L. Rappoport, and V. V. Sarantsev, Z. Phys. A 356, 437 (1997); G. V. Dass and K. V. L. Sarma, Int. J. Mod. Phys. A 7, 6081 (1992); 8, 1183(E) (1993); B. Kayser and L. Stodolsky, Max-Planck Institute Report No. MPI-PHT-96-112, hep-ph/9610522; B. Kayser, Electroweak interactions and unified theories, Les Arcs 1997 (Editions Frontières, Paris, 1997), pp. 389-398, hep-ph/9709382; Ya. I. Azimov and I. Dunietz, Phys. Rev. B 395, 334 (1997).
21. Ya. I. Azimov, Pis'ma Zh. Éksp. Teor. Fiz. 50, 413 (1989) [JETP Lett. 50, 447 (1989)] ; Phys. Rev. D 42, 3705 (1990). Ya. I. Azimov, V. L. Rappoport, and V. V. Sarantsev, Z. Phys. A 356, 437 (1997); G. V. Dass and K. V. L. Sarma, Int. J. Mod. Phys. A 7, 6081 (1992); 8, 1183(E) (1993); B. Kayser and L. Stodolsky, Max-Planck Institute Report No. MPI-PHT-96-112, hep-ph/9610522; B. Kayser, Electroweak interactions and unified theories, Les Arcs 1997 (Editions Frontières, Paris, 1997), pp. 389-398, hep-ph/9709382; Ya. I. Azimov and I. Dunietz, Phys. Rev. B 395, 334 (1997).
22. Ya. I. Azimov, Pis'ma Zh. Éksp. Teor. Fiz. 50, 413 (1989) [JETP Lett. 50, 447 (1989)] ; Phys. Rev. D 42, 3705 (1990). Ya. I. Azimov, V. L. Rappoport, and V. V. Sarantsev, Z. Phys. A 356, 437 (1997); G. V. Dass and K. V. L. Sarma, Int. J. Mod. Phys. A 7, 6081 (1992); 8, 1183(E) (1993); B. Kayser and L. Stodolsky, Max-Planck Institute Report No. MPI-PHT-96-112, hep-ph/9610522; B. Kayser, Electroweak interactions and unified theories, Les Arcs 1997 (Editions Frontières, Paris, 1997), pp. 389-398, hep-ph/9709382; Ya. I. Azimov and I. Dunietz, Phys. Rev. B 395, 334 (1997).
23. C. C. Meca and J. P. Silva, Phys. Rev. Lett. 81, 1377 (1998).
24. However, there are cases in which the approximation of neglecting CP violation in the neutral kaon system is clearly spelled out, as in Y. Grossman, B. Kayser, and Y. Nir, Phys. Lett. B 415, 90 (1997).
25. M. L. Good, Phys. Rev. 106, 591 (1957); 110, 550 (1958).
26. M. L. Good, Phys. Rev. 106, 591 (1957); 110, 550 (1958).
27. K. M. Case, Phys. Rev. 103, 1449 (1956).
28. W. Fetscher et al., Z. Phys. C 72, 543 (1996).
29. Th. Schietinger, Ph.D. thesis, Universität Basel, 1998.
30. There are, however, important issues related to the choice of frame. These are best discussed in terms of wave packets. See, for example, L. Stodolsky, Phys. Rev. D 58, 036006 (1998) and references therein.
31. M. Kobayashi and A. I. Sanda, Phys. Rev. Lett. 69, 3139 (1992).
32. CPLEAR Collaboration, A. Angelopoulos et al., Phys. Lett. B 444, 52 (1998).
33. R. A. Briere and L. H. Orr, Phys. Rev. D 40, 2269 (1989).
34. S. Gasiorowicz, Quantum Physics (Wiley, New York, 1974).