Beyond the Weisskopf-Wigner approximation in the K0 - K̄0 system

International Journal of Modern Physics A

Volumn 14, Issue 4, 1999, Pages 589-613

  Nowakowski, Marek ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000814348     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0217751x99000294     Document Type: Article

References (46)

1. V. F. Weisskopf and E. P. Wigner, Z. Phys. 63, 54 (1930).
2. T. D. Lee, R. Oehme and C. N. Yang, Phys. Rev. 106, 340 (1957).
3. N. S. Krylov and V. A. Fock, J. Phys. USSR 11, 112 (1947); see also B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977); C. B. Chiu, E. C. G. Sudarshan and B. Misra, Phys. Rev. D16, 520 (1977) and references therein.
4. N. S. Krylov and V. A. Fock, J. Phys. USSR 11, 112 (1947); see also B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977); C. B. Chiu, E. C. G. Sudarshan and B. Misra, Phys. Rev. D16, 520 (1977) and references therein.
5. N. S. Krylov and V. A. Fock, J. Phys. USSR 11, 112 (1947); see also B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977); C. B. Chiu, E. C. G. Sudarshan and B. Misra, Phys. Rev. D16, 520 (1977) and references therein.
6. L. A. Khalfin, JETP Lett. 15, 388 (1972).
7. L. A. Khalfin, University of Texas at Austin, CPT Report No. 211 (1990); ibid. CPT Report No. 246 (1991).
8. L. A. Khalfin, University of Texas at Austin, CPT Report No. 211 (1990); ibid. CPT Report No. 246 (1991).
9. L. A. Khalfin, talk given at the Second EurodaΦne Meeting (Frascati, 1994); appeared in "II Eurodaphne Collaboration Meeting," Frascati, LNF-94/033(R) 1994.
10. L. A. Khalfin, talk given at the Second EurodaΦne Meeting (Frascati, 1994); appeared in "II Eurodaphne Collaboration Meeting," Frascati, LNF-94/033(R) 1994.
11. For a general overview see the contributions given in L. Maiani, G. Pancheri and N. Paver (eds.), The DaΦne Physics Handbook (Laboratori Nazionali di Frascati, Frascati, Roma, 1992).
12. L. Maiani, G. Pancheri and N. Paver (eds.), The Second DaΦne Physics Handbook (Laboratori Nazionali di Frascati, Frascati, Roma, 1995).
13. P. K. Kabir, Phys. Rev. D2, 540 (1970).
14. For CPT violation outside the conventional quantum mechanics see J. Ellis, J. S. Hagelin, D. V. Nanopoulos and M. Srednicki, Nucl. Phys. 241, 381 (1984); J. Ellis, N. E. Mavromatos and D. V. Nanopoulos, Phys. Lett. B293, 37 (1992); ibid. 267, 465 (1991); ibid. B272, 261 (1991); P. Huet and M. E. Peskin, SLAC-Pub 6454 (Mar. 1994); for a discussion of possible CPT violation at DaΦne see V. Patera and A. Pugliese in Ref. 7; G. D'Ambrosio, G. Isidori and A. Pugliese, Cern preprint, CERN-TH-7504 (1994).
15. For CPT violation outside the conventional quantum mechanics see J. Ellis, J. S. Hagelin, D. V. Nanopoulos and M. Srednicki, Nucl. Phys. 241, 381 (1984); J. Ellis, N. E. Mavromatos and D. V. Nanopoulos, Phys. Lett. B293, 37 (1992); ibid. 267, 465 (1991); ibid. B272, 261 (1991); P. Huet and M. E. Peskin, SLAC-Pub 6454 (Mar. 1994); for a discussion of possible CPT violation at DaΦne see V. Patera and A. Pugliese in Ref. 7; G. D'Ambrosio, G. Isidori and A. Pugliese, Cern preprint, CERN-TH-7504 (1994).
16. For CPT violation outside the conventional quantum mechanics see J. Ellis, J. S. Hagelin, D. V. Nanopoulos and M. Srednicki, Nucl. Phys. 241, 381 (1984); J. Ellis, N. E. Mavromatos and D. V. Nanopoulos, Phys. Lett. B293, 37 (1992); ibid. 267, 465 (1991); ibid. B272, 261 (1991); P. Huet and M. E. Peskin, SLAC-Pub 6454 (Mar. 1994); for a discussion of possible CPT violation at DaΦne see V. Patera and A. Pugliese in Ref. 7; G. D'Ambrosio, G. Isidori and A. Pugliese, Cern preprint, CERN-TH-7504 (1994).
17. For CPT violation outside the conventional quantum mechanics see J. Ellis, J. S. Hagelin, D. V. Nanopoulos and M. Srednicki, Nucl. Phys. 241, 381 (1984); J. Ellis, N. E. Mavromatos and D. V. Nanopoulos, Phys. Lett. B293, 37 (1992); ibid. 267, 465 (1991); ibid. B272, 261 (1991); P. Huet and M. E. Peskin, SLAC-Pub 6454 (Mar. 1994); for a discussion of possible CPT violation at DaΦne see V. Patera and A. Pugliese in Ref. 7; G. D'Ambrosio, G. Isidori and A. Pugliese, Cern preprint, CERN-TH-7504 (1994).
18. For CPT violation outside the conventional quantum mechanics see J. Ellis, J. S. Hagelin, D. V. Nanopoulos and M. Srednicki, Nucl. Phys. 241, 381 (1984); J. Ellis, N. E. Mavromatos and D. V. Nanopoulos, Phys. Lett. B293, 37 (1992); ibid. 267, 465 (1991); ibid. B272, 261 (1991); P. Huet and M. E. Peskin, SLAC-Pub 6454 (Mar. 1994); for a discussion of possible CPT violation at DaΦne see V. Patera and A. Pugliese in Ref. 7; G. D'Ambrosio, G. Isidori and A. Pugliese, Cern preprint, CERN-TH-7504 (1994).
19. S regeneration in matter see P. H. Eberhard, Nucl. Phys. B398, 155 (1993); ibid, in Ref. 8; for yet different possibilities and developments see Y. Srivastava and A. Widom, Phys. Lett. B314, 315 (1993); B. Ancochea and A. Bramon, Barcelona preprint UAB-Ft-345/94.
20. S regeneration in matter see P. H. Eberhard, Nucl. Phys. B398, 155 (1993); ibid, in Ref. 8; for yet different possibilities and developments see Y. Srivastava and A. Widom, Phys. Lett. B314, 315 (1993); B. Ancochea and A. Bramon, Barcelona preprint UAB-Ft-345/94.
21. S regeneration in matter see P. H. Eberhard, Nucl. Phys. B398, 155 (1993); ibid, in Ref. 8; for yet different possibilities and developments see Y. Srivastava and A. Widom, Phys. Lett. B314, 315 (1993); B. Ancochea and A. Bramon, Barcelona preprint UAB-Ft-345/94.
22. S regeneration in matter see P. H. Eberhard, Nucl. Phys. B398, 155 (1993); ibid, in Ref. 8; for yet different possibilities and developments see Y. Srivastava and A. Widom, Phys. Lett. B314, 315 (1993); B. Ancochea and A. Bramon, Barcelona preprint UAB-Ft-345/94.
23. See Ref. 3 and G. C. Ghirardi, C. Omero, T. Weber and A. Rimini, Nuovo Cimento A52, 421 (1979); C. B. Chiu, B. Misra and E. C. G. Sudarshan, Phys. Lett. B117, 34 (1982).
24. See Ref. 3 and G. C. Ghirardi, C. Omero, T. Weber and A. Rimini, Nuovo Cimento A52, 421 (1979); C. B. Chiu, B. Misra and E. C. G. Sudarshan, Phys. Lett. B117, 34 (1982).
25. L. A. Khalfin, Sov. Phys. Dokl. 2, 340 (1957); ibid. JETP 6, 1053 (1958); G. Höhler, Z. Phys. 152, 546 (1958); L. Fonda, G. C. Ghirardi and A. Rimini, Rep. Prog. Phys. 41, 587 (1978).
26. L. A. Khalfin, Sov. Phys. Dokl. 2, 340 (1957); ibid. JETP 6, 1053 (1958); G. Höhler, Z. Phys. 152, 546 (1958); L. Fonda, G. C. Ghirardi and A. Rimini, Rep. Prog. Phys. 41, 587 (1978).
27. L. A. Khalfin, Sov. Phys. Dokl. 2, 340 (1957); ibid. JETP 6, 1053 (1958); G. Höhler, Z. Phys. 152, 546 (1958); L. Fonda, G. C. Ghirardi and A. Rimini, Rep. Prog. Phys. 41, 587 (1978).
28. L. A. Khalfin, Sov. Phys. Dokl. 2, 340 (1957); ibid. JETP 6, 1053 (1958); G. Höhler, Z. Phys. 152, 546 (1958); L. Fonda, G. C. Ghirardi and A. Rimini, Rep. Prog. Phys. 41, 587 (1978).
29. A. Bohm, Quantum Mechanics: Foundations and Applications (Springer-Verlag, Berlin, 1986).
30. E. C. G. Sudarshan and C. B. Chiu, Phys. Rev. D47, 2602 (1993); C. B. Chiu and E. C. G. Sudarshan, University of Texas at Austin, CPT Report No. 296, also in A Gift of Prophecy, ed. E. C. G. Sudershan (World Scientific, Singapore, 1994), p. 81.
31. E. C. G. Sudarshan and C. B. Chiu, Phys. Rev. D47, 2602 (1993); C. B. Chiu and E. C. G. Sudarshan, University of Texas at Austin, CPT Report No. 296, also in A Gift of Prophecy, ed. E. C. G. Sudershan (World Scientific, Singapore, 1994), p. 81.
32. E. C. G. Sudarshan and C. B. Chiu, Phys. Rev. D47, 2602 (1993); C. B. Chiu and E. C. G. Sudarshan, University of Texas at Austin, CPT Report No. 296, also in A Gift of Prophecy, ed. E. C. G. Sudershan (World Scientific, Singapore, 1994), p. 81.
33. C. B. Chiu and E. C. G. Sudarshan, Phys. Rev. D42, 3712 (1990).
34. C. Buchanan, R. Cousins, C. Dib, R. D. Peccei and J. Quackenbush, Phys. Rev. 45, 4088 (1992).
35. C. Dib and R. D. Peccei, Phys. Rev. 46, 2265 (1992).
36. L. A. Khalfin, USSR Academy of Sciences, Steklov Mathematical Institute, LOMI Report No. E-6-87 and No. E-7-87 (1987), as quoted in Ref. 16.
37. O. Nachtmann, Elementary Particle Physics (Springer-Verlag, Berlin, 1990).
38. P. K. Kabir, The CP Puzzle (Academic, London, 1968).
39. R. G. Sachs, Ann. Phys. (N.Y.) 22, 239 (1964). The space-time-dependent formulae developed in this paper are given in a density matrix formulation.
40. C. P. Eng and R. R. Lewis, Helv. Phys. Acta 38, 860 (1965).
41. See e.g. K. B. Wolf, Integral Transforms in Science and Engineering (Plenum, New York, 1979).
42. M. Nowakowski, in preparation.
43. Yet a different way of displaying the consistency of (3.20) is described in Sec. 5 [see there Eqs. (5.8)-(5.10)].
44. J. S. Bell and J. Steinberger, in Proc. Int. Conf. on Elementary Particles (Oxford, 1965).
45. See e.g. L. Maiani in Ref. 7.
46. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, 4th ed. (Academic, London, 1965).