- Access by Xinjiang University
Towards a unique formula for neutrino oscillations in vacuum
Phys. Rev. D 66, 013003 – Published 8 July, 2002
DOI: https://doi.org/10.1103/PhysRevD.66.013003
Abstract
We show that all correct results obtained by applying quantum field theory to neutrino oscillations can be understood in terms of a single oscillation formula. In particular, the model proposed by Grimus and Stockinger is shown to be a subcase of the model proposed by Giunti, Kim and Lee, while the new oscillation formulas proposed by Ioannisian and Pilaftsis and by Shtanov are disproved. We derive an oscillation formula without making any relativistic assumption and taking into account the dispersion, so that the result is valid for both neutrinos and mesons. This unification gives a stronger phenomenological basis to the neutrino oscillation formula. We also prove that the coherence length can be increased without bound by more accurate energy measurements. Finally, we insist on the wave packet interpretation of the quantum field treatment of oscillations.
References (28)
- S.M. Bilenky, C. Giunti, and W. Grimus, Prog. Part. Nucl. Phys. 43, 1 (1999).
- J.N. Bahcall, M.C. Gonzalez-Garcia, and C. Pena-Garay, J. High Energy Phys. 08, 014 (2001); P.I. Krastev and A.Yu. Smirnov, Phys. Rev. D 65, 073022 (2002); V. Barger, D. Marfatia, K. Whisnant, and B.P. Wood, hep-ph/0204253.
- T. Kajita and Y. Totsuka, Rev. Mod. Phys. 73, 85 (2001).
- K2K Collaboration, S.H. Ahn et al., Phys. Lett. B 511, 178 (2001).
- LSND Collaboration, C. Athanassopoulos et al., Phys. Rev. Lett. 81, 1774 (1998).
- M. Beuthe, hep-ph/0109119.
- B. Kayser, Phys. Rev. D 24, 110 (1981); ibid.C. Giunti, C.W. Kim, and U.W. Lee, 44, 3635 (1991).
- C. Giunti, C.W. Kim, and U.W. Lee, Phys. Rev. D 45, 2414 (1992).
- K. Kiers, S. Nussinov, and N. Weiss, Phys. Rev. D 53, 537 (1996).
- C. Giunti and C.W. Kim, Phys. Rev. D 58, 017301 (1998).
- C. Giunti, C.W. Kim, J.A. Lee, and U.W. Lee, Phys. Rev. D 48, 4310 (1993).
- C. Giunti, C.W. Kim, and U.W. Lee, Phys. Lett. B 421, 237 (1998).
- C.Y. Cardall, Phys. Rev. D 61, 073006 (2000).
- K. Kiers and N. Weiss, Phys. Rev. D 57, 3091 (1998).
- I.Yu. Kobzarev, B.V. Martemyanov, L.B. Okun, and M.G. Shchepkin, Yad. Fiz. 35, 1210 (1982) [Sov. J. Nucl. Phys. 35, 708 (1982)].
- W. Grimus and P. Stockinger, Phys. Rev. D 54, 3414 (1996).
- W. Grimus, S. Mohanty, and P. Stockinger, Phys. Rev. D 59, 013011 (1999); ibid.61, 033001 (2000).
- A. Ioannisian and A. Pilaftsis, Phys. Rev. D 59, 053003 (1999).
- C.Y. Cardall and D.J.H. Chung, Phys. Rev. D 60, 073012 (1999).
- Y. Srivastava, A. Widom, and E. Sassaroli, Eur. Phys. J. C 2, 769 (1998).
- Yu.V. Shtanov, Phys. Rev. D 57, 4418 (1998).
- M. Blasone and G. Vitiello, Ann. Phys. (N.Y.) 244, 283 (1995); ibid.249, 363(E) (1995); M. Blasone, P.A. Henning, and G. Vitiello, Phys. Lett. B 451, 140 (1999); M. Blasone and G. Vitiello, Phys. Rev. D 60, 111302 (1999); M. Blasone, P. Jizba, and G. Vitiello, Phys. Lett. B 517, 471 (2001); M. Blasone, A. Capolupo, and G. Vitiello, hep-th/0107125.
- M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, Reading, MA, 1995), p. 102.
- R. Jacob and R.G. Sachs, Phys. Rev. 121, 350 (1961); R.G. Sachs, Ann. Phys. (N.Y.) 22, 239 (1963).
- D. Sudarsky, E. Fischbach, C. Talmadge, S.H. Aronson, and H.-Y. Cheng, Ann. Phys. (N.Y.) 207, 103 (1991).
- A. Erdelyi, Asymptotic Expansions (Dover, New York, 1956); C.M. Bender and S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978).
- S. Nussinov, Phys. Lett. 63B, 201 (1976).
- J.E. Campagne, Phys. Lett. B 400, 135 (1997).