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Towards a unique formula for neutrino oscillations in vacuum

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Beuthe, Michel [UCL]

(eng) 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 treatments of oscillations. Comment: 30 pages, 1 figure; the proof that plane wave oscillations do no exist is extended to stationary models; the influence of dispersion is explained in more details

Document type Article de périodique (Journal article)
Access type Accès libre
Publication date 2002
Journal information "Physical Review D (Particles, Fields, Gravitation and Cosmology)" - Vol. D66, p. 013003 (2002)
Peer reviewed yes
e-issn 1089-4918
issn 1550-7998
Publication status Publié
Affiliation UCL - SC/PHYS - Département de physique
Keywords High Energy Physics - Phenomenology
Links
  1. Bilenky S.M., Giunti C., Grimus W., Phenomenology of neutrino oscillations, 10.1016/s0146-6410(99)00092-7
  2. Bahcall John N, Gonzalez-Garcia M. Concha, Peña-Garay Carlos, Global analysis of solar neutrino oscillations including SNO CC measurement, 10.1088/1126-6708/2001/08/014
  3. Krastev P. I., Smirnov A. Yu., Global analysis with SNO: Toward the solution of the solar neutrino problem, 10.1103/physrevd.65.073022
  4. Kajita Takaaki, Totsuka Yoji, Observation of atmospheric neutrinos, 10.1103/revmodphys.73.85
  5. Ahn S.H, An S, Aoki S, Berns H.G, Bhang H.C, Boyd S, Casper D, Chikamatsu T, Choi J.H, Echigo S, Etoh M, Fujii K, Fukuda S, Fukuda Y, Gajewski W, Golebiewska U, Hara T, Hasegawa T, Hayato Y, Hill J, Hong S.J, Ieiri M, Inada T, Inagaki T, Ishida T, Ishii H, Ishii T, Ishino H, Ishitsuka M, Itow Y, Iwashita T, Jang H.I, Jang J.S, Jeon E.J, Jeong E.M, Jung C.K, Kadowaki T, Kajita T, Kameda J, Kaneyuki K, Kato I, Kato Y, Kearns E, Kenmochi S, Khang B.H, Kibayashi A, Kielczewska D, Kim B.J, Kim C.O, Kim H.I, Kim J.H, Kim J.Y, Kim S.B, Kishi S, Kitamura M, Kobayashi K, Kobayashi T, Kobayashi Y, Kohama M, Koo D.G, Koshio Y, Kropp W, Kume G, Kusano E, Learned J.G, Lee H.K, Lee J.W, Lee S.B, Lim I.T, Lim S.H, Maesaka H, Martens K, Maruyama T, Matsuno S, Mauger C, McGrew C, Minakawa M, Mine S, Miura M, Miyamoto S, Miyano K, Moriyama S, Mukai S, Nakahata M, Nakamura K, Nakamura M, Nakano I, Nakaya T, Nakayama S, Nakayoshi K, Nishijima K, Nishikawa K, Nishiyama S, Noda S, Noumi H, Obayashi Y, Oh J.K, Okada A, Onchi M, Otaki T, Oyama Y, Pac M.Y, Park H, Park S.H, Park S.K, Sakai A, Sakuda M, Sakurai N, Sasao N, Sato K, Scholberg K, Seo E, Sharkey E, Shiino K, Shima A, Shiozawa M, So H, Sobel H, Stachyra A, Stone J.L, Sulak L.R, Suzuki A, Suzuki Y, Suzuki Y, Takasaki M, Takatsuki M, Takenaka K, Takeuchi H, Takeuchi Y, Tamura N, Tanaka K.H, Tanaka Y, Tashiro K, Tauchi K, Toshito T, Totsuka Y, Tumakov V, Umeda T, Vagins M, Walter C.W, Wilkes R.J, Yamada S, Yamaguchi T, Yamanoi Y, Yanagisawa C, Yokoyama H, Yokoyama H, Yoo J, Yoshida M, You S.Y, Detection of accelerator-produced neutrinos at a distance of 250 km, 10.1016/s0370-2693(01)00647-5
  6. Athanassopoulos C., Auerbach L. B., Burman R. L., Caldwell D. O., Church E. D., Cohen I., Donahue J. B., Fazely A., Federspiel F. J., Garvey G. T., Gunasingha R. M., Imlay R., Johnston K., Kim H. J., Louis W. C., Majkic R., McIlhany K., Mills G. B., Reeder R. A., Sandberg V., Smith D., Stancu I., Strossman W., Tayloe R., VanDalen G. J., Vernon W., Wadia N., Waltz J., White D. H., Works D., Xiao Y., Yellin S., Results onνμ→νeNeutrino Oscillations from the LSND Experiment, 10.1103/physrevlett.81.1774
  7. Kayser Boris, On the quantum mechanics of neutrino oscillation, 10.1103/physrevd.24.110
  8. Giunti C., Kim C. W., Lee U. W., When do neutrinos really oscillate? Quantum mechanics of neutrino oscillations, 10.1103/physrevd.44.3635
  9. Giunti C., Kim C. W., Lee U. W., Remarks on the weak states of neutrinos, 10.1103/physrevd.45.2414
  10. Kiers Ken, Nussinov Shmuel, Weiss Nathan, Coherence effects in neutrino oscillations, 10.1103/physrevd.53.537
  11. Giunti C., Kim C. W., Coherence of neutrino oscillations in the wave packet approach, 10.1103/physrevd.58.017301
  12. Giunti C., Kim C. W., Lee J. A., Lee U. W., Treatment of neutrino oscillations without resort to weak eigenstates, 10.1103/physrevd.48.4310
  13. Giunti C., Kim C.W., Lee U.W., When do neutrinos cease to oscillate?, 10.1016/s0370-2693(98)00014-8
  14. Cardall Christian Y., Coherence of neutrino flavor mixing in quantum field theory, 10.1103/physrevd.61.073006
  15. Kiers Ken, Weiss Nathan, Neutrino oscillations in a model with a source and detector, 10.1103/physrevd.57.3091
  16. I.Yu. Kobzarev, Sov. J. Nucl. Phys., 35, 708 (1982)
  17. Grimus W., Stockinger P., Real oscillations of virtual neutrinos, 10.1103/physrevd.54.3414
  18. Grimus W., Stockinger P., Mohanty S., Field-theoretical approach to coherence in neutrino oscillations, 10.1103/physrevd.59.013011
  19. Grimus W., Mohanty S., Stockinger P., Neutrino oscillations and the effect of the finite lifetime of the neutrino source, 10.1103/physrevd.61.033001
  20. Ioannisian Ara, Pilaftsis Apostolos, Neutrino oscillations in space within a solvable model, 10.1103/physrevd.59.053003
  21. Cardall Christian Y., Chung Daniel J. H., MSW effect in quantum field theory, 10.1103/physrevd.60.073012
  22. Srivastava Y., Widom A., Sassaroli E., Charged lepton and neutrino oscillations, 10.1007/s100529800720
  23. Shtanov Yu. V., Space-time description of neutrino flavor oscillations, 10.1103/physrevd.57.4418
  24. Blasone M., Vitiello G., Quantum Field Theory of Fermion Mixing, 10.1006/aphy.1995.1115
  25. M. Blasone, Ann. Phys. (N.Y.), 249, 363 (1995)
  26. Blasone Massimo, Henning Peter A., Vitiello Giuseppe, The exact formula for neutrino oscillations, 10.1016/s0370-2693(99)00155-0
  27. Blasone Massimo, Vitiello Giuseppe, Remarks on the neutrino oscillation formula, 10.1103/physrevd.60.111302
  28. Blasone Massino, Jizba Petr, Vitiello Giuseppe, Currents and charges for mixed fields, 10.1016/s0370-2693(01)00985-6
  29. Jacob R., Sachs R. G., Mass and Lifetime of Unstable Particles, 10.1103/physrev.121.350
  30. Sachs R.G, Interference phenomena of neutral K mesons, 10.1016/0003-4916(63)90055-1
  31. Sudarsky Daniel, Fischbach Ephraim, Talmadge Carrick, Aronson S.H., Cheng Hai-Yang, Effects of external fields on the neutral kaon system, 10.1016/0003-4916(91)90181-7
  32. Nussinov S., Solar neutrinos and neutrino mixing, 10.1016/0370-2693(76)90648-1
  33. Campagne J.E., Neutrino oscillations from pion decay in flight, 10.1016/s0370-2693(97)00328-6
Bibliographic reference Beuthe, Michel. Towards a unique formula for neutrino oscillations in vacuum. In: Physical Review D (Particles, Fields, Gravitation and Cosmology), Vol. D66, p. 013003 (2002)
Permanent URL http://hdl.handle.net/2078/30848