Abstract
The pattern of neutrino oscillations changes when one considers these particles evolving as an open quantum system. In this article we derive seven possibilities that change the two-generation neutrino survival probability due to quantum dissipation and decoherence. We find entirely original probabilities assuming that these effects can be parametrized by the addition of only one phenomenological constant keeping complete positivity. We observe that a relaxation effect of the system shows an unusual mechanism of flavor conversion, the appearance of CP-violation effects for Majorana neutrinos, besides an appreciable change in the behavior of high energy neutrinos.
Similar content being viewed by others
References
K. Eguchi et al. (KamLAND Collaboration), Phys. Rev. Lett. 90, 021802 (2003)
T. B. Cleveland et al. (Homestake Collaboration), Astrophys. J. 496, 505 (2003)
K. S. Hirata et al. (Kamiokande Collaboration), Phys. Rev. Lett. 65, 1301 (1990)
M. Altmann et al. (GNO Collaboration), Phys. Lett. B 490, 16 (2000)
J. N. Abdurashitov et al. (SAGE Collaboration), Phys. Rev. Lett. 83, 4686 (1999)
Q. R. Ahmad et al. (SNO Collaboration), Phys. Rev. Lett. 89, 011302 (2002)
Y. Fukuda et al. (SK Collaboration), Phys. Rev. Lett. 81, 1562 (1998)
O. Miranda, M. Tortola, J. Valle, J. High Energy Phys. 10, 008 (2006)
V. N. Gribov, B. Pontecorvo, Phys. Lett. 28, 493 (1969)
F. Benatti, R. Floreanini, J. High Energy Phys. 02, 32 (2000)
F. Benatti, R. Floreanini, Phys. Rev. D 64, 085015 (2001)
V. Gorini, A. Kossakowski, J. Math. Phys. 17, 821 (1976)
G. Lindblad, Commun. Phys. 48, 119 (1976)
E. B. Davies, Commun. Phys. 39, 91 (1974)
J. Ellis et al., Nucl. Phys. B 241, 381 (1984)
D. Morgan et al., Astrophys. Phys. 25, 311 (2006)
E. Lisi, A. Marrone, D. Montanino, Phys. Rev. Lett. 85, 1166 (2000)
A. M. Gago et al., arXiv:hep-ph/0208166 (2002)
G. Barenboim, N. E. Mavromato, J. High Energy Phys. 01, 31 (2005)
G. L. Fogli, E. Lisi, A. Marrone, D. Montanino, Phys. Rev. D 67, 093006 (2003)
G. L. Fogli, E. Lisi, A. Marrone, D. Montanino, A. Palazzo, Phys. Rev. D 76, 033006 (2007)
F. Benatti, H. Narnhofer, Lett. Math. Phys. 15, 325 (1988)
T. Ohlsson, Phys. Lett. B 502, 159 (2001)
Y. Liu, L. Hu, M. L. Ge, Phys. Rev. D 56, 6648 (1997)
C. Cohen-Tannoudji et al., Quantum Mechanics, vol. I (Hermann, Paris, 1977)
U. Weiss, Quantum Dissipative Systems, vol. XIII (World Scientific/Hermann, Singapore, 1993)
R. Dumcke, H. Sponh, Z. Phys. B 34, 419 (1979)
R. Alicki, K. Lendi, Quantum Dynamical Semigroups and Applications, Lect. Notes Phys. (Springer-Verlag, Berlin, 1987)
H. P. Breuer, F. Petruccione, The Theory of Open Quantum Systems, Lect. Notes Phys. (Oxford University Press, Oxford, 2002)
K. Kraus, Annals. Phys. 64, 311 (1971)
R. N. Mohapatra, P. B. Pal, Massive Neutrinos in Physics and Astrophysics, vol. 60 (Word Scientific Publishing, Singapore, 1998)
J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, New York, 1985)
P. B. Pal, Int. J. Mod. Phys. 22, 5387 (1992)
K. Eguchi et al. (KamLAND Collaboration), Phys. Rev. Lett. 100, 221803 (2008)
D. Hooper et al., Phys. Lett. B 75, 2650 (1995)
M. M. Guzzo, C. A. Moura, Astropart. Phys. 25, 277 (2006)
Y. Fukuda et al. (SK Collaboration), Phys. Rev. D 74, 032002 (2006)
P. Adamson et al. (MINOS Collaboration), Phys. Rev. D 73, 072002 (2006)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Oliveira, R.L.N., Guzzo, M.M. Quantum dissipation in vacuum neutrino oscillation. Eur. Phys. J. C 69, 493–502 (2010). https://doi.org/10.1140/epjc/s10052-010-1388-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-010-1388-1