Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-08-02
J. Phys. G: Nucl. Part. Phys. 37 (2010) 105014
Physics
High Energy Physics
High Energy Physics - Phenomenology
27 pages,7 figures, iopart class. Includes minor corrections made in proofs. References updated
Scientific paper
10.1088/0954-3899/37/10/105014
We present a covariant wave-packet approach to neutrino flavor transitions in vacuum. The approach is based on the technique of macroscopic Feynman diagrams describing the lepton number violating processes of production and absorption of virtual massive neutrinos at the macroscopically separated space-time regions ("source" and "detector"). Accordingly, the flavor transitions are a result of interference of the diagrams with neutrinos of different masses in the intermediate states. The statistically averaged probability of the process is representable as a multidimensional integral of the product of the factors which describe the differential flux density of massless neutrinos from the source, differential cross section of the neutrino interaction with the detector and a dimensionless factor responsible for the flavor transition. The conditions are analyzed under which the last factor can be treated as the flavor transition probability in the usual quantum-mechanical sense.
Naumov Dmitry V.
Naumov Vadim A.
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