| THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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Flavor State of the Neutrino: Conditions for a Consistent Definition |
| RONG Shu-Jun**, LIU Qiu-Yu
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Department of Modern Physics, University of Science and Technology of China, Hefei 230026
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| Cite this article: |
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RONG Shu-Jun, LIU Qiu-Yu 2011 Chin. Phys. Lett. 28 121401 |
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Abstract Similar to Blasone et al. [Phys. Rev. D 72 (2005) 013003] by examining the expectation value of the flavor charge under the normalized flavor state of the neutrino, we demonstrate that the introduction of the flavor state is consistent with the flavor charge only when the conditions, i.e. (A) |p|=0 (the low energy case), or |p|/mi≫1 (the relativistic case) and (B) the flavor state should be defined of the Pontecorvo form |νe〉=cosθ|ν1〉+sinθ|ν2〉 or equivalently except a global phase, are satisfied. The root of the issue lies in the structure of the flavor charge operator. The diagonalization of the flavor charge operator with the integer eigenvalue can be realized through the Bogoliubov–Valatin transformation when condition A is satisfied. The eigenstate of the diagonalized flavor charge is of the Pontecorvo form under condition B.
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| Keywords:
14.60.Pq
03.70.+k
03.65.-w
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Received: 13 July 2011
Published: 29 November 2011
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