Neutrino Oscillations in Intermediate States. I : Plane Waves
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概要
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In this series of papers, we discuss neutrino oscillations in the framework of the quantum field theory. Considering the fact that a neutrino can be indirectly detected through collisions, we investigate neutrino oscillations using the time evolution of the total transition probability between the initial state and the final state in a finite time interval, where a neutrino appears in the intermediate state. We study a simple scalar model which has two scalar particles in the initial state, two scalar particles in the final state, and two other kinds of scalar particles with mixed masses in the intermediate state. In this first paper (I), we derive the oscillations of the intermediate states in the case that all the particles are plane waves with definite momenta. We find that oscillation occurs in the total transition probability over a finite time interval, contradicting the belief that no oscillation appears in field theoretical treatments due to strict energy conservation. These oscillations are generated through a slight violation of energy conservation due to the finite time interval effect, and disappear in the limit of an infinite time interval. From the oscillation amplitudes and probabilities of plane waves, we find that the differential probability has the structure in momentum space of the observed particles in the asymptotic region, where the total probability does not oscillate with time, and the differential probability has no structure in the intermediate region where the probability oscillates with time.
- 理論物理学刊行会の論文
- 2002-08-25
著者
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Ishikawa Kenzo
Department Of Physics Tohoku University
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Ishikawa Kenzo
Deparment Of Physics Hokkaido University
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YABUKI Tetsuo
Rakuno Gakuen University
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Yabuki T
Rakuno Gakuen Univ. Ebetsu Jpn
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Yabuki Tetsuo
Faculty Of Environment Systems Rakuno Gakuen University
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Ishikawa Kenichi
Science And Engineering Research Laboratory Waseda University
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ISHIKAWA Kenzo
Department of Physics, Tohoku University:Institute for Nuclear Study, University of Tokyo
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