WAVE PACKET APPROACH TO THE EQUAL-ENERGY/MOMENTUM/VELOCITY PRESCRIPTIONS OF NEUTRINO OSCILLATION

Author:

TAKEUCHI YOSHIHIRO1,TAZAKI YUICHI1,TSAI S. Y.1,YAMAZAKI TAKASHI1

Affiliation:

1. Atomic Energy Research Institute and Department of Physics, College of Science and Technology, Nihon University, Kanda-Surugadai, Chiyoda-ku, Tokyo 101, Japan

Abstract

Neutrino oscillation is discussed with emphasis placed more on its conceptual aspects. After reviewing the two conventional formulations, referred to as the equal-energy prescription and the equal-momentum prescription, wave packet treatments are developed for each of these two prescriptions. Both wave packets localized in space and those localized in time are considered, and, by invoking relativistic kinematics as well, the necessary conditions for oscillation to occur are derived, which appear to have a form more well-defined and quantitative than what have been noted before. Some phenomenological implications suggested by the wave packet treatments are briefly mentioned. Finally, as a possible third prescription, the equal-velocity prescription is given.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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1. Quantum Field Theory of Neutrino Oscillations;Physics of Particles and Nuclei;2020-01

2. Covariant asymmetric wave packet for a field-theoretical description of neutrino oscillations;Modern Physics Letters A;2015-07-23

3. Time-to-Space Conversion in Neutrino Oscillations;Old and New Concepts of Physics;2007-02-06

4. WAVE PACKETS AND QUANTUM OSCILLATIONS;International Journal of Modern Physics A;2004-02-20

5. ON THE MASS NEUTRINO PHASE ALONG THE GEODESIC LINE AND THE NULL LINE IN CURVED AND FLAT SPACETIME;International Journal of Modern Physics D;2003-04

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