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FIZIKA B 11 (2002) 1, 49-56
AN EXPLANATION OF POSSIBLE NEGATIVE MASS-SQUARE OF NEUTRINOS
TSAO CHANGa and GUANGJIONG NIb
aCenter for Space Plasma and Aeronomy Research, University of
Alabama in Huntsville, Huntsville, AL 35899, USA
Email: changt@cspar.uah.edu
bDepartment of Physics, Fudan University, Shanghai, 200433,
China and
Department of Physics, Portland State University, Portland, OR 97207, USA
Received 30 April 2001; revised manuscript received 30 October 2001
Accepted 19 November 2001 Online 25 May
2002
The recent data of mass-square for the electron neutrino and the muon neutrino are
probably negative. Motivated by this fact, we have further investigated the hypothesis
that neutrinos are superluminal fermions. A tachyonic Dirac-type equation is further
studied. This equation is equivalent to two Weyl equations coupled together via nonzero
mass while respecting the maximum parity violation. It reduces to one Weyl equation when
the neutrino mass becomes zero.
PACS numbers: 03.65.-w, 03.30.+p, 14.60.St
UDC 539.123
Keywords: mass-square of neutrinos, Dirac equation, tachyonic fermions
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