FIZIKA B 11 (2002)  1, 49-56

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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: [email protected]

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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