Abstract
A new scheme to determine the neutrino mass matrix is proposed using atomic de-excitation between two states of a few eV energy spacing. The determination of the smallest neutrino mass of the order of 1 meV and neutrino mass type, Majorana or Dirac, becomes possible, if one can coherently excite more than 1 gram of atoms using two lasers.
Highlights
Despite of remarkable success in oscillation experiments [1], neutrino physics has left more conundrums than what it has discovered and already established: major conundrums are how small the lightest neutrino mass is and whether neutrinos are Majorana or Dirac type of fermions. These two items are linked to important issues in macro- and micro- worlds: how our matter dominated universe was created and the unified theory beyond the standard SU (3) × SU (2) × U (1) gauge theory. In this respect it is crucially important to invent new experimental schemes of neutrino physics beyond the established technology based on nuclear targets, since they release too large energy of a few to several MeV, much larger than expected small neutrino masses in the sub-eV range
This is dominant since there are no mixing between large and small components of Dirac 4-spinor wave functions
With good quality of lasers of wave vectors, k1, k2, excited atoms maintain imprinted phases of ei(k1+k2)·x. This may be regarded as an initial atom having a momentum, k1 + k2 = peg, with macro-coherence the momentum conservation is changed to peg − k − p1 − p2 = 0 instead of k + p1 + p2 = 0 where p j, j = 1, 2 momenta of neutrino pair and k the momentum of observed photon
Summary
Despite of remarkable success in oscillation experiments [1], neutrino physics has left more conundrums than what it has discovered and already established: major conundrums are how small the lightest neutrino mass is and whether neutrinos are Majorana or Dirac type of fermions (the Majorana/Dirac distinction) These two items are linked to important issues in macro- and micro- worlds: how our matter dominated universe was created (the problem of baryon asymmetry of the present universe) and the unified theory beyond the standard SU (3) × SU (2) × U (1) gauge theory.
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