Towards Majorana neutrino spectroscopy M. Yoshimura Why atoms ? Another or perhaps a unique way of Majorana detection Measurement of absolute mass scale hep-ph/0611362 Possibility of detecting relic neutrino hep-ph/0703019
Significance of discovering Majorana neutrino Neutral fermions follow economic Majorana eq or the same Dirac eq as charged ? Leading to lepton number violation and lepto-genesis particle = anti-particle missing partner for leptogenesis Contributing to better understanding of seesaw mechanism and GUT
M vs D
Merits and demerits of atomic process Infinitely many small energies Small pair emission rate How to enhance; resonance by energy input strong field
Majorana vs Dirac equations: chirally projected solutions
Unique signature of Majorana = interference of identical fermions Effective only for pair emission Appear only (ii) threshold; proportional to m_i^2 Can be positive or negative Direct test of Majorana nature cf LV in
2 promissing atomic processes Low level metastable atoms laser irradiated Rydberg atoms microwave irradiated (not discussed here)
Neutrino pair emission from laser irradiated metastable state
Rough estimate of rate
Refinement
Threshold behavior 6 channels
Numerical estimate w.Y. Okabayashi Input angles and masses
Total rate / rate for massless Several % mass effects for 0.5 eV
Large mass effects
Theta_12 effect
Observability of relic neutrino w. T. Takahashi hep-ph/0703019 Pauli blocking effect
Magnitude of Pauli blocking
m_1 dependence for standard 1.9 K
Temperature measurement possible ?
12 threhold
Early universe probed by relic neutrino Decoupling temperature Early universe after neutrino decoupling and before e^+ annihilation Large lepton asymmetry Constraint on sterile neutrino Surprizes ?
Measuring the lepton asymmetry Definitive test of leptogenesis Extremely difficult, (12) or (13) threshold most promissing
Experiments are not easy Discovery of atomic pair emission Mass measurement M/D distinction Relic detection
Summary Discussed laser irradiated pair emission to determine the magnitude and the nature of neutrino masses Identical particle effect of Majorana particles Neutrino mass spectroscopy towards 1 meV range Relic neutrino search