Conditions for Statistical Determination of the Neutrino Mass Spectrum in Radiative Emission of Neutrino Pairs in Atoms

Abstract

The photon spectrum in macrocoherent atomic de-excitation via radiative emission of neutrino pairs (RENP) has been proposed as a sensitive probe of the neutrino mass spectrum, capable of competing with conventional neutrino experiments. In this paper we revisit this intriguing technique in order to quantify the requirements for statistical determination of some of the properties of the neutrino spectrum, in particular the neutrino mass scale and the mass ordering. Our results are sobering. We find that, even under ideal conditions, the determination of neutrino parameters needs experimental live times of the order of days to years for several laser frequencies, assuming a target of volume of order 100 cm3 containing about 10^21 atoms per cubic centimeter in a totally coherent state with maximum value of the electric field in the target. Such conditions seem to be, as of today, way beyond the reach of our current technology.

11 pages, 5 figures

References in corpus (11)

• Phenomenology with Massive Neutrinos
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Limit on Neutrinoless ββ Decay of Xe-136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge-76
• Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6E20 protons on target
• Physics Potential of a Long Baseline Neutrino Oscillation Experiment Using J-PARC Neutrino Beam and Hyper-Kamiokande
• Combined analysis of ${\nu }_{\mu }$ disappearance and ${\nu }_{\mu }\to {\nu }_e$ appearance in MINOS using accelerator and atmospheric neutrinos
• Search for Neutrinoless Double-Beta Decay of ${}^{130}$Te with CUORE-0
• Quantifying the sensitivity of oscillation experiments to the neutrino mass ordering
• Baseline optimization for the measurement of CP violation, mass hierarchy, and ${\theta }_{23}$ octant in a long-baseline neutrino oscillation experiment
• Solitons and Precision Neutrino Mass Spectroscopy
• Results on neutrinoless double beta decay from GERDA Phase I

Cited by in corpus (15)

• Flavor structures of charged fermions and massive neutrinos
• Addressing the Majorana vs. Dirac Question with Neutrino Decays
• Topological carnival: electrically-powered motions of toron crystallites in chiral liquid crystals
• Inferring the nature of active neutrinos: Dirac or Majorana?
• Probing Cosmic Axions through Resonant Emission and Absorption in Atomic Systems with Superradiance
• Coherent two-photon emission from hydrogen molecules excited by counter-propagating laser pulses
• Improved Statistical Determination of Absolute Neutrino Masses via Radiative Emission of Neutrino Pairs from Atoms
• Probing Light Mediators in the Radiative Emission of Neutrino Pair
• Shining Light on the Mass Scale and Nature of Neutrinos with $e\gamma \to e\nu \overline{\nu }$
• Unique Probe of Neutrino Electromagnetic Moments with Radiative Pair Emission
• Superradiant Searches for Dark Photons in Two Stage Atomic Transitions
• Testing unitarity of the $3\times 3$ neutrino mixing matrix in an atomic system
• Disentangle Neutrino Electromagnetic Properties with Atomic Radiative Pair Emission
• Propagation studies for the construction of atomic macro-coherence in dense media as a tool to investigate neutrino physics
• Probing Cosmic Neutrino Background through Parametric Fluorescence