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Recoilless resonant absorption of a monochromatic neutrino beam for measuring Δm<inf>31</inf><sup>2</sup> and θ<inf>13</inf>

Abstract:

We discuss, in the context of precision measurement of Δm 312 and θ13, physics capabilities enabled by the recoilless resonant absorption of a monochromatic antineutrino beam enhanced by the Mössbauer effect recently proposed by Raghavan. Under the assumption of a small relative systematic error of the level of a few tenths of a per cent between measurements at different detector locations, we give analytical and numerical estimates of the sensitivities to Δm 312 and sin2 2θ13. The accuracies of their determination are enormous; the fractional uncertainty in Δm312 achievable by ten point measurement is 0.6% (2.4%) for sin2 2θ13 = 0.05, and the uncertainty of sin2 2θ13 is 0.002 (0.008) both at 1σ confidence level (CL) with the optimistic (pessimistic) assumption of systematic error of 0.2% (1%). The former opens a new possibility of determining the neutrino mass hierarchy by comparing the measured value of Δ 312 with that from accelerator experiments, while the latter will help to resolve the θ23 octant degeneracy. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.