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• W2048207922 abstract "The neutrino mass hierarchy can be determined, in principle, by measuring a phase in the disappearance oscillation probability in vacuum, without relying on the matter effect, using a single channel. This phase is not the same for the normal and inverted neutrino mass spectra. In this paper, we give a complete description and physics understanding of the method. The key feature of the method is to detect advancement (normal) or retardation (inverted) of the phase of the atmospheric-scale oscillation relative to the solar-scale oscillation. We then show that this method can be realized with the recently proposed resonant ${overline{ensuremath{nu}}}_{e}$ absorption reaction enhanced by the Mossbauer effect. The unique feature of this setup is the ultramonochromaticity of the observed ${overline{ensuremath{nu}}}_{e}$'s. Because of this feature, the phase advancement or retardation of atmospheric-scale neutrino oscillation is detectable after 20 or more oscillations if the source and the target are made sufficiently compact in size. A quantitative estimate of the sensitivity to mass hierarchy resolution is given. We have also examined how a possible continuation of such an experiment can be carried out in order also to achieve high precision (few percent) determination of the solar-scale oscillation parameters $ensuremath{Delta}{m}_{21}^{2}$ and ${ensuremath{theta}}_{12}$." @default.
• W2048207922 created "2016-06-24" @default.
• W2048207922 creator A5031499385 @default.
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• W2048207922 date "2007-09-17" @default.
• W2048207922 modified "2023-10-16" @default.
• W2048207922 title "Determination of the neutrino mass hierarchy via the phase of the disappearance oscillation probability with a monochromatic<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mover accent=true><mml:mi>ν</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>e</mml:mi></mml:msub></mml:math>source" @default.
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• W2048207922 doi "https://doi.org/10.1103/physrevd.76.053004" @default.
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