Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determination of the Neutrino Mass Hierarchy via the Phase of the
  Disappearance Oscillation Probability with a Monochromatic \bar{\nu}_e Source   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 $\bar{\nu}_{e}$ absorption reaction enhanced by M\"ossbauer
effect. The unique feature of this setup is the ultra-monochromaticity of the
observed \bar{\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 experiment
can be carried out in order also to achieve high precision (few %)
determination of the solar-scale oscillation parameters \Delta m^2_{21} and
\theta_{12}.

15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph