Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-refraction of supernova neutrinos: mixed spectra and three-flavor
  instabilities   Neutrinos in a core-collapse supernova undergo coherent flavor
transformations in their own background. We explore this phenomenon during the
cooling stage of the explosion. Our three-flavor calculations reveal
qualitatively new effects compared to a two-flavor analysis. These effects are
especially clearly seen for the inverted mass hierarchy: we find a different
pattern of spectral "swaps" in the neutrino spectrum and a novel "mixed"
spectrum for the antineutrinos. A brief discussion of the relevant physics is
presented, including the instability of the two-flavor evolution trajectory,
the 3-flavor pattern of spectral "swaps," and partial nonadiabaticity of the
evolution.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an