Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neutrino oscillations in low density medium   For the case of small matter effects: $V \ll \Delta m^2/2E$, where $V$ is the
matter potential, we develop the perturbation theory using $\epsilon \equiv
2VE/\Delta m^2$ as the expansion parameter. We derive simple and physically
transparent formulas for the oscillation probabilities in the lowest order in
$\epsilon$ which are valid for arbitrary density profile. The formulas can be
applied for propagation of the solar and supernova neutrinos in matter of the
Earth, substantially simplifying numerical calculations. Using these formulas
we study sensitivity of the oscillation effects to structures of the density
profile situated at different distances from the detector $d$. We show that for
the mass-to-flavor state transitions, {\it e.g.}, $\nu_2 \to \nu_e$, the
sensitivity is suppressed for remote structures: $d > l_{\nu} E/\Delta E$,
where $l_{\nu}$ is the oscillation length and $\Delta E/E$ is the energy
resolution of detector.

19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph