Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Temperature Dependence of Solar Neutrino Fluxes   By comparing neutrino fluxes and central temperatures calculated from 1000
detailed numerical solar models, we derive improved scaling laws which show how
each of the neutrino fluxes depends upon the central temperature (flux $\propto
T^m$); we also estimate uncertainties for the temperature exponents. With the
aid of a one-zone model of the sun, we derive expressions for the temperature
exponents of the neutrino fluxes. For the most important neutrino fluxes, the
exponents calculated with the one-zone model agree to within 20\% or better
with the exponents extracted from the detailed numerical models. The one-zone
model provides a physical understanding of the temperature dependence of the
neutrino fluxes. For the $pp$ neutrino flux, the one-zone model explains the
(initially-surprising) dependence of the flux upon a negative power of the
temperature and suggests a new functional dependence. This new function makes
explicit the strong anti-correlation between the $^7$Be and $pp$ neutrino
fluxes. The one-zone model also predicts successfully the average linear
relations between neutrino fluxes, but cannot predict the appreciable scatter
in a $\Delta \phi_i/\phi_i$ versus $\Delta \phi_j/\phi_j$ diagram.

19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int