  We study the possible indirect neutrino signal from dark matter annihilations
inside the solar interior for relatively light dark matter masses in the O(10)
GeV range. Due to their excellent energy reconstruction capabilities, we focus
on the detection of this flux in liquid argon or magnetized iron calorimeter
detectors, proposed for the next generation of far detectors of neutrino
oscillation experiments and neutrino telescopes. The aim of the study is to
probe the ability of these detectors to determine fundamental properties of the
dark matter nature such as its mass or its relative annihilation branching
fractions to different channels. We find that these detectors will be able to
accurately measure the dark matter mass as long as the dark matter
annihilations have a significant branching into the neutrino or at least the
tau channel. We have also discovered degeneracies between different dark matter
masses and annihilation channels, where a hard tau channel spectrum for a lower
dark matter mass may mimic that of a softer quark channel spectrum for a larger
dark matter mass. Finally, we discuss the sensitivity of the detectors to the
different branching ratios and find that it is between one and two orders of
magnitude better than the current bounds from those coming from analysis of
Super-Kamiokande data.
