What exactly do we see on the famous neutrino image of the sun?

An answer to the question If we could build a neutrino telescope, what would we see? contains a link to a neutrino image of the sun by the Super-Kamiokande neutrino detector.

There it says that the image actually covers a large part of the sky of about 90x90 degrees. As the diameter of the sun from earth is around one half of a degree, it must be that many of the neutrinos didn't come straight at us. This seems surprising (to me), as neutrinos should hardly interact with the atmosphere. Maybe the central few pixels of the image are extremely much brighter than the others, but this image doesn't show the difference between those and the surrounding pixels? Or is something else going on?

• Two answers below are very good. But basically, the reason is the same for which stars do not look pointlike, but have a finite size: any astronomical instrument has a finite resolution, from the worst (SK!!) to the best (VLBI, $10^{-4}$ arcsec), so that any source smaller than the angular resolution appears as large as the angular resolution. And, BTW, solar neutrinos come from the inner 10% of the Sun's mass, which has a radius of a few percent of the total solar radius. – MariusMatutiae Sep 12 '14 at 14:19

The detector that took that image--Super Kamiokande (super-K for short)--is a water Cerenkov device. It detects neutrinos by imaging the Cerenkov cone produced by the reaction products of the neutrinos. Mostly elastic scattering off of electrons: $$\nu + e \to \nu + e \,,$$ but also quasi-elastic reactions like $$\nu + n \to l + p \,,$$ where the neutron comes from the oxygen and $l$ means a charged lepton corresponding to the flavor of the neutrino (for energy reasons always an electron from solar neutrinos, but they also get muons from atmospheric and accelerator neutrinos---Super-K is the far detector for T2K).

Then you reconstruct the direction in which the lepton was moving (which is correlated with but not identical to the direction the neutrino was going). This indirect pointing method accounts for the very poor angular resolution of the image.

The neutrinos are coming straight at us. Indeed, their interactions with anything along the way are minimal at best.

The reason the image is so big is that the angular resolution of the detector is rather poor (compared to, say, an optical telescope). This is not unexpected when it comes to neutrino telescopes. The details of how the detector work are complicated, but for instance Wikipedia notes there are only about 11,000 photomultiplier tubes (essentially pixels) involved. And I would be surprised if neutrinos' directions could be localized even that well.

By the way, the neutrinos produced in the Sun come from nuclear reactions, and so they are only produced in the core. A high-angular-resolution neutrino image of the Sun would be rather smaller than the optical image.