Dark matter rising in the sun

A couple of weeks ago, a question was asked on StemQ, about dark matter and the option for very massive objects to contain some of it. I sketched a first answer last week, here, where I explained that this option is very valid. Furthermore, there is even some dark matter locally around us, close to Earth and in the sun.

In this post, I will move on on this topic and focus on the usage of the sun as a probe for dark matter.

This extends an older post of mine (available here) and actually provides more details on how dark matter behaves in the sun.

I will however first briefly summarize the basics about dark matter and how we can conclude that there is some of it around us (just in the aim of making this blog article self-consistent).

I will then move on with the description of what dark matter can do in the sun and how a specific class of dark matter models, where dark matter particles self-interact with each other at an important rate, can be constrained thanks to our good old closest star.

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DARK MATTER 101

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As I said it many times, dark matter is a very important topic in particle physics and astrophysics research. For this reason, a general summary of the motivations behind it is useful. I refer to my former post for more details.

Dark matter is a key component in Standard cosmology.

Whilst its nature is still totally unknown, assuming its presence helps to get a very good agreement between data and theory, at a level alternatives cannot get to.

One of the main motivations behind dark matter is that it allows us to understand the motion of stars within galaxies.

Some invisible mass (dark matter) must be added to get the observed motion of the stars matching the predictions.

However dark matter also allows to describe gravitational lensing correctly. The presence of dark matter indeed explains the observed bending of light when it gets to us. In addition, dark matter is also a key component to understand the small temperature variations in the cosmic microwave background, the fossil radiation left over from the big bang.

And very importantly, dark matter is necessary to explain galaxy formation.

Without dark matter, it would have been impossible for matter to form galaxies and galaxy clusters as observed today.

The results of the cosmological simulations are crystal clear with this respect.

These simulations furthermore also show that there is some dark matter around us, locally, including inside our good old sun.

The are about 1000 tons of dark matter in the sun, to be compared with the total mass of the sun of 2 x 10²⁷ tons. A small number, but a number large enough to help physicists to understand dark matter better.

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THE LIFE OF DARK MATTER IN THE SUN

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The life of a dark matter particle entering either the sun, or Earth, or the solar system, is very easy to evaluate. Well maybe not that easy, but this is doable with the appropriate knowledge, as detailed here. Let us have a look on what could happen to a given dark particle entering the sun, Earth or any massive object.

First, it may happen that our dark matter particle hits an atomic nucleus belonging to the considered object.

It can then either be scattered and continue its route, or be captured inside it. This has a small chance to happen, as dark matter is very weakly interacting, but the chances are non zero.

If we integrate over the age of the solar system, we may thus really have a bunch of captured dark matter particles around here.

From there, captured dark matter can evaporate (or be ejected) by being hit by other nucleus (with some probabilities), or even annihilate when meeting another dark particle (with some probability again).

Finally, dark matter may also be self-interacting in some models. In this case, the self-interactions contribute to the above-mentioned capture and evaporation processes, and modify their dynamics.

All the necessary rates can be calculated once the model is fixed, so that the evolution of dark matter can be predicted. And predictions can always be confronted to data…

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CONSTRAINING DARK MATTER WITH THE SUN AND EARTH

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The crucial point in what has been said above is that the way in which dark matter interacts within the sun, Earth or a planet, leads to a modification in the fluxes of dark matter reaching Earth.

And this is a very good news, as we have a bunch of experiments trying to observe dark matter through its direct detection with atomic nuclei that are parts of the detector material.

In practice, one takes some large amount of a given material and puts cameras around it.

The interaction rate of dark matter with normal matter is tiny, so that considering big (actually very big) detectors is needed to maximize the chances of observing anything.

In general, dark matter particles do not interact with the detector and just go through it.

However, it happens that once in a while, with a very tiny rate, a dark matter particle hits an atomic nucleus from the detector material.

The recoil of the nucleus can be observed, and from the properties of this recoil, one can get back to what happened.

The current status is that dark matter direct detection experiments have not detected any sign of dark matter, so that constraints are put on the dark matter fluxes reaching the observatories on Earth or on the rate at which dark matter would interact with normal matter.

As dark-matter self-interactions modify this, the current null results offer a way to further constrain the nature of the self-interactions of dark matter. In other words, what is going on in the sun, Earth or any massive body of the solar system, allows us to learn more about what dark matter dynamics could be and could not be.

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SUMMARY - TAKE-HOME MESSAGE

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In this post, I first briefly review the motivations behind dark matter (motion of stars in galaxies, galaxy formation, the cosmic microwave background, etc.), which leads us to conclude that there were some dark matter in our solar system. As a second step, I detailed what could happen with this dark matter present in particular in the sun, Earth or any massive object. The interesting fact is that this could be useful for actual searches for dark matter.

A specific class of dark matter models, featuring self-interacting dark matter, leads to dark matter fluxes on Earth (resulting from what is going on inside Earth and the sun) that would challenge the current non-observations of anything. As a result, it turns out that dark matter self-interactions, even if very popular today, are more constrained than what we could naively think. Those conclusions stem from the dark matter dynamics inside the massive objects of our solar system that I have described in this post.

I recommend the reading of this recent paper appeared a couple of weeks ago where more details are provided.

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