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I am an High School student just curious about Physics. Im am planning to study it at University, but for now my knowledge is clearly very poor and non technical.

I was thinking...what would happen if two protons collide? I am not sure that my question has sense, so my apologies for that.

Thank you in advance.

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    $\begingroup$ Lots of pencils are worn down to a nub figuring out the exact answer to that and giant facilities (like the LHC) are built to test our predictions. But the short answer? Physics... physics happens $\endgroup$
    – Jim
    Commented Feb 4, 2015 at 18:41

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It depends on the energy of the collision of the protons.

For low energies the scattering is elastic, similar to bouncing balls off each other.

For high energies, elastic scattering still may happen, but there is high probability that particles will be created. The following is what happens when two protons collide at high energies in the LHC.

cms higgs candidate

A typical candidate event including two high-energy photons whose energy (depicted by dashed yellow lines and red towers) is measured in the CMS electromagnetic calorimeter. The yellow lines are the measured tracks of other particles produced in the collision.

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The answer depends on how exactly the protons collide. In many circumstances the results of the collision can be explained in terms of electromagnetic forces and classical scattering theory. As long as the protons remain far enough apart during the collision, then the protons can be treated like two positively charged classical point particles. Even in a "head-on" collision, if the collision is low-energy, the protons may very well remain far enough apart to be treated classically since (classically) the closest they can get to one another is approximately $d\sim \frac{ke^2}{E}$, where e is the unit electric charge, E is the initial kinetic energy of the colliding particles, and k is the electric force constant (i.e., the magnitude of the force between two charged particles a distance $R$ apart is $\frac{kQ_1Q_2}{R^2}$).

On the other hand, if the collision is energetic enough that the protons can approach each other more closely that about $10^{-15}$ meters, then the so-called "strong force" comes into play, and a lot of interesting things can start to happen. This regime is the subject of advanced quantum mechanics and particle physics. You can find a fairly accessible (relatively speaking) description of this topic in Griffith's book "Introduction to Elementary Particle".

Cheers.

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