[Physics] Why don’t protons just bounce off each other in the LHC

collisionlarge-hadron-colliderparticle-physics

Ok, this might sound like a silly question, but I was wondering, when particles (e.g. protons) are smashed together in the LHC, why do they break up into dozens of other particles, as opposed to just bouncing off of each other elastically?

I'm guessing the full explanation is probably going to involve some fairly in-depth quantum analysis of particle interactions, but can anyone explain it in a fairly straightforward way that someone who isn't an expert in QM can understand?

Presumably, there will be some threshold energy level below which this doesn't happen? For example, I assume protons in a lower-energy hydrogen plasma will be bouncing off each other all the time?

Best Answer

Elastic collisions do happen at the LHC. The TOTEM experiment measures the differential cross section (rate as a function of angle) for proton-proton elastic scattering at the LHC. Here is their latest result. They don't publish an estimate of the elastic cross section, but according to their data it must be at least 25 mb (millibarns) (my first version of this post had a mistake--the headline 100 mb number shown in the abstract is a measure of the total pp cross-section which includes both elastic and inelastic contributions). Compare this to the production cross-section of the Higgs boson at the same collision energy, which is about 20 pb (picobarns). This means that when two protons collide at 8 TeV, they are over a billion times more likely to bounce off each other than they are to produce a Higgs boson.

As others have pointed out, the general-purpose detectors like CMS and ATLAS are not designed to detect the elastic collisions. The elastic collisions occur mostly at forward angles, meaning the protons are just barely deflected from their original trajectory (think of a glancing collision between two billiard balls rather than a head-on collision), while the more exotic physics tends to produce particles that go more perpendicular to the beam direction.

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