Question

In: Physics

I heard somewhere that quarks have a property called 'colour' - what does this mean?

I heard somewhere that quarks have a property called 'colour' - what does this mean?

Solutions

Expert Solution

You heard well. But note that this doesn't have anything to do with real color. The reason that property was so named is because of accidental similarities to how color mix and because certain physicist have a weird sense of humor.

Quantum electrodynamics

Note that the thing they are talking about is color charge. So it seems useful to first review properties of normal (electric) charges. Let's talk about electrons for instance. We know from classical physics that charged objects produce electromagnetic field around them and this field in turn affects charged particles. In quantum theory one has to quantize this field. The quantum of electromagnetic field is photon and so quantum theory tells us that charged objects interact electromagnetically by exchanging photons

Read the image from left to right. Electron radiates photon, this makes it change direction and the other electron absorbs it changing direction too. This is the way quantum theory explain electromagnetic interaction.

Quantum chromodynamics

Note: the discussion below will not be technically precise because of inherent complexity of quantum theory. I'll elaborate on certain points in a separate paragraph after this.

With the above knowledge under our belts, it's not that hard to describe Quantum chromodynamics (from greek ?????, chroma meaning color) anymore. Instead of electric charge, objects can carry so called color charge. But there is not just one of them, but three: red, green, blue (yes, this is one of the superficial similarities to usual color).

Okay, we need one more ingredient in our theory -- something that would replace photons. Such a particle exists and it is called gluon. But note that while it was enough to have only one kind of photon (because there was only one electric charge), we need more gluons to mediate various types of interactions (e.g. interaction between red quark and blue quark, which would be mediated by red-antiblue gluon, and so on). So we have nine type of gluons in total, right? Well, there are actually only eight of them and this is one of the technicalities that I'll address later.

Note that quantum chromodynamics predicts that bound states of colored particles have to be "white" meaning that it should e.g. contain three particles, one red, one blue and one green (this is another similarity with the real color mixing). "White" particles containing three quarks are called baryons and you should know at least two of them: protons and neutrons. Actually, it turns out that there is more than one quark type (six actually) and you get various particles by mixing different kinds of them. Two lights quarks are called up and down. Proton contains two ups and one down while neutron contains one up and two downs. Okay, let's see how this works:

This is pretty complicated diagram because I wasn't able to find anything simpler, but let me try to explain what's going on. The incoming proton's blue quark emits blue-antired gluon and by doing that changes to red and also change direction a little. This gluon is then caught by its red down quark and this changes it to blue and throws it out of the proton. Similar thing happens with the green up quark, the only difference being that in the end antiblue up is thrown out of the proton. So we have blue-antiblue up/down pair. This is a color neutral particle and it is called pion.

From the point of view of the neutron, exactly the same discussion applies, so I hope this is at least a little clear by now. What that picture actually explained is how proton - neutron strong interactions in nucleus are explained from the point of view of quantum chromodynamics.


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