BARRIER PENETRATION



BOSONS AND FERMIONS!

Unlike fermions, of which matter is made, bosons are not conserved in number, and can appear out of nothing and disappear into nothing. Any number of identical bosons can be put into the same state, or into the same region of space, whereas only one of a set of identical fermions can be put into a given state, or into a small volume of space.  Forces are "made out of" bosons!

A Feynman diagram, depicting the interaction of two positively charged particles interacting by exchange of a “virtual” photon. Remember that photons are both chargeless and massless.


Fundamental particles carry an intrinsic quantum number called “spin,” which we will say more about in the next chapter. The majority of bosons have “spin 1,” while the fermions that make up matter have “spin-1/2.” The associated quantum number is ms The bottom line is that since bosons do not obey an exclusion principle, any number of identical bosons can be put into the same state. But fermions obey the exclusion principle, so (for example, for our one-dimensional bound system) the quantum numbers n, ms must differ for each identical fermion. For spin-1/2 there are two different possible values for ms, so two identical fermions can occupy each different n state.  All force bosons discovered so far have spin 1.




Feynman diagram for the weak interaction between an electron and a neutrino, mediated by the Z0 boson. Since this boson has a mass 90 times the mass of a proton, its creation out of nothing is highly improbable, which is what makes the weak interaction weak. Also, the large mass of the boson makes the range of the interaction very short, basically zero... compared to the electromagnetic interaction which has infinite range. The range of an interaction mediated by a boson of mass m is roughly (ℏc)/(mc2).


Every fundamental particle in nature has a corresponding antiparticle, which has the same mass, but can differ in other properties, for instance charge. The electron has an antiparticle, the positron, which has a positive charge. The proton has an antiparticle, the anti-proton, which has a negative charge. And so on. It is not unusual for a particle to be its own antiparticle, the obvious example being the photon (γ).


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