What Are Fermions and Bosons in the Meson Quark Model?

[Flavia]

1) What is mean by fermion with half integer spin and boson with integer spin

Is that fermion, 1/2,3/2...
boson, 1,2,3

2) Why meson don't have q = +1, S = -1 or q = -1, S = +1 in term of quark model

 

[Einj]

1) Yes, the term "fermion" is referred to particle that have half integer spin (as you said 1/2, 3/2 and so on), while "boson" is referred to particle with integer spin. This have many consequences. First of all the wave function of N fermions must be antisymmetric under exchange of any two of this N fermions, while for bosons it has to be symmetric.

2) In term of quark model a "meson" is a particle composed by a quark and an anti-quark. There are six quarks in nature and their quantum numbers are (considering only charge and strangeness):

UP (u) Q=+2/3 S=0
DOWN (d) Q=-1/3 S=0
CHARM (c) Q=+2/3 S=0
STRANGE (s) Q=-1/3 S=-1
TOP (t) Q=+2/3 S=0
BOTTOM (b) Q=-1/3 S=0

The only way to have a meson with strangeness is to include a strange or anti-strange quark in its composition. So for example, if you want a meson with S=-1 you have to put a strange quark, but for the composition of mesons, the other element must be a anti-quark and as you can see from the list there is no way you can have a total charge Q=+1. The same reasoning is valid for the other combination S=+1 Q=-1.

 

[Flavia]

Ok thanks! get it.

What is the differences between pion and muon?

 

[tensor33]

A pion is a meson whereas a muon is part of a group of particles called leptons.

 

[Einj]

Also, in our current understanding a pion is a composed particle (is a meson) while the muon is known as an elementary particle.