Meson Quark Model: Exploring q & S Combinations

In summary: The pion is made of quarks (u,d) while the muon is a lepton, so it is not made of quarks. Both particles have different masses, lifetimes and interactions with other particles. In summary, a pion is a meson made of quarks and a muon is an elementary lepton with different properties and interactions.
  • #1
Flavia
14
0
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
 
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  • #2
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.
 
  • #3
Ok thanks! get it.

What is the differences between pion and muon?
 
  • #4
A pion is a meson whereas a muon is part of a group of particles called leptons.
 
  • #5
Also, in our current understanding a pion is a composed particle (is a meson) while the muon is known as an elementary particle.
 

Related to Meson Quark Model: Exploring q & S Combinations

1. What is the Meson Quark Model?

The Meson Quark Model is a theoretical framework used in particle physics to describe the structure and interactions of subatomic particles called mesons. It is based on the idea that mesons are composed of two smaller particles called quarks, which have different properties such as electric charge and spin.

2. How does the Meson Quark Model explore q & S combinations?

The q & S in the Meson Quark Model refers to the combination of quarks and their spin states. Quarks can have a spin of either +1/2 or -1/2, and when combined in a meson, their spins can add up to either 0 or 1. The model explores different combinations of quarks and their spins to explain the properties and behavior of mesons.

3. What are the main features of the Meson Quark Model?

The main features of the Meson Quark Model include the concept of quarks as fundamental building blocks of mesons, the use of symmetry principles to predict the properties of mesons, and the classification of mesons based on their quark content and spin states.

4. How does the Meson Quark Model contribute to our understanding of particle physics?

The Meson Quark Model has been instrumental in explaining the properties and behavior of mesons and other subatomic particles. It has also led to the discovery of new particles and has helped in the development of the Standard Model of particle physics, which is the current best theory to describe the fundamental building blocks of matter and their interactions.

5. Can the Meson Quark Model be applied to other particles besides mesons?

Yes, the principles of the Meson Quark Model can be extended to other particles such as baryons, which are composed of three quarks. This has led to the development of the Quark Model, which is a more general framework for understanding the structure and interactions of all subatomic particles.

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