Quark Flow diagrams - when is it Strong/EM/Weak?

In summary: In this case, it is clear that the strong interaction is stronger, so the process occurs through that channel.
  • #1
Silversonic
130
1

Homework Statement



(1) Indicate whether the following process (if possible) occurs due to the strong, weak or electromagnetic interation.

[itex] \pi^{-} p → \pi^{-} \pi^{+} n [/itex]

(3) Sketch Quark flow diagrams for the following, stating whether it's due to EM, weak or strong interaction;

[itex] K^{*+} → K^{+} \pi^{0} [/itex]

The K*+ is an excited state of the K+, it has the same quark composition.

The Attempt at a Solution



I'm having a hard time understanding whether you can know the first question is a strong or weak interaction. My answer tells me that because it's dealing only with hadrons, it is therefore the strong interaction. However, the weak interaction (W+-) is able to couple to quark pairs (e.g. [itex] u [/itex] and [itex]\bar{d}[/itex]). The emission of a W boson also changes the quark flavour.

So in the first interaction, wouldn't it be possible for the [itex] \pi^{-} [/itex] to just be an "observer" particle, while an up quark in the proton decays via the weak interaction into a down quark (changing the proton into a neutron), and thus this W+ boson subsequently couple to a [itex] u [/itex] and [itex]\bar{d}[/itex] pair creating the [itex] \pi^{+} [/itex] meson?
The second question also has me stumped. It shows the one of the quarks of the [itex] K^{*+} [/itex] meson decaying via the strong interaction, emitting a gluon which subsequently produces the [itex] \pi^{0} [/itex]. However, why can't this process happen exactly the same way with electromagnetic interaction? One of the quarks of the [itex] K^{*+} [/itex] decays via electromagnetic interaction, emitting a virtual photon and this virtual photon subsequently couples to a quark, antiquark pair producing the [itex] \pi^{0} [/itex]. I don't see any violation at all? So why must it be the strong force? Hell, the same could happen with the weak interaction using the Z boson.
 
Last edited:
Physics news on Phys.org
  • #2
For the second one - you want to know why the K* cannot just decay electromagnetically to produce a photon, which then somehow becomes a quark-antiquark pair?
How would a photon do that?
 
  • #3
Simon Bridge said:
For the second one - you want to know why the K* cannot just decay electromagnetically to produce a photon, which then somehow becomes a quark-antiquark pair?
How would a photon do that?

Can pair production not do this? I'm told that the electromagnetic propagator is able to couple to a quark and anti quark pair (just like with electrons and positron pairs).

So far we've been twisting Feynman diagrams and replacing particles with antiparticles moving in the opposite direction in time. So maybe it's not pair-production of quarks but a manipulation of diagrams describing the photoelectric effect or annihilation?
 
  • #4
Have you included the different symmetries?
 
  • #5
Simon Bridge said:
Have you included the different symmetries?

Apologies for the necrobump. I saw what you said but I decided I'd wait a few weeks until I read over my material again to see if I'd understand it. Unfortunately I do not. When you mention symmetries you might be mentioning something outside the scope of what I've learnt. We've just learned a very basic way of twisting Feynman diagrams to represent some interactions as others.

For instance, annihilation involves two differently charged leptons coming towards each other and annihilating each other to produce a photon. We have altered this by changing the positron into an electron moving in the opposite direction, then twisted the diagram Feynman diagram 90 degrees so it looks like an electron emitting a photon (Bremsstrahlung).

As far as I can gather from my notes, it is possible for a photon to couple into a quark-antiquark pair. Even an official textbook tells me "In strong and electromagnetic interactions quarks and anti quarks are only created or destroyed in particle-antiparticle pairs".

So what is wrong with the possibility I have mentioned?The only thing I could think of is that actually it is possible through Strong and Electromagnetic interactions, but as Strong has a shorter lifetime we just go with that.
A side note: My lecturer seems to conclude that if Isospin (I_3) and strangeness are conserved in an interaction, it must be Strong. However, both of these are conserved in EM too. Also, Weak CAN conserve these two (but not always). So I don't see that implication "Conservation of I_3 and S" --> "Strong interaction process". It must be down to whichever has the shortest lifetime?
 
Last edited:
  • #6
In general, if a process can occur through different channels, you look at the relative strengths of the interactions.
 

1. What is a Quark Flow diagram and how does it work?

A Quark Flow diagram is a visual representation of particle interactions involving quarks. It shows the flow of quarks, gluons, and other particles in a specific process. The diagram uses arrows to indicate the direction of the particles and lines to represent the type of interaction between them.

2. What determines the strength of the interaction in a Quark Flow diagram?

The strength of the interaction in a Quark Flow diagram is determined by the fundamental forces of nature - strong, electromagnetic, and weak. The strength of each force depends on the type of particles involved and the distance between them. The strong force is the strongest, followed by the electromagnetic and weak forces.

3. When is the strong force dominant in a Quark Flow diagram?

The strong force is dominant in a Quark Flow diagram when the particles involved are quarks and gluons. This is because the strong force is responsible for holding quarks together to form protons, neutrons, and other hadrons. It is also the force that binds quarks and gluons within these particles.

4. When does the electromagnetic force play a role in a Quark Flow diagram?

The electromagnetic force plays a role in a Quark Flow diagram when the particles involved have an electric charge. This force is responsible for the attraction or repulsion between particles with opposite or like charges, respectively. In a Quark Flow diagram, the electromagnetic force is typically involved in interactions between quarks and leptons.

5. How does the weak force manifest in a Quark Flow diagram?

The weak force manifests in a Quark Flow diagram through interactions between particles that have weak charges, such as quarks and leptons. This force is responsible for processes such as radioactive decay and plays a crucial role in the dynamics of the early universe. In a Quark Flow diagram, the weak force is typically represented by wavy lines.

Similar threads

Replies
1
Views
779
  • Advanced Physics Homework Help
Replies
3
Views
5K
  • Advanced Physics Homework Help
Replies
1
Views
3K
  • Advanced Physics Homework Help
Replies
1
Views
701
  • Advanced Physics Homework Help
Replies
1
Views
1K
  • Advanced Physics Homework Help
Replies
14
Views
7K
  • High Energy, Nuclear, Particle Physics
Replies
4
Views
2K
  • Advanced Physics Homework Help
Replies
2
Views
1K
  • Advanced Physics Homework Help
Replies
13
Views
7K
  • Advanced Physics Homework Help
Replies
1
Views
3K
Back
Top