Velocity dependent fermion number?

In summary, the conversation discusses the interpretation of the momentum distribution and fermion density in a bound state with valence and sea quarks. The question also arises about the number of constituents in the bound state, with an example of four quarks and three antiquarks, and whether this number is affected by velocity. The response states that the bound state is in an eigenstate of the difference between the number of quarks and antiquarks, but not the sum. The question of whether antiparticles should be counted with a plus or minus is also raised, along with the consideration of velocity-dependence.
  • #1
blue2script
47
0
Hi all!
Just a short question I am wondering about. Take a bound state with some valence and sea level. The momentum distribution of the valence quarks and antiquarks has a very direct interpretation. But what about the fermion density? Say the fermion number of the valence quarks is 4 and for the valence antiquarks its -3 (making up a fermion with fermion number 1). Can I say that the constituents making up the bound state are four quarks and three antiquarks? If so, what if this number depends on the velocity? Is there any physical interpretation for such a behaviour?

Thank you very much in advance!

With best regards,
Blue2script
 
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  • #2
A hadron is in an eigenstate of N(q) - N(qbbar). It's not in an eigenstate of N(q) + N(qbbar).
 
  • #3
Ok, but that depends on if you count the fermion number of antiparticles with a plus or a minus? Anyway, what about the velocity-dependence?

Thank you!
Blue2script
 

Related to Velocity dependent fermion number?

1. What is velocity dependent fermion number?

Velocity dependent fermion number is a measure of the number of fermions in a system that are moving at a certain velocity. It takes into account the velocity of the fermions, as opposed to just their number, in order to provide a more accurate description of the system.

2. How is velocity dependent fermion number calculated?

The calculation of velocity dependent fermion number involves integrating over the momentum space of the fermions in the system, taking into account their velocity. This can be done using mathematical equations and models that describe the behavior of fermions.

3. What is the significance of velocity dependent fermion number?

Velocity dependent fermion number is important in understanding the behavior and properties of fermionic systems, such as in condensed matter physics or particle physics. It can provide insights into the interactions between fermions and their environment, and how their velocity affects these interactions.

4. How does velocity dependent fermion number differ from regular fermion number?

Regular fermion number simply counts the number of fermions in a system, regardless of their velocity. Velocity dependent fermion number takes into account the velocity of the fermions, providing a more detailed and accurate description of the system.

5. Can velocity dependent fermion number change over time?

Yes, velocity dependent fermion number can change over time as the velocity of fermions in a system can change due to external factors or interactions with other particles. This change in velocity can impact the overall velocity dependent fermion number of the system.

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