How to form a J^{PC} = 1^{-} state with only gluons?

In summary, in QCD, a gluon can convert into two gluons with C=+1, but not with C=-1. Gluons have intrinsic P=-1 and for multiple gluons, P=(-1)^N times (-1)^L for each orbital angular momentum. The J^{PC} value for gluons can get complicated as it involves adding up their spin and orbital angular momentum. Additionally, the gluon cannot be its own antiparticle due to its color charge.
  • #1
BuckeyePhysicist
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How to form a J^{PC} = 1^{--} state with only gluons?

Two gluons? Three ?

How do the P, C, J values work?
 
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  • #2
In QCD, one gluon can convert into two gluons, so the gluon must have C=+1, and there is no way to get any number of gluons with C=-1.
One photon cannot convert into two photons because c=-1 for a photon.

Gluons, as vector particles, have intrinsic P=-1. For N gluons,
P=(-1)^N times (-1)^L for each orbital angular momentum. This gets complicated for more than three gluons.

J can get complicated. You have to add up the gluons spin and orbital angular momentum, much like many electron atoms, or many nucleon nuclei.
 
  • #3
Why in PDG booklet, gluon has J^{PC} value as 1^-, where C is abscent?
 
  • #4
The gluon has color charge, so it can't be its own antiparticle and can't be a C eigenstate.
 

1. How can a state with only gluons have a specific quantum number like J^{PC} = 1^{-}?

The quantum number J^{PC} = 1^{-} refers to the total angular momentum, parity, and charge conjugation of a particle. While gluons themselves are spin-1 particles, their collective interactions and configurations can result in a J^{PC} state. This is similar to how protons and neutrons, which are made up of quarks, can have well-defined quantum numbers.

2. What is the significance of forming a J^{PC} = 1^{-} state with only gluons?

Forming a J^{PC} = 1^{-} state with only gluons is important for understanding the properties and behavior of gluons, which are the carriers of the strong nuclear force. This can provide insight into the structure of the strong force and its role in the formation of hadrons (particles made up of quarks and gluons).

3. Can this J^{PC} = 1^{-} state be observed experimentally?

Yes, this J^{PC} = 1^{-} state can be observed experimentally through the production and decay of particles. For example, experiments at the Large Hadron Collider (LHC) have observed J^{PC} = 1^{-} states composed of gluons in collisions between protons.

4. Are there any limitations to forming a J^{PC} = 1^{-} state with only gluons?

While it is theoretically possible to form a J^{PC} = 1^{-} state with only gluons, it is a difficult task and has not yet been achieved in experiments. This is because gluons have a property called color charge, which makes it difficult to isolate them from other particles and form a pure state.

5. How does forming a J^{PC} = 1^{-} state with only gluons relate to the overall understanding of quantum chromodynamics (QCD)?

QCD is the theory that describes the strong nuclear force and the interactions of quarks and gluons. By forming a J^{PC} = 1^{-} state with only gluons, scientists can test and validate the predictions of QCD and further our understanding of the fundamental forces of nature.

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