Parity in the \eta to two photon decay

In summary, parity conservation in the decay \eta \rightarrow \gamma \gamma is not a linear addition of the individual parities. Rather, it is determined by the relative plane polarizations of the two photons, which can be derived using Clebsch-Gordan coefficients. The two-photon state must be written as a superposition of two states, where each state has the photons with anti-parallel spins and different alignments with the photon momentum. This results in a relative parity between the two states, which determines the overall parity of the wavefunction. Parity conservation in this decay was first demonstrated by Yang.
  • #1
fliptomato
78
0
Greetings, I'm curious about parity conservation in the decay[tex]\eta \rightarrow \gamma \gamma[/tex]. The [tex]\eta[/tex] has odd parity, while the product of the two photon parities (each is odd) is even. Now, parity is conserved in the EM interactions, so there must be a factor of (-1) coming in from orbital angular momentum factors--but the two photon final state has no orbital angular momentum. What am I missing here?
 
Physics news on Phys.org
  • #2
IN SHORT : PARITY DOES NOT ADD UP LINEARLY...

I mean : in order for the two-photon state to have J = 0 (conservation of J we must write it as a superposition of two states A and B. Each state has the two photons with anti-parallel spins and in state A the photonspin is aligned with the photon-momentum, in B photon spin is opposite wrt photon momentum. You can derive these states by using the Clebsch-Gordan coefficients.

A photon has indeed parity -1 but since we are working with a superposition of TWO photonstates, the parity is relative. If you had just a single two-photon state then parity would be -1 * -1 but because of the superposition, it is the parity from state A with respect to state B that determins the actual parity of the entire wavefunction...

regards
marlon

More to be found here
 
  • #3
fliptomato said:
Greetings, I'm curious about parity conservation in the decay[tex]\eta \rightarrow \gamma \gamma[/tex]. The [tex]\eta[/tex] has odd parity, while the product of the two photon parities (each is odd) is even. Now, parity is conserved in the EM interactions, so there must be a factor of (-1) coming in from orbital angular momentum factors--but the two photon final state has no orbital angular momentum. What am I missing here?

In \eta-->2\gamma, there is orbital angular momentum l=1, which gives the factor (-1)^l. The angular momentum addition for the photon spins must be S=1+1=1, and then l+S=1+1=0.
The eta decay is the same as the pi^0 decay. The parity of the pi^0, and of the eta^0, were determined by the relative plane polarizations of the two photons, which can be found from the spin addition 1+1=1.
This was first done by Yang.
 

1. What is parity in the η to two photon decay?

Parity is a symmetry operation that determines whether a physical system is unchanged when viewed in a mirror image. In the η to two photon decay, parity refers to the conservation of this symmetry during the decay process.

2. Why is parity important in the η to two photon decay?

Parity is important in the η to two photon decay because it helps us understand the fundamental interactions of particles and the laws of physics. It also plays a crucial role in determining the selection rules for the decay and can provide insights into the underlying dynamics of the process.

3. How is parity determined in the η to two photon decay?

Parity is determined by looking at the angular distribution of the decay products, specifically the photons. If the distribution is symmetric under mirror reflection, the parity is said to be even (or +1). If it is asymmetric, the parity is odd (or -1).

4. What is the significance of parity violation in the η to two photon decay?

Parity violation in the η to two photon decay can provide evidence for new physics beyond the Standard Model. It is a rare occurrence that can shed light on the fundamental symmetries of the universe and can lead to new discoveries and theories.

5. How do scientists study parity in the η to two photon decay?

Scientists study parity in the η to two photon decay by analyzing the decay products and measuring their angular distribution. They also use sophisticated detectors and statistical methods to determine the parity of the decay and compare it to theoretical predictions. Additionally, experiments can be designed to specifically test for parity violation in the decay process.

Similar threads

  • Advanced Physics Homework Help
Replies
1
Views
2K
  • High Energy, Nuclear, Particle Physics
Replies
10
Views
2K
  • Advanced Physics Homework Help
Replies
4
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
2K
  • Advanced Physics Homework Help
Replies
4
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
3K
  • Advanced Physics Homework Help
Replies
13
Views
7K
Replies
2
Views
2K
  • Advanced Physics Homework Help
Replies
6
Views
3K
Replies
3
Views
882
Back
Top