Calculating Cross Sections w/ Photon Spin States

In summary, when calculating unpolarised cross sections with external fermions, we average over initial spin states and sum over final spin states. This is because the photon, which has 3 spin states (1, 0, and -1), is a spin one particle and does not have m=0 due to being massless. The reason why we do not average over initial boson spin states and sum over final boson spin states is because the photon can only have spin states of +1 or -1, as its total angular momentum number is l=1. This means that m=0 is not a possible spin state. Additionally, the photon's spin axis is always along its direction of motion, making it impossible for the
  • #1
Bobhawke
144
0
When calculating unpolarised cross sections with external fermions we average over initial spin states and sum over final spin states. The photon has 3 spin states; 1, 0 and -1. My question is why don't we average over initial boson spin states and sum over final boson spin states when calculating cross sections?
 
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  • #2
I thought the photon only had spin states -1 and +1.
 
  • #3
I do avg over boson spin states as well as over fermions.
The photon is a spin one particle, but does not have m=0,
because it is massless.
 
  • #4
Why is it that the photon can only have +1 or -1 spin? Its total angular momentum number is l=1, I thought spin quantum number ranged from m= l, l-1, ... -l+1, -l, so m=0 should be a possible spin state too?
 
  • #5
semiclassical: There is no frame where which the photon is at rest, it's spin axis is always along its direction of motion.
 
  • #6
Do all of the 4 polarisation states of the photon correspond to spin states, two of which are unphysical and can be eliminated using gauge invariance? This Then leaves us with two spin states corresponding to right and left circular polarisations of the photon.
 
  • #7
one last bump, someone answer please!
 

Related to Calculating Cross Sections w/ Photon Spin States

What is a cross section in photon spin states?

A cross section is a measure of the probability of a specific interaction occurring between photons and particles with specific spin states. It is a measure of the effective area of interaction between the two particles.

How is the cross section calculated?

The cross section is calculated by taking the square of the amplitude for the interaction between the two particles and then dividing it by the flux of incident particles. This gives the probability of the interaction occurring per unit area.

What is the significance of calculating cross sections with photon spin states?

Calculating cross sections with photon spin states allows for a better understanding of the underlying physics of particle interactions and can help in the development of more accurate models and theories.

What is the role of photon spin states in calculating cross sections?

Photon spin states play a crucial role in calculating cross sections as they determine the overall probability of the interaction occurring and the resulting cross section value. Different spin states can result in different cross section values.

How are photon spin states experimentally determined?

Photon spin states can be experimentally determined through various methods such as scattering experiments, polarization measurements, and spin-dependent reactions. These methods allow for the determination of the spin state of photons and their role in calculating cross sections.

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