Are conserved the spin and orbital parts of the angular momentum?

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SUMMARY

The discussion centers on the conservation of angular momentum, specifically the spin (S) and orbital (L) components, in particle decay scenarios, such as a particle decaying into two photons. It is established that while total angular momentum (J) is conserved, the conservation of spin and orbital angular momentum individually is still a topic of debate. Some participants suggest that spin may transform into orbital angular momentum, which could have implications for theories in black hole thermodynamics and quantum gravity. The consensus leans towards the idea that both S and L can be treated as conserved quantities in certain contexts.

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jonjacson
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¿Are conserved the spin and orbital parts of the angular momentum?

For example , we have a particle decay into two photons, and you want to see if the angular momentum is conserved:

J(total angular momentum)=S(spin)+L(orbital)

The question is:

-¿only total J is conserved? (and s or l can change)

or

-¿S is conserved and L is conserved also?

Thanks
 
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It's not known. All our theories assume that angular momentum and spin are conserved independently, but they are ready to incorporate the principle, that only the sum of the two values is conserved.

I personally think that spin can transform into orbital angular momentum. This fits nicely into black holes thermodynamics and maybe is necessary for Quantum Gravity.
 


haael said:
It's not known. All our theories assume that angular momentum and spin are conserved independently, but they are ready to incorporate the principle, that only the sum of the two values is conserved.

I personally think that spin can transform into orbital angular momentum. This fits nicely into black holes thermodynamics and maybe is necessary for Quantum Gravity.

I didn't know that, so I understand that the answer is yes, s and l are conserved quantities, I suppose that in the exam of nuclear and particle physics the teacher will use this.

Thanks.
 

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