Understanding S-Wave and P-Wave Annihilation

  • Context: Graduate 
  • Thread starter Thread starter fliptomato
  • Start date Start date
  • Tags Tags
    Annihilation
Click For Summary
SUMMARY

S-wave and P-wave annihilation refer to the orbital angular momentum of the initial state in quantum mechanics, specifically in quantum field theory (QFT). S-wave corresponds to L=0 (sharp spectral lines), while P-wave corresponds to L=1 (principal spectral lines). The discussion highlights the significance of parity in hyperon radiative decays, noting that the S-wave contribution is parity violating, whereas the P-wave contribution is parity conserving. Understanding these concepts is essential for grasping the behavior of hadrons under strong interactions.

PREREQUISITES
  • Quantum Mechanics (QM) fundamentals
  • Quantum Field Theory (QFT) principles
  • Orbital angular momentum concepts
  • Parity violation and conservation in particle physics
NEXT STEPS
  • Study the implications of S-wave and P-wave contributions in particle decay processes
  • Research the intrinsic parity of hadrons and its significance
  • Explore the role of CP violation in semi-leptonic decays
  • Examine the historical context of spectral line notation in quantum physics
USEFUL FOR

Physicists, students of quantum mechanics and quantum field theory, and researchers interested in particle decay processes and the properties of hadrons.

fliptomato
Messages
78
Reaction score
0
Greetings--what is meant by "s-wave" or "p-wave" annihilation? I've been trying to figure out what this refers to by looking through the standard QM and QFT texts, but I keep missing this. Does anyone have a handy reference I can look up?

Thanks,
Flip
 
Physics news on Phys.org
fliptomato said:
Greetings--what is meant by "s-wave" or "p-wave" annihilation? I've been trying to figure out what this refers to by looking through the standard QM and QFT texts, but I keep missing this. Does anyone have a handy reference I can look up?

Thanks,
Flip
s-wave and p-wave refer to the orbital angular momentum of the initial state.
The notation is related to early spectroscopic notation, with the connection:

Spectral line type
s wave L=0 Sharp
p wave L=1 Principal
d wave L=2 Diffuse
f wave L=3 Fine
and so on.

Oldtimers remember that it came from the appearance of spectral lines.
 
Hi there, I have a more interesting question about s and p-wave amplitudes.

Why the s-wave contribution to hyperon radiative decays is parity violating and the p-wave contribution is parity conserving?

Not sure I can get an answer here but at least I tried :p.
 
zelrik said:
Not sure I can get an answer here but at least I tried :p.
Indeed, I do not think this is where you should ask your question.

It seems the reason you cannot solve your problem is because you do not know the parity assignment following the knowledge of the spin of a hadron in its ground state. We can calculate this parity because we know (or assume, since it has been safe so far) that strong interactions respect parity, and hadrons are bound by the strong interaction. Please note that, the reason those hyperon decay are interesting is because they are not purely strong (we say semi-leptonic) and violate CP (the P violation in their decay is not the same in charge conjugate channels). If you do not know the intrinsic parity of hadrons, please open a separate thread (or search in older threads).

If you know the intrinsic parity of hadrons, the above information provided by Meir Achuz should suffice to solve your question.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
728
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 31 ·
2
Replies
31
Views
9K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 71 ·
3
Replies
71
Views
7K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K