Initial states ppbar can proceed to npi^0 with parity conserved

Click For Summary
SUMMARY

The discussion focuses on the initial states of the ppbar system relevant to the reaction ppbar -> npi^0, specifically analyzing states such as 1^S_0, 3^S_1, and others. It establishes that the reaction is governed by strong interactions, which conserve isospin, limiting possible initial states to those with isospin I=0 or 1. The parity of the ppbar system is derived as P(ppbar)=(1)(-1)^l, and the parity for n=2 is expressed as P(npi^0)= (-1)^(J+n-1). The notation for atomic orbitals, such as 1^S_0, indicates a singlet state with total orbital angular momentum of 0, aligning with conventions from quantum mechanics.

PREREQUISITES
  • Understanding of strong interactions in particle physics
  • Knowledge of isospin conservation principles
  • Familiarity with parity in quantum mechanics
  • Basic grasp of atomic orbital notation
NEXT STEPS
  • Research strong interaction dynamics in particle-antiparticle reactions
  • Study isospin conservation and its implications in particle physics
  • Learn about parity transformations and their role in quantum states
  • Explore atomic orbital notation and its application in quantum mechanics
USEFUL FOR

Particle physicists, quantum mechanics students, and researchers analyzing strong interactions and quantum state notations.

Jamiemma1995
Messages
8
Reaction score
0
I'm working on some stuff for particle physics and I had a few questions I wanted to ask .

Heres the outline of the problem :

Establish which initial states of the ppbar system amongst 1^S_0, 3^S_1, 1^P_1, 3^P_0, 3^P_1, 3^P_2, 1^D_2, 3^D_1, 3^D_2, 3^D_3
the reaction ppbar->npi^0 can proceed for a) any n , b) n=2

Here are my questions

1) would I be correct in saying that this is a strong interaction because particle -antiparticle reactions are governed by the strong interaction which then means that Isospin is conserved and so as ppbar has isospin I=0 or 1 then the pion system must also have I= 0 or 1 and so we can limit which initial states are possible using this fact ?

2) I know that the parity of a proton is 1 , and so its antiparticle has parity -1 then I think that we can say that the parity of the ppbar system is
P(ppbar)=(1)(-1)^l where l is the total angular momentum of the ppbar system , is that right ?

3) pi^0 is a psuedoscalar so it has parity -1 which would then give the parity for n=2 case as P(pi^0pi^0)= (-1)(-1)^J=(-1)^(J+1) , where J = l+S , then extending this to the case where n is any number we could say that P(npi^0)= (-1)^(J+n-1), is this correct ?

4) my final question is about the notation of the atomic orbitals (I've never had to use them before , I do physics not chemistry ) say we have 1^S_0, Then I think what this means is that the superscript on the lhs indicates that it's a singlet and the subscript on the rhs tells us that its total orbital angular momentum is 0 , I'm not sure if that's correct though...additionally is there any further information we can take from knowing for instance that the ppbar starts in say the 1^S_0 state ?
 
Physics news on Phys.org
The strong interaction will dominate the process.

In general the option to have angular momentum will mean the conservation laws are easy to keep.

The notation looks strange - do you really have a state written as ##1^S_0## (that's what you wrote)? The notation should follow the notation for electron orbitals.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
3K
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
4
Views
2K
  • · Replies 0 ·
Replies
0
Views
1K
  • · Replies 16 ·
Replies
16
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K