• Support PF! Buy your school textbooks, materials and every day products Here!

Relativistic Dalitz Plot

  • #1
1. Homework Statement

Decay of particle A into three particles of equal mass, prove that the Dalitz plot is a equilateral triangle with height Q/2, inscribed within a triangle with height Q.

2. Homework Equations

Q = MassA - 3(MassB)

3. The Attempt at a Solution

For relativistic kinematics, T (kinetic energy) is = E = p (in natural units)

I'm not sure where to go from here. Thanks,
 

Answers and Replies

  • #2
clem
Science Advisor
1,308
15
The Dalitz plot is not a triangle unless A decays into massless particles, or A is so much heavier than B that Bhas E>>M. Then as you write E~p for each decay particle. Also then, Q=M_A.
The maximum energy of any decay particle is when the other two are in the opposite direction with equal energy. This should get you the maximum energy of any decay particle, which you can relate to the altitude of the triangle.
 

Related Threads for: Relativistic Dalitz Plot

  • Last Post
Replies
0
Views
1K
  • Last Post
Replies
2
Views
999
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
998
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
1
Views
966
  • Last Post
Replies
2
Views
757
Top