# Particle physics problem

1. Feb 5, 2008

### neelakash

1. The problem statement, all variables and given/known data

In the following reaction, the incident Kaon has kinetic energy of 1.63GeV.Calculate the total energy to be divided between the four recoiling particles.

$$\bar{K}^-\ +$$$$\ p ^+$$ $$\rightarrow$$$$\Sigma^-\ +$$ $$\pi^+\ +$$$$\pi^-\ +$$$$\pi^+$$

Given Given mass energy of pi meson=139.6MeV, $$\Sigma$$=1197.3MeV, proton=938.3MeV and kaon=493.8 MeV

2. Relevant equations
3. The attempt at a solution

Using conservation of energy straightway, we get

493.8+938.3+1630=(3x139.6)+3(T_pi)+1197.3+(T_Sigma)
This gives, 3(T_pi)+(T_sigma)=1446

Now,it appears that we are to use conservation of momentum;but I am having difficulty in finding out the appropriate equation.Since, the particles are charged, they might move in the opposite direction.

Last edited: Feb 6, 2008