A Proton, [tex]m_{1}[/tex] with Kinetic energy T = 200MeV strikes a stationary proton in the lab frame.(adsbygoogle = window.adsbygoogle || []).push({});

p + p -> p + p + X

what is the maximum mass of X, which can be produced.

I think I need to make use of [tex]E^2 - P^2 c^2[/tex] is invariant.

and

In S: [tex]E = (m_{1} + m_{0})c^2 , p = p_{1}[/tex]

In S ' :

[tex]E^2 - P^2 c^2 = E^2_{1}+ 2m_{0}E_{1}c^2 + m^2_{0}c^4 -T^2 (1) where E_{1} = T + m_{0}c^2[/tex]

I'm not sure what is happening in the centre of mass frame, I thought that the particle would have maximum mass when there was zero K.E i.e [tex]E' = (2m_{0} + m_{x})c^2, p' = 0[/tex] in the lab frame but I got lost when I tried to equate this with (1).

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Relativity - proton-proton collision

**Physics Forums | Science Articles, Homework Help, Discussion**