- #1
LagrangeEuler
- 717
- 20
- Homework Statement
- Proton of energy 76,4GeV colides with the proton with the proton that staying in the rest. How to find energy and momentum in center of momentum frame? And from that how to find the maximal number of protons and antiprotons that could appear from that.
- Relevant Equations
- Center of momentum frame is the one very sum over momentum of particles is equal to zero vector.
[tex]\sum_i \vec{p}_i=\vec{0}[/tex]
To my mind because one particle has momentum ##\vec{p}## and the other one ##\vec{0}##. It is for instance necessary to find reference frame where one momentum will be for instance ##\frac{1}{2}\vec{p}## and the momentum of other particle should be ##-\frac{1}{2}\vec{p}##. So it is necessary to find fram that is moving with some velocity left according to lab system. However it is also possible to get that if momentum of one particle ##\frac{3}{4}\vec{p}## and ##-\frac{1}{4}\vec{p}##. Energies in that two cases are different. So I am confused with that...
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