(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In a scattering experiment the square-root of

(i)Consider a proton of (relativistic) energy,E, incident on another proton in a stationary target. Show that in this case, s= 2m_p(m_p+E/c^2) where m_p is the proton mass.

(ii)Now consider 2 protons travelling with equal and opposite momenta, each of energy E which collide head-on. Calculate the value of s.

(iii)Using the answers to parts (i) and (ii) consider experiments with highly relativistic proton beams, and comment on the relative advantage of two colliding beams over a single beam incident on a fixed target, in searches for new undiscovered types of elementary particles

(iv)In what important way does the comparison in part (iii)differ here compared to the case of classical Galilean kinematics?

2. Relevant equations

s=(p1+p2)^2

E=pc

E=mc^2 (stationary proton)

E^2=p^2c^2+m_p ^2c^4 (moving proton)

3. The attempt at a solution

I've tried rearranging the formulae to get value of p for each proton, then subbing it into the first equation, but i just can seem to get it to work

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# Mandelstam variable

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