Question

Protons with kinetic energy `T` strike a stationary hydrogen target. Find the threshold values of `T` for the following reactions:
(a) `p+prarr p+p+p+ overset~p` , (b) `p+prarr p+p+pi^(0)`.

Answer 1

(a)For `p+prarrp+p+p+barp`
`TgeT_(th)=(16m_(p)^(2)-4m_(p )^(2))/(2m_(e ))c^(2)=6m_(p)c^(2)= 5.63 GeV`
(b) For `p+prarrp+p+pi^(o)`
`Tge T_(th)=((2m_(p)+m_(pi^(0))^(2))-4m_(p)^(2))/(2m_(p))c^(2)`
`=((2m_(pi)+m_(pi^(o))^(2))/(2m_(p)))c^(2)= 0.280GeV`