- #1
kudoushinichi88
- 129
- 2
Homework Statement
For a scattering problem A + A - > B + B in the Toy Theory,
Need to show
[tex](p_4-p_2)^2-m_C^2c^2=p_4^2+p_2^2-2p_4\cdot p_2 = -\vec{\textbf{p}}^2(1-\cos\theta)[/tex]
Homework Equations
this is assuming [itex]m_A=m_B=m[/itex] and [itex]m_C=0[/itex]
The Attempt at a Solution
[tex]p_4^2+p_2^2=2m^2c^2[/tex]
but I'm not sure how to do
[tex]p_4\cdot p_2[/tex]
do i work with
[tex]\sqrt{\left( \frac{E_4^2}{c^2} - \vec{\textbf{p}}_4^2 \right) \left( \frac{E_2^2}{c^2} - \vec{\textbf{p}}_2^2 \right)}[/tex]
?