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Next: Example 2: Photon emission Up: Two-body kinematics Previous: Two-body kinematics

Example 1: Non relativistic limit

In this case, $T \rightarrow \frac{1}{2} m \beta^2 $, $\vec{p} \rightarrow m \vec{\beta}$, $\vec{p}/T \rightarrow 2\vec{\beta} /\beta^2$, and $F / \left( m_1+m_2 \right)^2 \rightarrow 0 $, then

\begin{eqnarray*}E_{\rm d} &=& \frac{m_1 m_2}{m_1 + m_2}
\left( \vec{\beta} _1 - \vec{\beta} _2 \right) ^2 .
\end{eqnarray*}




Susumu Shimoura
1999-12-27