- #1

Nusc

- 760

- 2

## Homework Statement

Derive the efficiency for production of a particle of rest mass m made by colliding a 'bullet' particle of mass M with a stationary target particle mass N.

## Homework Equations

ans is k^-1 =1 + (m+2M)/2N

## The Attempt at a Solution

[tex]

\bf{P_1} + \bf{P_2} = \bf{P}

[/tex]

[tex]

\bf{P}^2 = \bf{P_1}^2 + \bf{P_2}^2 + 2\bf{P_1}\cdot \bf{P_2}

[/tex]

[tex]

\bf{P_1}\cdot \bf{P_2} = c^2 M N \gamma(v)

[/tex]

[tex]

\bf{P}^2 = m^2 c^2 - p^2

[/tex]