Available energy (particle collision)

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In particle physics, the available energy is the energy in a particle collision available to produce new matter from the kinetic energy of the colliding particles. Since the conservation of momentum must be held, a system of two particles with a net momentum may not convert all their kinetic energy into mass - and thus the available energy is always less than or equal to the kinetic energy of the colliding particles. The available energy for a system of one stationary particle and one moving particle is defined as:

 E_a = \sqrt{2 m_t c^2 E_m + (m_t c^2)^2 + (m_k c^2)^2}

where

mt is the mass of the stationary target particle,
mk is the mass of the moving particle,
Em is the kinetic energy of the moving particle, and
c is the speed of light.

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