
Twobody reactions, such as elastic scattering, neutron inelastic
scattering to a level, or (p,n) to a discrete level, obey simple
kinematical formulas that couple the outgoing energy E' ,
the incident energy E, and the scattering cosine μ.
The parameters for twobody collisions are shown below in both
centerofmass and laboratory reference frames:

The nonrelativistic kinematical formulas can now be written as
follows:

If the incident and scattered particles are the same, A'=1,
and these formulas reduce to the more familiar set often given
for neutron scattering. The elastic reaction corresponds to
A'=1 and Q=0. Note that the energyangle distribution of the emitted particle and the full energyangle distribution of the recoil nucleus are completely determined by A, A', Q, and the angular distribution f(E,μ). 
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15 December 2012  T2 Nuclear Information Service  ryxm@lanl.gov 