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Two-body 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
. The parameters for two-body collisions
are shown below in both center-of-mass and laboratory reference
frames:
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The non-relativistic kinematical formulas can now be written as
follows:
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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 energy-angle distribution of the emitted particle
and the full energy-angle distribution of the recoil nucleus are
completely determined by A, A', Q, and the
angular distribution f(E, |
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| 23 January 1998 | T-2 Nuclear Information Service | ryxm@lanl.gov |