Collision between neutrons and nucleus of the moderator results in slowing down the newly born fast.

Collision between neutrons and nucleus of the moderator results
in slowing down the newly born fast neutrons. Such a collision is depicted in
the figure. The striking fast neutron has an initial energy En and
an initial momentum pn. The target nucleus is initially at rest.
Considering an elastic scattering, following the collision, the scattered
neutron has an energy of ‘ En and momentum of ‘ p n while
the recoiling nucleus has an energy of ‘ EN and momentum of ‘ N p.
Use the conservation of momentum and energy to drive a relation for energy of
the scattered neutron in terms of the initial
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Collision between neutrons and nucleus of the moderator results
in slowing down the newly born fast neutrons. Such a collision is depicted in
the figure. The striking fast neutron has an initial energy En and
an initial momentum pn. The target nucleus is initially at rest.
Considering an elastic scattering, following the collision, the scattered
neutron has an energy of ‘ En and momentum of ‘ p n while
the recoiling nucleus has an energy of ‘ EN and momentum of ‘ N p.
Use the conservation of momentum and energy to drive a relation for energy of
the scattered neutron in terms of the initial neutron energy and mass number of
the target nucleus. [Hint: Find the momentum of the recoiling nucleus in terms
of the momentum of the initial and the scattered neutron. Substitute for
momentum terms (p2 = 2mE) and for the recoiling energy from the
energy balance].

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