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Neutron Interactions with Matter

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Title: Neutron Interactions with Matter


1
Neutron Interactions with Matter
  • Professor Jasmina Vujic
  • Lecture 9 - Chapter 9
  • Nuclear Engineering 162
  • Department of Nuclear Engineering
  • University of California, Berkeley

2
NEUTRON INTERACTIONS WITH MATTER
  • Neutrons are neutral and hence can travel
    appreciable distances in matter just like photons
    without interacting
  • Neutrons are mostly exponentially by matter -
    (for small thicknesses and un-collided beams)
  • Neutrons can also collide with atomic nucleus,
    which can scatter it, either elastically or
    inelastically
  • Elastic Scattering - when the kinetic energy is
    conserved Inelastic Scattering (n, n') when
    the target nucleus absorbs some energy internally
    and acquire excited state

3
NEUTRON INTERACTIONS WITH MATTER
  • A neutron can be captured or absorbed by a
    nucleus leading to (n, p), (n, 2n), (n, a), (n,f)
    or (n, ?) Charged-Particle Reactions, Neutron
    Producing Reactions and Radiative Capture
  • A fast neutron loses energy in matter by a series
    of mostly elastic scattering events. The slowing
    down process is called neutron moderation
  • As the neutron slows down, the capture
    probability by nucleus increases
  • As the neutron slows down to thermal energies, it
    will move about randomly by elastic scattering
    until absorbed by a nucleus

4
ELASTIC SCATTERING
  • Elastic scattering is most important process for
    slowing down neutrons the contribution by
    inelastic scattering is usually small in
    comparison
  • The maximum energy that a neutron of mass m and
    kinetic energy can transfer to a nucleus M in a
    single (head-on) elastic collision is given by

5
Maximum Fraction of Energy Lost, Qmax/En
byNeutron in a single collision
The average number of elastic scattering
collisions needed for 2 MeV neutron to slow down
to thermal energies 1H 18 collisions 2H 25
collisions 4He 40 collisions U gt 2000 collisions
6
Neutron Interactions and Cross Sections
  • Neutrons may interact with nuclei in one or more
    of the following ways
  • Elastic Scattering, (n,n)
  • Inelastic Scattering, (n,n)
  • Radiative Capture (absorption) (n,?)
  • Charged-Particle Reactions (absorption) (n,a)
    (n,p)
  • Neutron-Producing Reactions (absorption) (n,2n)
  • Fission (absorption) (n.f)

7
NUCLEAR REACTIONS Cross Sections
  • One projectile and one target
  • n projectiles per cm3 and N targets per cm3

8
NUCLEAR REACTIONS Reaction Rates
  • The reaction rate is defined as the total number
    of collisions between an incoming particle
    (projectile) and nuclei (targets) per unit volume
    and unit time

9
NUCLEAR REACTIONS Cross Sections
  • Types of Cross Sections

Absorption cross section Scattering cross
section Total cross section
10
Neutron Attenuation
  • The intensity of the beam of uncollided neutrons
    after penetrating the distance x in the material
    with the total macroscopic cross section, Et

11
Neutron Attenuation
  • The average distance that a neutron moves between
    collisions is called the mean free path
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