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Definition of cross sections 1 - Moodle

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<strong>Definition</strong> <strong>of</strong> <strong>cross</strong> <strong>sections</strong> 61. Each type <strong>of</strong> nuclear reaction is characterized by a specific microscopic <strong>cross</strong> sectionσ x which is also function <strong>of</strong> the type <strong>of</strong> nuclide and on the velocity or kinetic energy <strong>of</strong>the neutron. However, the potential <strong>cross</strong> section is independent <strong>of</strong> neutron energy.2. An elastic neutron-nucleus collision is characterized by an elastic scattering <strong>cross</strong>section σ e . This reaction includes both potential and resonant elastic collisions.3. The symbol Q represents the energy produced by a nuclear reaction in the form <strong>of</strong>kinetic energy. In a threshold reactions, Q is negative and the nuclear reaction canoccur only if e exc ≥ −Q. If a scattering reaction has a threshold energy −Q, thecompound nucleus is left excited after the collision and decay with gamma rayemission <strong>of</strong> energy −Q (short half life). This is the inelastic scattering <strong>cross</strong> section(σ in ).The scattering <strong>cross</strong> section σ s is written σ s = σ e +σ in + ∑ x≥2 σ n,xn.σtotalσsσe σin σn,2n σ n,3n σfσγσασpscattering(n,xn)absorptiontransmutationENE6101: Week 4 Cross <strong>sections</strong> – 8/37

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