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Definition of cross sections 1 - Moodle

Definition of cross sections 1 - Moodle

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<strong>Definition</strong> <strong>of</strong> <strong>cross</strong> <strong>sections</strong> 11. The trajectory <strong>of</strong> a neutron in a material is a straight line which can be interrupted by anuclear interaction with a nucleus <strong>of</strong> the material.2. The neutron-nucleus collision can result in a variety <strong>of</strong> nuclear reactions (such as theelastic scattering reaction).3. The concept <strong>of</strong> <strong>cross</strong> section is used to describe the probability <strong>of</strong> each type <strong>of</strong> nuclearreaction. The probability for a neutron located at r and moving in a material at velocityV n to undergo a nuclear reaction in a differential element <strong>of</strong> trajectory ds isindependent <strong>of</strong> the past history <strong>of</strong> the neutron and is proportional to ds.Let’s consider a one-speed and parallel beam <strong>of</strong> neutrons <strong>of</strong> intensity I neutrons per unitsurface and unit time. The beam hits perpendicularly a target <strong>of</strong> width ds. The targetcontains a unique type <strong>of</strong> nuclide with a number density <strong>of</strong> N nuclei per unit volume.I (cm-2 s-1)N (cm-3)ENE6101: Week 4 Cross <strong>sections</strong> – 3/37ds

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