Definition of cross sections 1 - Moodle
Definition of cross sections 1 - Moodle
Definition of cross sections 1 - Moodle
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The SLBW formula 1The single level Breit and Wigner (SLBW) formulas result from the application <strong>of</strong> theSchrödinger equation to a compound nucleus model with a single excitation level. With thismodel, variations in <strong>cross</strong> <strong>sections</strong> are related to the width and energy characteristics <strong>of</strong> thisexcited level.For reactions involving the absorption <strong>of</strong> the incident neutron, such as radiative capture orfission, the SLBW formula is written in term <strong>of</strong> the reduced energy variable(27)u = 2 γ 1(e exc −e 1 )as(28)whereσ x (e exc ) = σ 0γ x,1γ 111+u 2γ x,1 = resonance width <strong>of</strong> the excited level for an absorption reaction <strong>of</strong> type xγ 1 = total resonance width <strong>of</strong> the excited levele 1 = energy <strong>of</strong> the excited level in the CM relative to the ground level <strong>of</strong> the target nucleus.ENE6101: Week 4 Cross <strong>sections</strong> – 24/37
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