12.07.2015 Views

Definition of cross sections 1 - Moodle

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The SLBW formula 4The first values <strong>of</strong> the shift factor φ l are written asφ 0φ 1= a̷λ= a̷λ −1−tana̷λ(33)φ 2 = a̷λ −tan −1 ̷λ( a̷λ) 2.3−3aWe have used the diffusion radius a different from the hard sphere radius R introducedearlier. In general, the ratio a/̷λ is small with respect to one, and the potential <strong>cross</strong> sectioncomponent σp 0 for s wave interactions is almost equal to the classical value corresponding toa “billiard-ball" collision:(34)σ 0 p = 4πa2 .ENE6101: Week 4 Cross <strong>sections</strong> – 27/37

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