Feynman Amplitude and Scattering Cross-Section for a Toy Theory

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Amplitude and differential cross sections for two-body scattering are calculated using a second-order Feynman diagram of a toy theory (no spin, no charge, no polarization, no color) in the center of mass system. The graphs show the Feynman amplitude ℳ and the differential cross section dσ/dΩ as functions of the scattering angle θ, in radians. You can vary the mass of the exchanged virtual particle and see how the curves behave.

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The general relation between differential cross section and Feynman amplitude is: .

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Contributed by: Caique Ronqui (December 2014)
Open content licensed under CC BY-NC-SA


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Reference

[1] J. D. Griffiths, Introduction to Elementary Particles, Weinheim, Germany: Wiley-VCH Verlag GmbH, 2008. doi:10.1002/9783527618460.



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