Difference between revisions of "Limits based on Mandelstam Variables"
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| + | <center><math>\textbf{\underline{Navigation}}</math> | ||
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| + | [[U-Channel|<math>\vartriangleleft </math>]] | ||
| + | [[VanWasshenova_Thesis#Moller_Scattering|<math>\triangle </math>]] | ||
| + | [[Limits_based_on_Mandelstam_Variables|<math>\vartriangleright </math>]] | ||
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| + | </center> | ||
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=Limits based on Mandelstam Variables= | =Limits based on Mandelstam Variables= | ||
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| + | Since the Mandelstam variables are the scalar product of 4-momenta, which are invariants, they are invariants as well. The sum of these invariant variables must also be invariant as well. Find the sum of the 3 Mandelstam variables | ||
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| + | <center><math>s+t+u=(4(m^2+\vec p \ ^{*2}))+(-2 p \ _1^{*2}(1-cos\ \theta))+(-2 p \ _1^{*2}(1+cos\ \theta))</math></center> | ||
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| + | <center><math>s+t+u=4m^2</math></center> | ||