# Difference between revisions of "Limits based on Mandelstam Variables"

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<center><math>s+t+u \equiv 4m^2</math></center> | <center><math>s+t+u \equiv 4m^2</math></center> | ||

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+ | Since | ||

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+ | <center><math>s \equiv 4(m^2+\vec p \ ^{*2})</math></center> | ||

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+ | This implies | ||

+ | |||

+ | <center><math>s \ge 4m^2</math></center> |

## Revision as of 23:42, 9 June 2017

# Limits based on Mandelstam Variables

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 when the two particles have equal mass in the center of mass frame gives:

Since

This implies