Difference between revisions of "Limits based on Mandelstam Variables"
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(Created page with "=Limits based on Mandelstam Variables= <center><math>\Longrightarrow \left({\mathbf P_1^*}+ {\mathbf P_2^{*}}\right)^2=\left({\mathbf P_1^{'*}}+ {\mathbf P_2^{'*}}\right)^2\equi…") |
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<center><math>\Longrightarrow \left({\mathbf P_1^*}+ {\mathbf P_2^{*}}\right)^2=\left({\mathbf P_1^{'*}}+ {\mathbf P_2^{'*}}\right)^2\equiv s</math></center> | <center><math>\Longrightarrow \left({\mathbf P_1^*}+ {\mathbf P_2^{*}}\right)^2=\left({\mathbf P_1^{'*}}+ {\mathbf P_2^{'*}}\right)^2\equiv s</math></center> | ||
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+ | In the center of mass frame, the momentum of the particles interacting are equal and opposite, i.e. <math>p_1=-p_2</math>. However, the 4-momentum still retains an energy component, which as a scalar quantity, can not be countered by another particle's direction of motion. |
Revision as of 20:15, 1 June 2017
Limits based on Mandelstam Variables
In the center of mass frame, the momentum of the particles interacting are equal and opposite, i.e. . However, the 4-momentum still retains an energy component, which as a scalar quantity, can not be countered by another particle's direction of motion.