Limit of Energy in Lab Frame

The t quantity is known as the square of the 4-momentum transfer

$t \equiv \left({\mathbf P_1^*}- {\mathbf P_1^{'*}}\right)^2=\left({\mathbf P_2^{*}}- {\mathbf P_2^{'*}}\right)^2$

temp

${\mathbf P_1^{2}}+ {\mathbf P_1^{'2}}-2 {\mathbf P_1} {\mathbf P_1^{'}}$

$2m^2-2E_1E_1^'+2 {\vec p_1} {\vec p_1^'}$

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