Difference between revisions of "Mandelstam Representation"

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<center><math>\Longrightarrow \left({\mathbf P_1^*}- {\mathbf P_2^{'*}}\right)^2=\left({\mathbf P_2^*}- {\mathbf P_1^{'*}}\right)^2\equiv s</math></center>
 
<center><math>\Longrightarrow \left({\mathbf P_1^*}- {\mathbf P_2^{'*}}\right)^2=\left({\mathbf P_2^*}- {\mathbf P_1^{'*}}\right)^2\equiv s</math></center>
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The s quantity is known as the square of the center of mass energy (invariant mass)
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The t quantity is known as the square of the 4-momentum transfer

Revision as of 19:28, 1 June 2017

Mandelstam Representation

Mandelstam.png


[math]\Longrightarrow \left({\mathbf P_1^*}+ {\mathbf P_2^{*}}\right)^2=\left({\mathbf P_1^{'*}}+ {\mathbf P_2^{'*}}\right)^2\equiv s[/math]


[math]\Longrightarrow \left({\mathbf P_1^*}- {\mathbf P_1^{'*}}\right)^2=\left({\mathbf P_2^*}- {\mathbf P_2^{'*}}\right)^2\equiv t[/math]


[math]\Longrightarrow \left({\mathbf P_1^*}- {\mathbf P_2^{'*}}\right)^2=\left({\mathbf P_2^*}- {\mathbf P_1^{'*}}\right)^2\equiv s[/math]


The s quantity is known as the square of the center of mass energy (invariant mass)


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

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