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I want to do a scattering calculation with two particles scattering to two (other) particles relativistically.

Is it correct to use the following conservation laws?

[tex]

\vec{p}_1+\vec{p}_2=\vec{p}_3+\vec{p}_4

[/tex]

[tex]

\gamma_1 m_1c^2+\gamma_2 m_2c^2=\gamma_3 m_3c^2+\gamma_4 m_4c^2

[/tex]

where the masses m are rest masses and [itex]\gamma[/itex] are the corresponding Lorentz factors .

Someone on the forum argued that I need to use rest energy [itex]mc^2[/itex] for conservation law instead of [itex]\gamma mc^2[/itex].

Please clarify.

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# Relativistic particle scattering

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