Kinetic energy of two protons to create a meson?

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To create a π2 meson from two protons colliding, each proton must have sufficient kinetic energy to account for the mass-energy equivalence. The relevant equation is E=mc², where the mass of the π2 meson is approximately 135 MeV. The total energy required for the reaction p+p→p+p+π2 includes the rest mass energy of the meson. The calculated energy of 135 MeV translates to 2.16 x 10^-11 Joules, confirming that the kinetic energy of each proton must meet this threshold. Understanding the energy requirements is crucial for particle physics experiments involving meson production.
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Homework Statement


This one stumped me a little
Two protons are heading toward each other with equal speeds.
What minimum kinetic energy must each have if a ∏2 meson is to be created in the process?

Homework Equations


E=mc2
p+p→p+p+∏2
E=Ek-mc2 ? not sure if I got this right or even useful

The Attempt at a Solution



E=mc2
=135MeV
=135x106x1.6x10-19
=2.16x10-11
 
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actually I worked it out, it was correct, they just wanted it in MeV
 
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