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Two pions (mass of 139.6 MeV/c2) traveling at the same speed collide and annihilate, making two...

Two pions (mass of 139.6 MeV/c2) traveling at the same speed collide and annihilate, making two gamma rays with wavelength of 7.8x10-15 m. What was the momentum of each pion?

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Answer #1

For the reaction

each pion with mass and momentum has energy . The energy conservation leads to

.

Given , therefore

.

Therefore, using , we have

.

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