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Physics / Classical Mechanics 0 / Chapter 15 / Problem 15.86

Classical Mechanics | 0th Edition | ISBN: 9781891389221 | Authors: John R Taylor

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The neutral pion rt-0 is an unstable particle (mass m =

Chapter 15, Problem 15.86

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QUESTION:

The neutral pion rt-0 is an unstable particle (mass m = 135 MeV/c2) that can decay into two photons, 7r y + y. (a) If the pion is at rest, what is the energy of each photon? (b) Suppose instead that the pion is traveling along the x axis and that the photons are observed also traveling along the x axis, one forward and one backward. If the first photon has three times the energy of the second, what was the pion's original speed v?

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QUESTION:

The neutral pion rt-0 is an unstable particle (mass m = 135 MeV/c2) that can decay into two photons, 7r y + y. (a) If the pion is at rest, what is the energy of each photon? (b) Suppose instead that the pion is traveling along the x axis and that the photons are observed also traveling along the x axis, one forward and one backward. If the first photon has three times the energy of the second, what was the pion's original speed v?

ANSWER:

Step 1 of 3

a) So, we are looking at the case of a pion that decays into two photons. If the pion is at rest before the decay then the conservation of energy is simply

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