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University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
BuyFindarrow_forward

University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

Electrons and positions are collided in a circular accelerator. Derive the expression for the center-of-mass energy of the particle.

To determine

The expression for the center-of-mass energy of the electron and positron.

Explanation

Introduction:

During the reaction process when a particle is collide with respective anti particle and produce another particle then this type of reactions called Annihilation reaction. Energies and momentums are conserved in these types of reactions.

Electron e and positron β+ are anti-particles and when both particles are collide in a circular accelerator then they annihilate each other and produce high-energy radiation. This type of reaction called Annihilation reaction.

The expression for the center-of-mass energy:

  e++eγ+γ

Where,

  e+= Energy of positron

  e= Energy of electron

  γ= Photon energy

The energy of electron is equal to the energy of photon and similarly with positron

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