Particles and Radiation
Anti-matter
  • Positron
  • Annihilation
  • Pair production
  • fundamental particles
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Positron

The positron was discovered by Carl Anderson in 1932. The particle track is exactly like an electron but curving in the opposite direction meaning it is positive.

Anti-matter is often called the charge mirror of matter.

In fact, the mirror works for all quantum numbers, baryon number, lepton number and strangeness.

The positron has the same mass but opposite charge of the electron, \( e^+\).

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Annihilation

When particle and anti-particle meet they annihilate converting all their mass into energy.

This is a direct application of Einstein's famous equation

$$ E = mc^2 $$

So if an electron annihilates with a positron the energy released is

$$ E = 2m_ec^2 $$

$$ E = 1.63 \times 10^-23 \text{ J} $$

or

$$ E = 1.02 MeV $$

but the energy creates two photons of equal energy but opposite momentum

so each photon has energy

$$ hf = 0.511 MeV $$

NOTE: this assumes the electron and positron were at rest when they annihilated. If not KE must be added to rest mass energy.

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Pair production

It is possible for the process to run in reverse creating a particle anti-particle pair.

A simple version of this is a gamma photon of energy greater than 2 x 0.511 Mev interacts with matter and an electron positron pair are produced as energy is converted into mass.

Any excess energy would the kinetic energy of the particles.

NOTE: There is no limit on what could be created as long as the photon has sufficient energy.

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Anti-particles

Every matter particle has an anti-particle mirror even if it turns out to be the same particle.

The fundamental particles of the standard model are shown above. Each one has its anti-particle.

One of the great mysteries of physics is where has all the anit-matter gone in the universe.

Consider every particle being created with its anti-particle as in pair production. Where are the anti-particles?

On Earth, we can create anti-matter in very small quantities in particle accelerators.

If you are thinking about the possibility of creating an anti-matter bomb (way more powerful than a fusion bomb), at the moment we just can't make enough anti-matter to do it.