• Pixel-art sticker of Pairla, personifying Pair Production, with the caption “Light In, Matter Out.”

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Pairla

Pair Production Physics

\[\gamma \rightarrow e^- + e^+\]
Regular price $4.99 USD
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Meet Pairla, a gamma-ray photon who turns light into matter: passing close to a nucleus, she can become an electron and a positron. She needs at least 1.022 MeV, the rest energy of the pair. It is the reverse of annihilation. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Meet Pairla, a gamma-ray photon who turns light into matter.

Einstein's E = mc² works in both directions. A photon with enough energy, passing close to an atomic nucleus, can vanish and leave behind an electron and its antiparticle, a positron. The nucleus is needed to take up a little momentum, because a lone photon cannot turn into a pair and conserve energy and momentum at the same time. Carl Anderson discovered the positron in cosmic rays in 1932 and shared the 1936 Nobel Prize in Physics for it.

The photon must supply at least the rest energy of both particles. The electron's rest energy is 0.511 MeV, so the threshold is 2 × 0.511 = 1.022 MeV. Any energy above that becomes kinetic energy of the pair.

Pair production is one of the main ways high-energy gamma rays lose energy in matter, so it matters for radiation shielding and for the detectors used in particle physics and gamma-ray astronomy.

It is the reverse of annihilation, where an electron and positron meet and become gamma rays. Below 1.022 MeV it cannot happen at all, however intense the light.

Equations

\[\gamma \rightarrow e^- + e^+\]
Symbols
SymbolMeaningUnit
\(\gamma\) gamma-ray photon —
\(e^-\) electron —
\(e^+\) positron —