quantity

scattering cross section

A measure of the probability that a scattering event occurs between particles, often expressed in area units.
11 related articles

Description

The scattering cross section is a physical quantity that quantifies the probability of a scattering event between particles, such as two protons colliding or a neutrino interacting with a nucleus. It is expressed in units of area, typically barns (1 barn = 10^-28 square meters), and represents the effective area that a target particle presents to an incoming projectile. A larger cross section means a higher probability of interaction. This concept is fundamental to particle physics, nuclear physics, and astrophysics, as it governs the rates of reactions in accelerators, stars, and detectors.

History

The concept of cross section was introduced in the early 20th century, with significant contributions from Ernest Rutherford's analysis of alpha particle scattering, which led to the nuclear model of the atom. The term 'barn' was coined during the Manhattan Project as a humorous reference to the size of the cross section for nuclear reactions, which was 'as big as a barn' compared to other processes.

How it works

The cross section is defined by considering a beam of particles incident on a target. The number of scattering events per unit time is proportional to the product of the beam intensity, the number of target particles, and the cross section. In practice, cross sections are measured by counting the number of scattered particles in a detector and relating that to the known beam and target properties. Theoretically, cross sections are calculated using quantum mechanics, often involving the square of the scattering amplitude, which depends on the forces between the particles.

In practice

Scattering cross sections are essential for designing particle accelerators and detectors, predicting radiation doses in medical treatments, understanding nuclear reactor behavior, and modeling astrophysical processes such as stellar nucleosynthesis and neutrino interactions in supernovae.

Fun fact

The cross section for neutrino interactions is so tiny that a neutrino could pass through a light-year of lead with only a 50% chance of interacting.

Concept graph →

Related articles · 11

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Nuclear Experiment2026-08-061 minarXiv:2608.05708express
Three Protons Detected Together for the First Time
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q-bio.PE2026-07-261 minarXiv:2607.23728express
When a Disease Wave Decides Its Own Speed
A disease outbreak is like a wildfire: the fire runs through dry grass, and its speed depends on wind and humidity. But an infection has its own 'wind'—how often people infect each other. When this rate changes along with the fraction of already infected, the epidemic wave can behave differently.
HEP Theory2026-07-242 minarXiv:2607.22938express
How Mass and Charge Swap Roles in a Multidimensional World
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HEP Experiment2026-04-181 minarXiv:2604.17138express
Top Quarks Stick Together Like Oil Droplets in Soup
Oil droplets in boiling broth usually scatter apart, but if you bump them together very slowly, they may stick for a moment. Something similar happens with top quarks — the heaviest known building blocks of matter.
HEP Experiment2026-04-072 minarXiv:2604.05512express
Cosmic Showers: How Protons Paint a Portrait of the Atmosphere
Cosmic rays are particles that arrive from deep space. When such a particle hits the atmosphere, it triggers a whole shower of new particles, like a billiard ball breaking a rack, sending balls scattering in all directions. To predict what such a shower will look like, we need to know how the primary particle interacts with the nuclei of air atoms.
HEP Experiment2026-03-181 minarXiv:2603.17951express
The Invisible Nudge: How Neutrinos Strike the Nucleus
A tiny ghostly particle zips through a piece of germanium. Usually it leaves no trace, but sometimes, like a billiard ball, it smacks into an atom's nucleus. The nucleus recoils, and that jolt can be detected. At Oak Ridge National Laboratory, the Ge-Mini detector caught such recoils for two years. Neutrinos are the most elusive of known particles.
HEP Experiment2026-03-132 minarXiv:2603.13592express
Top Quark Caught in a Rare Solo Dance
In 2017, protons at the Large Hadron Collider collided with an energy of 5.02 TeV. The CMS detector recorded these collisions, and among billions of events, physicists hunted for a rare occurrence: the production of a single top quark without its antiparticle.
High Energy2026-02-252 minarXiv:2602.22105express
Cosmic Billiards: How Particle Showers Are Born
Somewhere above our heads, every second, a proton accelerated to energies millions of times greater than those at the Large Hadron Collider slams into the atmosphere. It strikes an air molecule, and a cascade is born — a wide atmospheric shower of thousands of particles.
HEP Experiment2026-02-062 minarXiv:2602.06664express
Top Quark Weighed at the Large Hadron Collider
Inside the Large Hadron Collider, protons are accelerated to nearly the speed of light and smashed head-on. At the collision point, a burst of energy is born for an instant, from which new particles can emerge. One of the heaviest is the top quark.
Quantum Gases2026-01-081 minarXiv:2601.04662express
How a Pair of Particles Bounces Off a Wall
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