An effective area describing the strength of a specified interaction. With an incident particle flux and independent target particles, the ideal event rate for that channel is .
For uncorrelated incoming beams with equally populated spin states, the measured cross section averages over initial polarizations and sums over unobserved final polarizations. The displayed average applies to two massive incoming particles with spins . It is distinct from a prepared-polarization channel and from the final-state identical-particle factor in a final-state phase-space integral. A polarization channel with an amplitude that grows faster than the others can reach a perturbative bound before the averaged quantity does.
For distinguishable final particles, the centre-of-momentum frame cross section is the displayed product of the invariant amplitude, incoming flux and relativistic two-body phase space. Initial unpolarized states are averaged; unobserved final polarizations are summed. An isotropic amplitude integrates to . A full-solid-angle integral for identical final particles additionally needs its symmetry factor.

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In physics, the term "cross section" refers to a measure of the probability of an interaction between particles, typically in the context of scattering experiments or nuclear reactions. It is a crucial concept in fields such as high-energy particle physics, nuclear physics, and astrophysics. The concept of cross section can be understood as follows: 1. **Geometric Analogy**: Imagine a beam of particles (like protons or neutrons) being directed at a target (another particle or a nucleus).
The neutron temperature example is crucial: you just can't give the cross section of a target alone, the energy of the incoming beam also matters.