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Theorem

Pomeranchuk's Theorem

Mathematical Physics

Pomeranchuk's theorem, named after the Soviet physicist Isaak Pomeranchuk, states that the difference between the cross sections for a particle scattering off another particle and off that particle's antiparticle vanishes as the center-of-mass energy of the collision goes to infinity. The theorem is a foundational result in the study of high-energy particle scattering and total cross sections.

Facts
Statement
Pomeranchuk's theorem states that the difference of cross sections of interactions of elementary particles kappa1 plus kappa2 and kappa1 plus the antiparticle of kappa2 approach 0 when s approaches infinity. 1
Classification
Statement Form
Identity or Equation 1
Connections

Has Statement Form

Equation, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Identity, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Sources
1. Pomeranchuk's theorem (Wikipedia)
Introduction
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