TITLE:
Classification of Light Unflavored, Strange Mesons and Δ, N, Λ, Σ, Ξ Baryons Based on Heron’s Triangles of Their Decays in Hyperbolic Velocity Space, and the Proposal to Search for New Resonances
AUTHORS:
Valeriy Pavlovich Khеn, Aleksey Valerevich Khen
KEYWORDS:
Lobachevsky-Bolyai Velocity Space, Decay Triangles, Hyperbolic Sine of the Triangle, Base Heron Triangle
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.11,
November
12,
2026
ABSTRACT: Two-particle decays of light unflavored, strange mesons and Δ, N, Λ, Σ, Ξ baryons are mapped to isosceles triangles in hyperbolic velocity space. A Lorentz-invariant function is defined on the isosceles triangles—the hyperbolic sine of the triangle, equal to the product of the hyperbolic sine of the altitude dropped from any vertex and the hyperbolic sine of the side opposite that vertex. Integer values of the hyperbolic sine correspond to triangles named Heron’s base triangles. Based on Heron’s triangles, the decays of scalar, strange mesons and Δ, N, Λ, Σ, Ξ baryons, are classified. This classification provides suggestions to search for new resonances.