Valeriy Pavlovich Khen

Heron’s Triangles and Resonance Decays in Lobachevsky Velocity Space

Valeriy Pavlovich Khen

The decay of resonance in the Lobachevsky velocity space is represented by an isosceles triangle inscribed in a horocycle. Near the decay triangles of scalar, strange mesons and Δ, N baryons, there are Heron’s triangles, for which are equal to integers: a) the length of the arc of the oricycle subtending the base, by the cotangent of half the angle at the vertex opposite the base; b) the hyperbolic cosines of the lengths of the lateral sides and the lengths of the bases.