Abstract
The existing methods of constructing an explicitly resonance, unitary S matrix are reviewed. These methods can be used for describing groups of resonances r i with identical quantum numbers in the case where they overlap, when |E r i −E r j |∼Γ r i +Γ r j . The relation between these methods is studied in detail. The description of excited states by means of the Breit–Wigner formulas is used most often in many problems of resonance physics and nuclear physics, and in this review we focus on the construction of a unitary, T -invariant, multichannel, multiresonance S matrix of the Breit–Wigner type. As a real application of these methods we study the excitation spectrum of vector ρ and ω mesons. The possibility of interpreting these as quark–antiquark excited states is discussed.
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