R. Gatto
Abstract
A new sum rule for the pion-scattering amplitude ${B}^{+}(\ensuremath{\nu}, t)$ is derived from a superconvergence assumption and its saturation is discussed. A similar sum rule for the amplitude ${F}^{\ensuremath{-}}(\ensuremath{\nu}, t)$ is also obtained and its consequences are examined.
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A new sum rule for the pion-scattering amplitude ${B}^{+}(\ensuremath{\nu}, t)$ is derived from a superconvergence assumption and its saturation is discussed. A similar sum rule for the amplitude ${F}^{\ensuremath{-}}(\ensuremath{\nu}, t)$ is also obtained and its consequences are examined.
Key concepts: Superconvergence, Sum rule in quantum mechanics, Pion, Amplitude, Scattering amplitude, Physics, Saturation (graph theory), Scattering