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Construction of the Invariant Amplitude
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24O Photon laboratory amplitudes angular momentum antinucle antinucleon barycentric system branch cut calculated CGLN coefficient crossing condition crossing symmetry D. Y. Wong define differential cross section dispersion relations ds dt eigenamplitudes Electric transitions Eq.s experimental data express factors final nucleon four-vectors Frazer and Fulco G. F. Chew gauge invariance given by Eq helicity integrals in Eqs intermediate intern ediate invariant annplitudes isotopic isotopic spin isotopic-spin kinematical singularities kinetic energy Mev laboratory kinetic energy Lawrence Radiation Laboratory Mandelstam representation matrix elements meson nucle obtain odd functions one-dimensional spectral function otopic p-wave Photon laboratory kinetic photoproduction channel Phys physical region pion pion-nucleon scattering plane plitudes pole terms polynomial expansion prediction produce projection operators represented require a subtraction resonance ſ ſ scalar scattering annplitude spectrum spin spinor three-pion threshold region two-pion unitarity condition values variables vector