Application of extension theory to antiproton-nucleon systems with continuous set of resonances in annihilation channel

AbstractThe exact expressions for scattering length and partial total cross-section for p̄n and p̄p systems are obtained in the frame of the extended Hilbert space model with continuous spectrum of resonances treated as an annihilation channel. The numerical algorithm for scattering data calculation is suggested. The numerical calculations for p̄n and p̄p scattering data at angular momentum L = 0, 1, 2, 3 are performed on this base. The interaction parameters are fitted via two-body scattering data. A satisfactory agreement between experimental and theoretical data is obtained