ANALYTICAL APPROACH TO CONSTRUCTION OF EFFECTIVE POTENTIALS BETWEEN AGGREGATES OF STRONGLY INTERACTING PARTICLES TAKING INTO ACCOUNT COULOMB EFFECTS AND ITS APPLICATION TO pd SCATTERING

摘要

An approach to the construction of effective operators for interaction between compound systems was developed on the basis of the principle of maximum analyticity and the condition of adhering to the required analytical structure of partial-wave scattering amplitudes on the physical sheet. Methods for solution of the Gelfand-Levitan- Marchenko-Martin inverse-scattering quantum problem were used to construct effective potentials on the basis of data on dynamic singularities of scattering amplitudes. The method was generalized to the case where Coulomb interaction occurred between the particles. The approach was used to calculate the S-wave quartet amplitude of pd scattering. Setting the nuclear vertex constant of deuteron dissociation (fusion) to the value G_d~2 = 0.43 fm was shown to allow a good description of the energy dependence of the quartet phase in the incident proton lab energy range JSL = 0-46MeV.