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- W40971560 abstract "A study is made of a system of four nonrelativistic spinless particles with two-particle interaction potentials that are analytic with respect to complex scale transformations. Systems of integral equations are constructed for finding the scattering operator T(z) of the system and the operator T /sup theta/(z), where theta is the complex parameter of a scale transformation that realizes analytic continuation of T(z) to part of the unphysical sheet. The properties of the kernels of these equations are studied. Conditions on the interaction potentials under which the integral equations have a unique solution are obtained. The asymptotic behavior of the wave function of the system is studied by the method of stationary phase. A connection is established between the solutions of the corresponding homogeneous equations and the spectra of the Hamiltonians H and H(theta), i.e., with the energies of the bound states and resonances in a system of a few nonrelativistic particles. The use of the method of complex scale transformations is illustrated by the construction of the envelopes of the regions in which resonances are situated in systems with various potentials of analytic form: Coulomb, Yukawa, Yamaguchi, and exponential. The changes in the parameters of the two-particle resonances in systemsmore » of several particles are interpreted theoretically.« less" @default.
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- W40971560 date "1985-03-01" @default.
- W40971560 modified "2023-09-23" @default.
- W40971560 title "Scattering and resonances in a system of four quantum-mechanical particles" @default.
- W40971560 hasPublicationYear "1985" @default.
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