Abstract
The coupled-channel approach to the problem of scattering of a particle on a two-body target with discrete and continuum spectra of excitations is proposed. The generalized set of equations is obtained which contains the interaction potentials determined by quadratures from the effective potential of the transition into the continuum. An auxiliary equation for the effective potential of the transition into the continuum is reduced to the Faddeev-type equations. The convergence of the Watson-type and Born series for the effective potential of the transition into the continuum is demonstrated. A new representation of the break-up amplitude is given in terms of amplitude of the transition into the continuum. The properties of the total wave function, effective interaction potential in the initial channel and transition 2 {yields} 2 or 3 amplitudes are discussed. (author). 22 refs.
Citation Formats
Kuzmichev, V E.
Coupled-channel approach to the problem of scattering on a target with continuum spectrum of excitations..
Ukraine: N. p.,
1993.
Web.
Kuzmichev, V E.
Coupled-channel approach to the problem of scattering on a target with continuum spectrum of excitations..
Ukraine.
Kuzmichev, V E.
1993.
"Coupled-channel approach to the problem of scattering on a target with continuum spectrum of excitations."
Ukraine.
@misc{etde_10144967,
title = {Coupled-channel approach to the problem of scattering on a target with continuum spectrum of excitations.}
author = {Kuzmichev, V E}
abstractNote = {The coupled-channel approach to the problem of scattering of a particle on a two-body target with discrete and continuum spectra of excitations is proposed. The generalized set of equations is obtained which contains the interaction potentials determined by quadratures from the effective potential of the transition into the continuum. An auxiliary equation for the effective potential of the transition into the continuum is reduced to the Faddeev-type equations. The convergence of the Watson-type and Born series for the effective potential of the transition into the continuum is demonstrated. A new representation of the break-up amplitude is given in terms of amplitude of the transition into the continuum. The properties of the total wave function, effective interaction potential in the initial channel and transition 2 {yields} 2 or 3 amplitudes are discussed. (author). 22 refs.}
place = {Ukraine}
year = {1993}
month = {Dec}
}
title = {Coupled-channel approach to the problem of scattering on a target with continuum spectrum of excitations.}
author = {Kuzmichev, V E}
abstractNote = {The coupled-channel approach to the problem of scattering of a particle on a two-body target with discrete and continuum spectra of excitations is proposed. The generalized set of equations is obtained which contains the interaction potentials determined by quadratures from the effective potential of the transition into the continuum. An auxiliary equation for the effective potential of the transition into the continuum is reduced to the Faddeev-type equations. The convergence of the Watson-type and Born series for the effective potential of the transition into the continuum is demonstrated. A new representation of the break-up amplitude is given in terms of amplitude of the transition into the continuum. The properties of the total wave function, effective interaction potential in the initial channel and transition 2 {yields} 2 or 3 amplitudes are discussed. (author). 22 refs.}
place = {Ukraine}
year = {1993}
month = {Dec}
}