Abstract
A new adiabatic representation of the three-body wave function obtained in terms of the local adiabatic expansions of the Faddeev components is investigated. As a result, we construct a unique adiabatic basis describing all possible channels of the three-body system with inclusion of break-up and rearrangement ones. Moreover, we give a complete classification of the basis states and the corresponding surface functions. The implementation of simple geometrical and spectral arguments allows us to work out a global adiabatic approach to the three-body scattering problem for the class of pair short-range potentials. Therein we formulate the three-body scattering problem by consistently reducing it to the multichannel radial and parametric quasiangular ones, including the correct boundary conditions with account of break-up and rearrangement processes. We also state the inverse three-body problem. 25 refs.
Citation Formats
Markovski, B L, Suz`ko, A A, and Vinitskij, S I.
New adiabatic representation for three-body scattering problem.
JINR: N. p.,
1991.
Web.
Markovski, B L, Suz`ko, A A, & Vinitskij, S I.
New adiabatic representation for three-body scattering problem.
JINR.
Markovski, B L, Suz`ko, A A, and Vinitskij, S I.
1991.
"New adiabatic representation for three-body scattering problem."
JINR.
@misc{etde_10119410,
title = {New adiabatic representation for three-body scattering problem}
author = {Markovski, B L, Suz`ko, A A, and Vinitskij, S I}
abstractNote = {A new adiabatic representation of the three-body wave function obtained in terms of the local adiabatic expansions of the Faddeev components is investigated. As a result, we construct a unique adiabatic basis describing all possible channels of the three-body system with inclusion of break-up and rearrangement ones. Moreover, we give a complete classification of the basis states and the corresponding surface functions. The implementation of simple geometrical and spectral arguments allows us to work out a global adiabatic approach to the three-body scattering problem for the class of pair short-range potentials. Therein we formulate the three-body scattering problem by consistently reducing it to the multichannel radial and parametric quasiangular ones, including the correct boundary conditions with account of break-up and rearrangement processes. We also state the inverse three-body problem. 25 refs.}
place = {JINR}
year = {1991}
month = {Dec}
}
title = {New adiabatic representation for three-body scattering problem}
author = {Markovski, B L, Suz`ko, A A, and Vinitskij, S I}
abstractNote = {A new adiabatic representation of the three-body wave function obtained in terms of the local adiabatic expansions of the Faddeev components is investigated. As a result, we construct a unique adiabatic basis describing all possible channels of the three-body system with inclusion of break-up and rearrangement ones. Moreover, we give a complete classification of the basis states and the corresponding surface functions. The implementation of simple geometrical and spectral arguments allows us to work out a global adiabatic approach to the three-body scattering problem for the class of pair short-range potentials. Therein we formulate the three-body scattering problem by consistently reducing it to the multichannel radial and parametric quasiangular ones, including the correct boundary conditions with account of break-up and rearrangement processes. We also state the inverse three-body problem. 25 refs.}
place = {JINR}
year = {1991}
month = {Dec}
}