Abstract:
A study is made of the possibility of using in the three-dimensional relativistic equations
for a three-body system a quasipotential that in the approximation of a binary interaction
contains “local” two-particle quasipotentials. It is shown that the part of such a quasipotential
that corresponds to binary interactions can be expressed in a definite manner in
terms of the physical two-particle scattering amplitudes irrespective of an expansio of
these amplitudes in a small coupling constant. It is shown that all 16 scattering amplitudes,
obtained as solutions of these three-particle equations, are equal to the physical
amplitudes on the mass shell.
Citation:
A. N. Kvinikhidze, D. Ts. Stoyanov, “Local two-particle quasipotential in the relativistic three-body problem”, TMF, 16:1 (1973), 42–51; Theoret. and Math. Phys., 16:1 (1973), 658–664
\Bibitem{KviSto73}
\by A.~N.~Kvinikhidze, D.~Ts.~Stoyanov
\paper Local two-particle quasipotential in the relativistic three-body problem
\jour TMF
\yr 1973
\vol 16
\issue 1
\pages 42--51
\mathnet{http://mi.mathnet.ru/tmf3732}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 16
\issue 1
\pages 658--664
\crossref{https://doi.org/10.1007/BF01035616}
Linking options:
https://www.mathnet.ru/eng/tmf3732
https://www.mathnet.ru/eng/tmf/v16/i1/p42
This publication is cited in the following 3 articles:
A. N. Safronov, “Three-dimensional manifestly Poincaré-invariant approach to relativistic three-body problem”, Theoret. and Math. Phys., 103:2 (1995), 502–524
T. I. Kopaleishvili, A. I. Machavariani, “$\pi d$ scattering in the framework of three-particle relativistic equations”, Theoret. and Math. Phys., 30:2 (1977), 130–138
A. N. Kvinikhidze, “Relativistic scattering amplitude of three particles in the eikonal approximation”, Theoret. and Math. Phys., 25:3 (1975), 1228–1231