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 TMF, 1977, Volume 32, Number 2, Pages 223–236 (Mi tmf3151)

On the four-body problem

R. I. Jibuti, N. B. Krupennikova, N. I. Shubitidze

Abstract: The four-body problem is considered using the hyperspherical basis in the momentum representation. The calculation scheme is suggested for the discrete as well as for the continuous spectrum of the four-body system with two-body potentials of arbitrary form. Recurrence relations for hyperspherical functions in the nine-dimensional space and for the coefficients of the unitary transformation of hyperspherical functions from one set of the Jacobi coordinates to another one are obtained.

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English version:
Theoretical and Mathematical Physics, 1977, 32:2, 704–713

Citation: R. I. Jibuti, N. B. Krupennikova, N. I. Shubitidze, “On the four-body problem”, TMF, 32:2 (1977), 223–236; Theoret. and Math. Phys., 32:2 (1977), 704–713

Citation in format AMSBIB
\Bibitem{JibKruShu77} \by R.~I.~Jibuti, N.~B.~Krupennikova, N.~I.~Shubitidze \paper On the four-body problem \jour TMF \yr 1977 \vol 32 \issue 2 \pages 223--236 \mathnet{http://mi.mathnet.ru/tmf3151} \transl \jour Theoret. and Math. Phys. \yr 1977 \vol 32 \issue 2 \pages 704--713 \crossref{https://doi.org/10.1007/BF01036333}