Geodesic
On the four-body problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 223-236

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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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     author = {R. I. Jibuti and N. B. Krupennikova and N. I. Shubitidze},
     title = {On the four-body problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {32},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a5/}
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R. I. Jibuti; N. B. Krupennikova; N. I. Shubitidze. On the four-body problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 223-236. http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a5/