Geodesic
Small clusters: Dynamical symmetry and $1/d$ expansion
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 3, pp. 405-419

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Asymptotic expansion on the parameter $1/d$, where $d$ is space dimension, is built for the spectrum of critical binding constants of three and four particle clusters. Trajectories of bound states in the “energy – binding constant” plane are investigated. Asymptotical dynamical symmetry of the problem is found and applied to the reduction of the problem to dynamics on (semi) simple Lie algebra. 
@article{TMF_1989_81_3_a5,
     author = {A. A. Belov and Yu. E. Lozovik},
     title = {Small clusters: {Dynamical} symmetry and $1/d$ expansion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {405--419},
     publisher = {mathdoc},
     volume = {81},
     number = {3},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_81_3_a5/}
}
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A. A. Belov; Yu. E. Lozovik. Small clusters: Dynamical symmetry and $1/d$ expansion. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 3, pp. 405-419. http://geodesic.mathdoc.fr/item/TMF_1989_81_3_a5/