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TMF, 1989, Volume 81, Number 3, Pages 405–419 (Mi tmf5381)  

Small clusters: Dynamical symmetry and $1/d$ expansion

A. A. Belov, Yu. E. Lozovik


Abstract: 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.

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English version:
Theoretical and Mathematical Physics, 1989, 81:3, 1294–1304

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Received: 09.09.1988

Citation: A. A. Belov, Yu. E. Lozovik, “Small clusters: Dynamical symmetry and $1/d$ expansion”, TMF, 81:3 (1989), 405–419; Theoret. and Math. Phys., 81:3 (1989), 1294–1304

Citation in format AMSBIB
\Bibitem{BelLoz89}
\by A.~A.~Belov, Yu.~E.~Lozovik
\paper Small clusters: Dynamical symmetry and $1/d$ expansion
\jour TMF
\yr 1989
\vol 81
\issue 3
\pages 405--419
\mathnet{http://mi.mathnet.ru/tmf5381}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 81
\issue 3
\pages 1294--1304
\crossref{https://doi.org/10.1007/BF01018958}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1989DP21300006}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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