Abstract:
The nonrelativistic many-body problem with logarithmic two-body potentials is solved
in the hyperspherical formalism. In the diagonal approximation, an analytic expression
is obtained for the eigenvalues of the hyperradial equation, and a mass formula is
constructed. Meson-baryon mass relations are derived.
Citation:
A. A. Khelashvili, V. Yu. Khmaladze, N. D. Chachava, “Many-particle problem with logatithmic potentials and its application to quark bound states”, TMF, 62:1 (1985), 136–143; Theoret. and Math. Phys., 62:1 (1985), 90–95
\Bibitem{KheKhmCha85}
\by A.~A.~Khelashvili, V.~Yu.~Khmaladze, N.~D.~Chachava
\paper Many-particle problem with logatithmic potentials and its application to quark bound states
\jour TMF
\yr 1985
\vol 62
\issue 1
\pages 136--143
\mathnet{http://mi.mathnet.ru/tmf4537}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 62
\issue 1
\pages 90--95
\crossref{https://doi.org/10.1007/BF01034830}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985ANK4300011}
Linking options:
https://www.mathnet.ru/eng/tmf4537
https://www.mathnet.ru/eng/tmf/v62/i1/p136
This publication is cited in the following 2 articles:
Roman Ya. Kezerashvili, Shalva M. Tsiklauri, Andrew Dublin, “Trions in two-dimensional monolayers within the hyperspherical harmonics method: Application to transition metal dichalcogenides”, Phys. Rev. B, 109:8 (2024)
A. Khelashvili, T. Nadareishvili, “The Boundary Condition for Reduced Radial Wave Function in Multi-Dimensional Schrodinger Equation”, Phys. Part. Nuclei Lett., 21:4 (2024), 846
Citation in format AMSBIB
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