Abstract:
It is shown that the Hamiltonian of the quasiparticle-phonon model has an SU(6) limit, i.e., under certain restrictions it can be represented as a rotational invariant constructed from the generators of the SU(6) algebra closed by the collective phonon operators of the random phase approximation and their commutators. This makes it possible to obtain microscopic
expressions for the parameters of the quadrupole phonon model. For a number of zinc isotopes the maximal number of bosons is calculated microscopically and the fulfillment of the restrictions that lead to the SU(6) limit is verified.
Citation:
V. V. Voronov, G. Kyrchev, “SU(6) limit of the quasiparticle-phonon nuclear model”, TMF, 69:2 (1986), 236–244; Theoret. and Math. Phys., 69:2 (1986), 1121–1126
\Bibitem{VorKyr86}
\by V.~V.~Voronov, G.~Kyrchev
\paper $SU(6)$~limit of the quasiparticle-phonon nuclear model
\jour TMF
\yr 1986
\vol 69
\issue 2
\pages 236--244
\mathnet{http://mi.mathnet.ru/tmf5222}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 69
\issue 2
\pages 1121--1126
\crossref{https://doi.org/10.1007/BF01037871}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986J382700008}
Linking options:
https://www.mathnet.ru/eng/tmf5222
https://www.mathnet.ru/eng/tmf/v69/i2/p236
This publication is cited in the following 2 articles:
Nguyen Din Dang, “Dynamical symplectic symmetry in the quasiparticle-phonon nuclear model”, Theoret. and Math. Phys., 80:3 (1989), 922–928
V.G. Soloviev, “Fragmentation of single-particle and collective motions in the quasiparticle-phonon nuclear model”, Progress in Particle and Nuclear Physics, 19 (1987), 107
Citation in format AMSBIB
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