Abstract:
It is shown that in the framework of the quasiparticle-phonon model of the nucleus the commutation relations between quasiparticles forming the phonons can be correctly taken into account. The case of even-even deformed nuclei is investigated. Exact and approximate secular equations are obtained. It is shown that the corrections associated with allowance for the Pauli principle are large for the two-phonon components of the wave functions formed from identical phonons.
Citation:
R. V. Jolos, Kh. L. Molina, V. G. Solov'ev, “Influence of the Pauli principle on the properties of two-phonon states”, TMF, 40:2 (1979), 245–250; Theoret. and Math. Phys., 40:2 (1979), 722–726
\Bibitem{JolMolSol79}
\by R.~V.~Jolos, Kh.~L.~Molina, V.~G.~Solov'ev
\paper Influence of the Pauli principle on the properties of two-phonon states
\jour TMF
\yr 1979
\vol 40
\issue 2
\pages 245--250
\mathnet{http://mi.mathnet.ru/tmf2892}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=549618}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 40
\issue 2
\pages 722--726
\crossref{https://doi.org/10.1007/BF01018721}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JG19600006}
Linking options:
https://www.mathnet.ru/eng/tmf2892
https://www.mathnet.ru/eng/tmf/v40/i2/p245
This publication is cited in the following 6 articles:
R. V. Jolos, S. P. Ivanova, R. Pedrossa, V. G. Solov'ev, “Study of the shift of two-phonon poles in deformed nuclei by the method of boson expansions”, Theoret. and Math. Phys., 70:1 (1987), 108–112
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
L. A. Malov, F. M. Meliev, V. G. Soloviev, “Description of radiative strength functions in deformed nuclei”, Z Physik A, 320:3 (1985), 521
V. G. Soloviev, V. O. Nesterenko, S. I. Bastrukov, “On vibrational states in deformed odd-A nuclei”, Z Physik A, 309:4 (1983), 353
V. G. Solov'ev, “Phonon operators in deformed nuclei”, Theoret. and Math. Phys., 53:3 (1982), 1203–1207
V. G. Soloviev, N. Yu. Shirikova, “On collective two-phonon states in deformed nuclei”, Z Physik A, 301:3 (1981), 263