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Influence of the Pauli principle on the properties of two-phonon states

Influence of the Pauli principle on the properties of two-phonon states INFLUENCE OF THE PAULI PRINCIPLE ON THE PROPERTIES OF TWO-PHONON STATES R.V. Jolos, Kh. L. Molina, and V.G. Solov'ev 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. 1. Introduction The generalization of the Hartree-Fock variational principle proposed by Bogolyubov [1], which has since become known as the Hartree-Fock-Bogolyubov variational principle [2-4], and the method developed by him of the time-dependent self-consistent field [5] provided the foundations for the modern microscopic theory of the nucleus [6-9]. These methods, implemented and developed in recent years by the quasiparticle-phonon model of the nucleus [10], have made it possible to describe correctly the properties of single-quasiparticle and single- phonon excited states of the nuclei, the distribution of single-quasiparticle [11] and single-phonon [12] com- ponents over states of more complicated nature at intermediate excitation energies, and to calculate the strength functions of http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Theoretical and Mathematical Physics Springer Journals

Influence of the Pauli principle on the properties of two-phonon states

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References (10)

Publisher
Springer Journals
Copyright
1980 Plenum Publishing Corporation
ISSN
0040-5779
eISSN
1573-9333
DOI
10.1007/BF01018721
Publisher site
See Article on Publisher Site

Abstract

INFLUENCE OF THE PAULI PRINCIPLE ON THE PROPERTIES OF TWO-PHONON STATES R.V. Jolos, Kh. L. Molina, and V.G. Solov'ev 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. 1. Introduction The generalization of the Hartree-Fock variational principle proposed by Bogolyubov [1], which has since become known as the Hartree-Fock-Bogolyubov variational principle [2-4], and the method developed by him of the time-dependent self-consistent field [5] provided the foundations for the modern microscopic theory of the nucleus [6-9]. These methods, implemented and developed in recent years by the quasiparticle-phonon model of the nucleus [10], have made it possible to describe correctly the properties of single-quasiparticle and single- phonon excited states of the nuclei, the distribution of single-quasiparticle [11] and single-phonon [12] com- ponents over states of more complicated nature at intermediate excitation energies, and to calculate the strength functions of

Journal

Theoretical and Mathematical Physics – Springer Journals

Published: Aug 1, 1979

Keywords: Theoretical, Mathematical and Computational Physics; Applications of Mathematics

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