A convergence study of Dyson's boson expansion for weak coupling situations in 209Bi

doi:10.1016/0375-9474(80)90021-4

Nuclear Physics A

Volume 339, Issue 3, 5 May 1980, Pages 365-376

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Abstract

In this paper we study within the Dyson boson expansion (DBE) the particle-vibration coupling in ²⁰⁹Bi as a function of the number of configurations one is taking into account (vertical convergence). We find that the energies converge quite rapidly but that it is somewhat more difficult to achieve convergence also for the transition probabilities. We essentially investigate the well-known septuplet and decuplet in ²⁰⁹Bi and find reasonable agreement with experiment.

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Cited by (4)

Magnetic hyperfine structure in muonic <sup>209</sup>Bi
1984, Nuclear Physics, Section A
We have determined the magnetic hyperfine structure (HFS) in four nuclear transitions of muonic ²⁰⁹Bi. The results yielded an improved value of the magnetic HFS constant of the ground state. $A_{1} (92^{−}) = 2.00 (7) keV$ . New experimental values were established for three excited states, namely $A_{1} (132^{+}) = 2.9 (2) keV, A_{1} (92^{+}) = 2.1 (2) keV and A_{1} (152^{+}) = 2.4 (2) keV$ . In addition, the isomer shifts (IS) of the above-mentioned transitions were determined making use of the HFS constants. We find the following IS's of excited states: $132^{+}, 3.77 (28) keV; 92^{+}, 6.56 (32) keV; 152^{+}, 6.29 (18) keV$ .
On the microscopic theory of interacting bosons
1983, Progress in Particle and Nuclear Physics
General Theories are discussed, which allow the description of collective excitations in a fermion system in terms of bosonic degrees of freedom. Applications of the Dyson-method in the vicinity of double magic nuclei are presented and the convergence in the number of different bosons is investigated. Using the approximation of one or several broken pairs which is based on a generalized seniority scheme, a method is presented to give a microscopic interpretation of the phenomenological IBA-model. Starting from a microscopic fermion interaction we derive IBA-interaction parameters for spherical nuclei far from closed shells.
Blocking of octupole correlations deduced from the decay of a multiparticle isomer in <sup>212</sup> At
1998, Physical Review Letters
Structure of Bi209 deduced from the Pb208(t,2n) reaction
1983, Physical Review C

^∗: Supported by the BMFT (Bundesministerium für Forschung und Technologie).

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Nuclear Physics A

A convergence study of Dyson's boson expansion for weak coupling situations in 209Bi

Abstract

Nucl. Phys.

Nucl. Phys.

Z. Phys.

Phys. Reports

Phys. Rev.

Nucl. Phys.

NRL Memorandum Report

Phys. Rev.

Magnetic hyperfine structure in muonic <sup>209</sup>Bi

On the microscopic theory of interacting bosons

Blocking of octupole correlations deduced from the decay of a multiparticle isomer in <sup>212</sup> At

Structure of Bi209 deduced from the Pb208(t,2n) reaction

A convergence study of Dyson's boson expansion for weak coupling situations in ²⁰⁹Bi