1983
DOI: 10.1007/bf01879882
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Microscopic calculation of the collective motion in76Kr

Abstract: A microscopic calculation of Bohr's collective Hamiltonian is used to describe the collective motion in the 76Kr isotope. A single-particle basis calculated in a deformed Woods-Saxon potential leads to the potential energy surface obtained by the Strutinsky renormalization procedure, and to the inertial functions determined in the cranking model approximation. The collective Schr6dinger equation is solved numerically. The low-energy, even parity states in 76Kr are analyzed in the frame of this model. The theor… Show more

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Cited by 23 publications
(5 citation statements)
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“…Together with experimental efforts, various theories have been applied to elucidate what kinds of shape are involved and how they evolve, including those employing Bohr's collective Hamiltonian [11,12], self-consistent triaxial mean-field models [13], shell-model-based approaches [14,15], beyond (relativistic) mean-field studies [12,16,17], constrained Hartree-Fock-Bogoliubov (plus local Random-Phase-Approximation) calculations [18,19], the Total Routhian Surface method [20], and self-consistent Nilsson-like calculation [21]. In general, many of the global features of these Kr isotopes, such as the coexistence of prolate and oblate shapes, their strong mixing at low angular momentum, the deformation of collective bands, the low-spin spectra and the systematics of excitation energies and transition strengths are reproduced.…”
Section: Introductionmentioning
confidence: 99%
“…Together with experimental efforts, various theories have been applied to elucidate what kinds of shape are involved and how they evolve, including those employing Bohr's collective Hamiltonian [11,12], self-consistent triaxial mean-field models [13], shell-model-based approaches [14,15], beyond (relativistic) mean-field studies [12,16,17], constrained Hartree-Fock-Bogoliubov (plus local Random-Phase-Approximation) calculations [18,19], the Total Routhian Surface method [20], and self-consistent Nilsson-like calculation [21]. In general, many of the global features of these Kr isotopes, such as the coexistence of prolate and oblate shapes, their strong mixing at low angular momentum, the deformation of collective bands, the low-spin spectra and the systematics of excitation energies and transition strengths are reproduced.…”
Section: Introductionmentioning
confidence: 99%
“…As for what kinds of shape are involved in neutron-deficient krypton isotopes and how they evolve from one to another, some experimental efforts have been enlightening [10], while others failed to determine unambiguously whether the nuclei in question are prolate or oblate, even though they are known to be highly deformed [11]. Additionally, various theories have been applied to elucidate the details, such as those employing Bohr's collective Hamiltonian [12], self-consistent triaxial mean-field models [13,14], shell-model-based approaches [15][16][17], beyond (relativistic) mean-field studies [18,19], and constrained Hartree-Fock-Bogoliubov (plus local Random-Phase-Approximation) calculations [20,21]. In these calculations, the picture of shape coexistence can generally be reproduced, but more studies are needed to pin down the specifics, such as in which nuclei the transition of the ground-state shape occurs, how large the deformations are, whether triaxiality plays a role, etc.…”
Section: Introductionmentioning
confidence: 99%
“…One can expect that the physical states result in fact from a mixing of states with spherical, prolate and oblate deformations. Such mixings were obtained from models with parameters specifically adjusted to the data: the proton-neutron Interacting Boson Model (IBA-2) [8], and a Bohr-Hamiltonian calculation built on a microscopic-macroscopic model [9].…”
Section: Introductionmentioning
confidence: 99%