Abstract
Low-lying states in the isotope Xe130 were populated in a Coulomb-excitation experiment performed at CERN's HIE-ISOLDE facility. The magnitudes and relative signs of seven E2 matrix elements and one M1 matrix element coupling five low-lying states in Xe130 were determined using the semiclassical coupled-channel Coulomb-excitation least-squares search code gosia. The diagonal E2 matrix elements of both the 21+ and 41+ states were extracted for the first time. The reduced transition strengths are in line with those obtained from previous measurements. Experimental results were compared with the general Bohr Hamiltonian with the microscopic input from mean-field theory utilizing universal nuclear energy density functional (UNEDF0), shell-model calculations using the GCN50:82 and SN100PN interactions, and simple phenomenological models (Davydov-Filippov and γ-soft). The extracted shape parameters indicate triaxial-prolate deformation in the ground-state band. In general, good agreement between theoretical predictions and experimental values was found, while neither phenomenological model was found to provide an adequate description of Xe130. (Less)
Highlights
In order to aid the interpretation of the experimental results, theoretical calculations were performed with a meanfield formalism, which is well suited to describing nuclear collectivity, a large-scale shell-model approach, with two different interactions, as well as a simple Davydov Filippov model [37], and a γ -soft model based on a Hamiltonian with γ -independent potential energy and a constant mass parameter [2,38]
The shell-model results were obtained by applying the quadrupole sum rules to the theoretical matrix elements, while the general Bohr Hamiltonian (GBH)-UNEDF0 results are obtained directly from the calculations
The nucleus 130Xe was studied in a Coulomb-excitation experiment performed at conseil européen pour la Recherche Nucléaire (CERN)’s HIE-ISOLDE facility
Summary
The even-even Xe nuclei are the only stable A ≈ 130 isotopes where experimental spectroscopic quadrupole moments and the relative signs of electromagnetic matrix elements between low-lying states are unknown [3]. Safe-energy Coulomb excitation is an experimental method which is able to provide information on the electromagnetic structure of the investigated nucleus by extracting both transitional and diagonal matrix elements, together with their relative signs. Those can be used to determine the shape of individual states using the quadrupole sum rules method and give unique insight into the properties of a given nucleus.
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