https://doi.org/10.1140/epja/s10050-023-00955-3
Regular Article - Theoretical Physics
The shape of gold
1
ESNT, IRFU, CEA, Université Paris-Saclay, 91191, Gif-sur-Yvette, France
2
Departamento de Física Teórica, Universidad Autónoma de Madrid, E-28049, Madrid, Spain
3
Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120, Heidelberg, Germany
4
IP2I Lyon, UMR 5822, 4 rue Enrico Fermi, Université de Lyon, Université Claude Bernard Lyon 1, CNRS/IN2P3, F-69622, Villeurbanne, France
Received:
6
January
2023
Accepted:
14
February
2023
Published online:
24
March
2023
Having a detailed theoretical knowledge of the low-energy structure of the heavy odd-mass nucleus 
is of prime interest as the structure of this isotope represents an important input to theoretical simulations of collider experiments involving gold ions performed at relativistic energies. In the present article, therefore, we report on new results on the structure of obtained from state-of-the-art multi-reference energy density functional (MR-EDF) calculations. Our MR-EDF calculations were realized using the Skyrme-type pseudo-potential SLyMR1, and include beyond mean-field correlations through the mixing, in the spirit of the Generator Coordinate Method (GCM), of particle-number and angular-momentum projected triaxially deformed Bogoliubov quasi-particle states. Comparison with experimental data shows that the model gives a reasonable description of with in particular a good agreement for most of the spectroscopic properties of the 
ground state. From the collective wave function of the correlated state, we compute an average deformation 
and 
for the ground state. We use this result to construct an intrinsic shape of representing a microscopically-motivated input for precision simulations of the associated collider processes. We discuss, in particular, how the triaxiality of this nucleus is expected to impact + collision experiments at ultrarelativistic energy.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
