https://doi.org/10.1140/epja/s10050-022-00694-x
Regular Article - Theoretical Physics
Multi-reference many-body perturbation theory for nuclei
III. Ab initio calculations at second order in PGCM-PT
1
IRFU, CEA, Université Paris-Saclay, 91191, Gif-sur-Yvette, France
2
KU Leuven, Department of Physics and Astronomy, Instituut voor Kern- en Stralingsfysica, 3001, Leuven, Belgium
3
CEA, DAM, DIF, 91297, Arpajon, France
4
Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680, Bruyères-le-Châtel, France
5
Departamento de Física Teórica, Universidad Autónoma de Madrid, 28049, Madrid, Spain
6
Facility for Rare Isotope Beams, Michigan State University, 48824-1321, East Lansing, MI, USA
7
Department of Physics and Astronomy, Michigan State University, 48824-1321, East Lansing, MI, USA
8
Centro de Investigación Avanzada en Física Fundamental-CIAFF-UAM, 28049, Madrid, Spain
9
Institut für Kernphysik, Technische Universität Darmstadt, 64289, Darmstadt, Germany
10
Helmholtz Forschungsakademie Hessen für FAIR, GSI Helmholtzzentrum, 64289, Darmstadt, Germany
11
School of Physics and Astronomy, Sun Yat-sen University, 519082, Zhuhai, People’s Republic of China
Received:
29
October
2021
Accepted:
18
February
2022
Published online:
11
April
2022
In spite of missing dynamical correlations, the projected generator coordinate method (PGCM) was recently shown to be a suitable method to tackle the low-lying spectroscopy of complex nuclei. Still, describing absolute binding energies and reaching high accuracy eventually requires the inclusion of dynamical correlations on top of the PGCM. In this context, the present work discusses the first realistic results of a novel multi-reference perturbation theory (PGCM-PT) that can do so within a symmetry-conserving scheme for both ground and low-lying excited states. First, proof-of-principle calculations in a small (
) model space demonstrate that exact binding energies of closed- (
) and open-shell (
, 
) nuclei are reproduced within 0.5–
at second order, i.e. through PGCM-PT(2). Moreover, profiting from the pre-processing of the Hamiltonian via multi-reference in-medium similarity renormalization group transformations, PGCM-PT(2) can reach converged values within smaller model spaces than with an unevolved Hamiltonian. Doing so, dynamical correlations captured by PGCM-PT(2) are shown to bring essential corrections to low-lying excitation energies that become too dilated at leading order, i.e., at the strict PGCM level. The present work is laying the foundations for a better understanding of the optimal way to grasp static and dynamical correlations in a consistent fashion, with the aim of accurately describing ground and excited states of complex nuclei via ab initio many-body methods.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
