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We present a mechanism to efficiently pre-select the number of intrinsic many-body states that are used to define the many-body wave functions within the discrete Generator Coordinate Method (GCM). This procedure, based on the proper…

Nuclear Theory · Physics 2022-11-23 Jaime Martínez-Larraz , Tomás R. Rodríguez

We present a method based on mean-field states generated by triaxial quadrupole constraints which are projected on particle number and angular momentum and mixed by the generator coordinate method on the quadrupole moment. This method is…

Nuclear Theory · Physics 2008-11-26 M. Bender , P. -H. Heenen

We present a new application of the Generator Coordinate Method (GCM) as an electronic structure method for strong electron correlation in molecular systems. We identify spin fluctuations as an important generator coordinate responsible for…

Chemical Physics · Physics 2025-03-18 Amir Ayati , Hugh G. A. Burton , Patrick Bultinck , Stijn De Baerdemacker

An approach to the Generator Coordinate Method (GCM) using Skyrme-type effective forces and Woods-Saxon construction potential is applied to calculate the single-particle proton and neutron overlap functions in $^{40}$Ca. The relationship…

Nuclear Theory · Physics 2009-11-06 M. V. Ivanov , M. K. Gaidarov , A. N. Antonov , C. Giusti

Collective quadrupole and octupole states are described in a series of Sm and Gd isotopes within the framework of the interacting boson model (IBM), whose Hamiltonian parameters are deduced from mean field calculations with the Gogny energy…

Nuclear Theory · Physics 2015-07-20 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

This paper discusses quantum algorithms for the generator coordinate method (GCM) that can be used to benchmark molecular systems. The GCM formalism defined by exponential operators with exponents defined through generators of the Fermionic…

Quantum Physics · Physics 2024-02-14 Muqing Zheng , Bo Peng , Nathan Wiebe , Ang Li , Xiu Yang , Karol Kowalski

Good many-body methods for medium and heavy nuclei are important. Here we combine ideas from standard generator-coordinate methods (GCM) and the so-called Monte Carlo shell model, and set forth a novel approach: starting from a mean-field…

Nuclear Theory · Physics 2019-10-02 Changfeng Jiao , Calvin W. Johnson

The generalized Bohr Hamiltonian is applied to a description of low-lying collective excitations in even-even isotopes of Te, Xe, Ba, Ce, Nd and Sm. The collective potential and inertial functions are determined by means of the Strutinsky…

Nuclear Theory · Physics 2009-11-05 L. Prochniak , K. Zajac , K. Pomorski , S. G. Rohozinski , J. Srebrny

We present a microscopic analysis of the collective behaviour of the lead isotopes in the vicinity of Pb208. In this study, we rely on a coherent approach based on the Generator Coordinate Method including exact projection on N and Z…

Nuclear Theory · Physics 2009-11-07 P. -H. Heenen , A. Valor , M. Bender , P. Bonche , H. Flocard

The generator coordinate (GC) method is a variational approach to the quantum many-body problem in which interacting many-body wave functions are constructed as superpositions of (generally nonorthogonal) eigenstates of auxiliary…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. Orestes , K. Capelle , A. B. F. da Silva , C. A. Ullrich

The main characteristics of the ground and, in particular, the first excited monopole state in the $^{4}$He, $^{16}$O and $^{40}$Ca nuclei are studied within the generator coordinate method using Skyrme-type effective forces and three…

Nuclear Theory · Physics 2009-11-06 M. V. Ivanov , A. N. Antonov , M. K. Gaidarov

Nuclear fission at barrier-top energies is conventionally modeled by a one-dimensional Schr\"odinger equation applied to internal fission channels, but that treatment is hard to justify in the configuration-interaction approach to nuclear…

Nuclear Theory · Physics 2024-11-11 K. Hagino , G. F. Bertsch

We propose an efficient method to numerically simulate the dissipative dynamics of large numbers of quantum emitters in ordered arrays in the presence of long-range dipole-dipole interactions mediated by the vacuum electromagnetic field.…

Quantum Physics · Physics 2025-09-03 Raphael Holzinger , Oriol Rubies-Bigorda , Susanne F. Yelin , Helmut Ritsch

Microscopic energy density functionals (EDF) have become a standard tool for nuclear structure calculations, providing an accurate global description of nuclear ground states and collective excitations. For spectroscopic applications this…

Nuclear Theory · Physics 2011-08-04 K. Nomura , T. Niksic , T. Otsuka , N. Shimizu , D. Vretenar

We study the interplay of quadrupole and octupole degrees of freedom in the structure of the isotope $^{144}$Ba. A symmetry conserving configuration mixing method (SCCM) based on a Gogny energy density functional (EDF) has been used. The…

Nuclear Theory · Physics 2016-04-25 Rémi N. Bernard , Luis M. Robledo , Tomás R. Rodríguez

The behavior of collective oscillations of a trapped boson-fermion mixed condensate is studied in the sum rule approach. Mixing angle of bosonic and fermionic multipole operators is introduced so that the mixing characters of the low-lying…

Condensed Matter · Physics 2016-08-31 T. Miyakawa , T. Suzuki , H. Yabu

We investigate the use of an operatorial basis in a self-consistent theory of large amplitude collective motion. For the example of the pairing-plus-quadrupole model, which has been studied previously at equilibrium, we show that a small…

Nuclear Theory · Physics 2009-11-10 Daniel Almehed , Niels R. Walet

Hybrid quantum-classical approaches offer potential solutions to quantum chemistry problems, yet they often manifest as constrained optimization problems. Here, we explore the interconnection between constrained optimization and generalized…

Quantum Physics · Physics 2025-03-27 Muqing Zheng , Bo Peng , Ang Li , Xiu Yang , Karol Kowalski

The generator coordinate method (GCM) is an important tool of choice for modeling large-amplitude collective motion in atomic nuclei. The computational complexity of the GCM increases rapidly with the number of collective coordinates. It…

Nuclear Theory · Physics 2023-02-10 X. Zhang , W. Lin , J. M. Yao , C. F. Jiao , A. M. Romero , T. R. Rodríguez , H. Hergert

Background: Collective excitations of nuclei and their theoretical descriptions provide an insight into the structure of nuclei. Replacing traditional phenomenological interactions with unitarily transformed realistic nucleon-nucleon…

Nuclear Theory · Physics 2014-09-03 Bastian Erler , Robert Roth