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We introduce a shell-model theory that combines traditional spherical states, which yield a diagonal representation of the usual single-particle interaction, with collective configurations that track deformations, and test the validity of…

Nuclear Theory · Physics 2009-11-07 V. G. Gueorguiev , W. E. Ormand , C. W. Johnson , J. P. Draayer

Nuclear binding energies and two-neutron separation energies are analyzed starting from the liquid-drop model and the nuclear shell model in order to describe the global trends of the above observables. We subsequently concentrate on the…

Nuclear Theory · Physics 2009-11-07 R. Fossion , C. De Coster , J. E. Garcia-Ramos , T. Werner , K. Heyde

We propose a novel storage scheme for three-nucleon (3N) interaction matrix elements relevant for the normal-ordered two-body approximation used extensively in ab initio calculations of atomic nuclei. This scheme reduces the required memory…

Nuclear Theory · Physics 2022-01-04 T. Miyagi , S. R. Stroberg , P. Navrátil , K. Hebeler , J. D. Holt

We construct new equations of state for baryons at sub-nuclear densities for the use in core-collapse supernova simulations. The abundance of various nuclei is obtained together with thermodynamic quantities. The formulation is an extension…

Nuclear Theory · Physics 2017-07-21 Shun Furusawa , Kohsuke Sumiyoshi , Shoichi Yamada , Hideyuki Suzuki

Nuclei are prototypes of many-body open quantum systems. Complex aggregates of protons and neutrons that interact through forces arising from quantum chromo-dynamics, nuclei exhibit both bound and unbound states, which can be strongly…

Nuclear Theory · Physics 2015-06-04 S. Quaglioni , P. Navratil , R. Roth , W. Horiuchi

The nuclear shell model has been perhaps the most important conceptual and computational paradigm for the understanding of the structure of atomic nuclei. While the shell model has been predominantly used in a phenomenological context,…

Nuclear Theory · Physics 2019-10-25 S. Ragnar Stroberg , Scott K. Bogner , Heiko Hergert , Jason D. Holt

We review the ab initio symmetry-adapted (SA) framework for determining the structure of stable and unstable nuclei, along with related electroweak, decay and reaction processes. This framework utilizes the dominant symmetry of nuclear…

Nuclear Theory · Physics 2021-08-12 Kristina D. Launey , Alexis Mercenne , Tomas Dytrych

Quantum entanglement offers a unique perspective into the underlying structure of strongly-correlated systems such as atomic nuclei. In this paper, we use quantum information tools to analyze the structure of light and medium-mass…

We study the ability of variational approaches based on self-consistent mean-field and beyond-mean-field methods to reproduce exact energies and electromagnetic properties of the nuclei defined within the $sd$-shell valence space using the…

Nuclear Theory · Physics 2021-11-15 Adrián Sánchez-Fernández , Benjamin Bally , Tomás R. Rodríguez

We merge two successful ab initio nuclear-structure methods, the no-core shell model (NCSM) and the multi-reference in-medium similarity renormalization group (IM-SRG) to define a new many-body approach for the comprehensive description of…

Nuclear Theory · Physics 2017-04-20 Eskendr Gebrerufael , Klaus Vobig , Heiko Hergert , Robert Roth

The complex scaling method is commonly used to describe decaying states, but its applications are limited because the Hamiltonian operator must contain only relative coordinates. This has hindered the use of complex scaling in models…

Nuclear Theory · Physics 2026-01-22 A. T. Kruppa , N. Michel , Xin-le Shang , Wei Zuo

The extension of the Boltzmann-Uehling-Uhlenbeck model of nucleus-nucleus collision is presented. The isospin-dependent nucleon-nucleon cross sections are estimated using the proper volume extracted from the equation of state of the nuclear…

Nuclear Theory · Physics 2015-06-15 Martin Veselsky , Yu-Gang Ma

The Similarity Renormalization Group (SRG) is used to soften interactions for ab initio nuclear structure calculations by decoupling low- and high-energy Hamiltonian matrix elements. The substantial contribution of both initial and…

Nuclear Theory · Physics 2013-05-22 E. D. Jurgenson , P. Maris , R. J. Furnstahl , P. Navratil , W. E. Ormand , J. P. Vary

We construct new equations of state for baryons at sub-nuclear densities for the use in core-collapse simulations of massive stars. The abundance of various nuclei is obtained together with thermodynamic quantities. A model free energy is…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Shun Furusawa , Kohsuke Sumiyoshi , Shoichi Yamada , Hideyuki Suzuki

We present a pedagogical introduction to the In-Medium Similarity Renormalization Group (IM-SRG) framework for ab initio calculations of nuclei. The IM-SRG performs continuous unitary transformations of the nuclear many-body Hamiltonian in…

Nuclear Theory · Physics 2016-12-28 H. Hergert

The nuclear shell model accurately describes the structure and dynamics of atomic nuclei. However, the exponential scaling of the basis size with the number of degrees of freedom hampers a direct numerical solution for heavy nuclei. In this…

The nuclear shell model is one of the prime many-body methods to study the structure of atomic nuclei, but it is hampered by an exponential scaling on the basis size as the number of particles increases. We present a shell-model quantum…

Quantum Physics · Physics 2023-09-18 A. Pérez-Obiol , A. M. Romero , J. Menéndez , A. Rios , A. García-Sáez , B. Juliá-Díaz

Low-lying states in nuclei are investigated using an ensemble of random interactions. Both in the nuclear shell model and in the interacting boson model we find a dominance of $J^P=0^+$ ground states. It is shown that this feature is not…

Nuclear Theory · Physics 2017-11-03 R. Bijker , A. Frank , S. Pittel

We propose a new theoretical approach to ground and low-energy excited states of nuclei extending the nuclear mean-field theory. It consists of three steps: stochastic preparation of many Slater determinants, the parity and angular momentum…

Nuclear Theory · Physics 2009-11-11 S. Shinohara , H. Ohta , T. Nakatsukasa , K. Yabana

The prediction of nuclear observables beyond the finite model spaces that are accessible through modern ab initio methods, such as the no-core shell model, pose a challenging task in nuclear structure theory. It requires reliable tools for…

Nuclear Theory · Physics 2023-03-15 Marco Knöll , Tobias Wolfgruber , Marc L. Agel , Cedric Wenz , Robert Roth