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In this note, we consider the highly nonconvex optimization problem associated with computing the rank decomposition of symmetric tensors. We formulate the invariance properties of the loss function and show that critical points detected by…

Optimization and Control · Mathematics 2023-12-29 Yossi Arjevani , Joan Bruna , Michael Field , Joe Kileel , Matthew Trager , Francis Williams

A study of properties of the symmetry energy of nuclei is presented based on density functional theory. Calculations for finite nuclei are given so that the study includes isospin dependent surface symmetry considerations as well as isospin…

Nuclear Theory · Physics 2011-01-28 S. J. Lee , A. Z. Mekjian

The nonrelativistic reduction of the self-consistent covariant density functional theory is realized for the first time with the similarity renormalization group (SRG) method. The reduced nonrelativistic Hamiltonian and densities are…

Nuclear Theory · Physics 2020-08-19 Z. X. Ren , P. W. Zhao

While ab initio many-body techniques have been able to successfully describe the properties of light and intermediate mass nuclei based on chiral effective field theory interactions, neutron-rich nuclei still remain out of reach for these…

Nuclear Theory · Physics 2020-01-08 R. Navarro Pérez , N. Schunck

An improved density-matrix expansion is used to calculate the nuclear energy density functional from chiral two- and three-nucleon interactions. The two-body interaction comprises long-range one- and two-pion exchange contributions and a…

Nuclear Theory · Physics 2015-05-30 J. W. Holt , N. Kaiser , W. Weise

For the first time primary hot isotope distributions are experimentally reconstructed in intermediate heavy ion collisions and used with antisymmetrized molecular dynamics (AMD) calculations to determine density, temperature and symmetry…

Linear density response functions are calculated for symmetric nuclear matter of normal density by time-evolving two-time Green's functions in real time. The feasability and convenience of this approach to this particular problem has been…

Nuclear Theory · Physics 2017-06-21 H. S. Köhler

Energy for a nucleus is considered in macroscopic limit, in terms of nucleon numbers. Further considered for a nuclear system is the Hohenberg-Kohn energy functional, in terms of proton and neutron densities. Finally, Skyrme-Hartree-Fock…

Nuclear Theory · Physics 2009-11-13 Pawel Danielewicz , Jenny Lee

We discuss nuclear modification of fragmentation functions in the context of the so-called ``rescaling models''. These models implement partial deconfinement inside nuclei by modifying the fragmentation functions perturbatively. We apply…

Nuclear Theory · Physics 2009-11-07 Alberto Accardi , Hans J. Pirner

Background: Extensions of single-reference (SR) energy-density-functionals (EDFs) to multi-reference (MR) applications involve using the generalized Wick theorem (GWT), which leads to singular energy kernels that cannot be properly…

Nuclear Theory · Physics 2014-12-09 Wojciech Satula , Jacek Dobaczewski

The analogy between supersymmetric quantum mechanics and matter-enhanced neutrino oscillations is exploited to obtain exact solutions for a class of electron density profiles. This integrability condition is analogous to the…

High Energy Physics - Phenomenology · Physics 2009-12-30 A. B. Balantekin

The symmetry energy of nuclear matter is a fundamental ingredient in the investigation of exotic nuclei, heavy-ion collisions and astrophysical phenomena. New data from heavy-ion collisions can be used to extract the free symmetry energy…

We present the basic concepts and recent developments in the time-dependent density functional theory (TDDFT) for describing nuclear dynamics at low energy. The symmetry breaking is inherent in nuclear energy density functionals (EDFs),…

Nuclear Theory · Physics 2016-12-21 Takashi Nakatsukasa , Kenichi Matsuyanagi , Masayuki Matsuo , Kazuhiro Yabana

The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in…

Nuclear Theory · Physics 2009-11-07 S. A. Fayans , S. V. Tolokonnikov , E. L. Trykov , D. Zawischa

Concepts from information geometry are used to analyse parameter sensitivity for a nuclear energy density functional, representative of a class of semi-empirical functionals that start from a microscopically motivated ansatz for the density…

Nuclear Theory · Physics 2016-08-29 Tamara Niksic , Dario Vretenar

In spite of numerous scientific and practical applications, there is still no comprehensive theoretical description of the nuclear fission process based solely on protons, neutrons and their interactions. The most advanced simulations of…

Nuclear Theory · Physics 2025-10-29 N. Schunck , K. R. Quinlan , J. Bernstein

The Energy Density Functional theory is one of the most used methods developed in nuclear structure. It is based on the assumption that the energy of the ground state is a functional only of the density profile. The method is extremely…

Nuclear Theory · Physics 2015-07-10 M. Baldo , P. F. Bortignon , G. Colo' , D. Rizzo , L. Sciacchitano

The energy density functional (EDF) method is currently the only microscopic theoretical approach able to tackle the entire nuclear chart. Nevertheless, it suffers from limitations resulting from its empirical character and deteriorating…

Nuclear Theory · Physics 2024-04-04 Kilian Fraboulet , Jean-Paul Ebran

One of the most significant challenges involved in efforts to understand the equation of state of dense neutron-rich matter is the uncertain density dependence of the nuclear symmetry energy. Because of its broad impact, pinning down the…

Nuclear Theory · Physics 2022-02-02 Plamen G. Krastev

We present a symmetry projection technique for enforcing rotational and parity symmetries in nuclear-electronic Hartree-Fock wave functions, which treat electrons and nuclei on equal footing. The molecular Hamiltonian obeys rotational and…

Chemical Physics · Physics 2023-11-03 Robin Feldmann , Alberto Baiardi , Markus Reiher
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