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The crystalline structure of nuclear matter is investigated in the standard Skyrme model with massive pions. A semi-analytic method is developed to determine local minima of the static energy functional with respect to variations of both…

High Energy Physics - Theory · Physics 2023-10-17 Derek Harland , Paul Leask , Martin Speight

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

Understanding the mechanisms of induced nuclear fission for a broad range of neutron energies could help resolve fundamental science issues, such as the formation of elements in the universe, but could have also a large impact on societal…

Nuclear Theory · Physics 2015-03-26 N. Schunck , D. Duke , H. Carr

The possible boundary value problems of the skyrmions are reexamined in the original Skyrme model with two new viewpoints. The first one suggests to replace the infinity boundary point by the finite radius R, which is related to the density…

High Energy Physics - Phenomenology · Physics 2013-09-09 Viet Ai Nguyen , Khanh Duy Nguyen

A finite rank separable approximation for the quasiparticle RPA calculations with Skyrme interactions that was proposed in our previous work is extended to take into account the coupling between one- and two-phonon terms in the wave…

Nuclear Theory · Physics 2009-11-10 A. P. Severyukhin , V. V. Voronov , Ch. Stoyanov , Nguyen Van Giai

It has become clear in recent years that the configuration space of the nuclear Skyrme model has, in each topological class, many almost degenerate local energy minima and that the number of such minima grows with the degree (or baryon…

High Energy Physics - Theory · Physics 2023-10-12 James Martin Speight , Thomas Winyard

The problem of the determination of the nuclear surface and surface symmetry energy is addressed in the framework of the Extended Thomas Fermi (ETF) approximation using Skyrme functionals. We propose an analytical model for the density…

Nuclear Theory · Physics 2016-03-23 F. Aymard , F. Gulminelli , J. Margueron

The Hohenberg-Kohn theorem and Kohn-Sham procedure are extended to functionals of the localized intrinsic density of a self-bound system such as a nucleus. After defining the intrinsic-density functional, we modify the usual Kohn-Sham…

Nuclear Theory · Physics 2008-11-26 J. Engel

We propose a new scheme for constructing an effective-field-theory-based interaction to be used in the energy-density-functional (EDF) theory with specific assumptions for defining a power counting. This procedure is developed through the…

Nuclear Theory · Physics 2017-09-27 C. -J. Yang , M. Grasso , D. Lacroix

In this work, the particle number projection at finite temperature is incorporated into self-consistent Skyrme density functional calculations. In particular, the energies of compound nuclei as a function of deformations are calculated…

Nuclear Theory · Physics 2026-03-02 Jiawei Chen , Yu Qiang , Junchen Pei

From the optimization point of view, a difficulty with parallel MRI with simultaneous coil sensitivity estimation is the multiplicative nature of the non-linear forward operator: the image being reconstructed and the coil sensitivities…

Numerical Analysis · Mathematics 2018-02-06 Yonggui Zhu , Tuomo Valkonen

Models based on nuclear energy density functionals can provide access to a multitude of observables for thousands of nuclei in a single framework with microscopic foundations. Such models can rival the accuracy of more phenomenological…

Nuclear Theory · Physics 2022-12-28 Wouter Ryssens , Guillaume Scamps , S. Goriely , Michael Bender

We study a generalization of the Skyrme model with the inclusion of a sixth-order term and a generalized mass term. We first analyze the model in a regime where the nonlinear sigma and Skyrme terms are switched to zero which leads to…

High Energy Physics - Phenomenology · Physics 2014-11-21 Eric Bonenfant , Luc Marleau

We aim to develop a nuclear energy density functional that can be simultaneously applied to finite nuclei and neutron stars. We use the self-consistent nuclear density functional theory (DFT) with Skyrme energy density functionals and…

Nuclear Theory · Physics 2015-01-28 J. Erler , C. J. Horowitz , W. Nazarewicz , M. Rafalski , P. -G. Reinhard

Background: Various motivations for exploration of superheavy region revolve around the question on whether 126 is a spherical proton magic number, as is the case for neutrons. In exploring this region, identification of nuclei with…

Nuclear Theory · Physics 2025-06-04 W. Asous , Mastura Syamimi Abdullah , Meng-Hock Koh , Kok-Siong Khoo

Nuclear density functional theory provides a unified description of finite nuclei and bulk nuclear matter, and is widely used to model the neutron star equation of state. However, extrapolations to supra-saturation densities require a…

Based on a systematic Hartree-Fock+BCS calculation, new perturbation scheme is proposed to modify the existing Skyrme-type effective nuclear force. Much attention is paid to have a better description of fission property of heavy nuclei. In…

Nuclear Theory · Physics 2021-01-07 Kun Ratha Kean , Takashi Nishikawa , Yoritaka Iwata

A formalism for electronic-structure calculations is presented that is based on the functional renormalization group (FRG). The traditional FRG has been formulated for systems that exhibit a translational symmetry with an associated Fermi…

Materials Science · Physics 2016-10-12 Christian Seiler , Ferdinand Evers

The D1 family of parametrizations of the Gogny interaction commonly suffers from a rather soft neutron matter equation of state that leads to maximal masses of neutron stars well below the observational value of two solar masses. We propose…

Nuclear Theory · Physics 2018-02-07 C. Gonzalez-Boquera , M. Centelles , X. Viñas , L. M. Robledo

We discuss methods used in mean-field theories to treat pairing correlations within the local density approximation. Pairing renormalization and regularization procedures are compared in spherical and deformed nuclei. Both prescriptions…

Nuclear Theory · Physics 2009-11-11 P. J. Borycki , J. Dobaczewski , W. Nazarewicz , M. V. Stoitsov