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Explaining observed properties in terms of underlying shape degrees of freedom is a well--established prism with which to understand atomic nuclei. Self--consistent mean--field models provide one tool to understand nuclear shapes, and their…

Nuclear Theory · Physics 2015-12-01 P. D. Stevenson , P. M. Goddard , A. Rios

Studies of fission dynamics, based on nuclear energy density functionals, have shown that the coupling between shape and pairing degrees of freedom has a pronounced effect on the nonperturbative collective inertia and, therefore, on dynamic…

Nuclear Theory · Physics 2016-05-24 Jie Zhao , Bing-Nan Lu , Tamara Niksic , Dario Vretenar , Shan-Gui Zhou

Nuclear mean-field models are briefly reviewed to illustrate its foundation and necessity of state dependence in effective interactions. This state dependence is successfully taken into account by the density dependence, leading to the…

Nuclear Theory · Physics 2015-06-11 Takashi Nakatsukasa

The recently proposed Symmetry-Conserving Energy Density Functional approach [G. Hupin, D. Lacroix and M. Bender, Phys. Rev. C84, 014309 (2011)] is applied to perform Variation After Projection onto good particle number using Skyrme…

Nuclear Theory · Physics 2019-05-16 Guillaume Hupin , Denis Lacroix

In this work, we explore two classes of density dependent relativistic mean-field models, their predictions of proton fractions at high densities and neutron star structure. We have used a metamodelling approach to these relativistic…

Nuclear Theory · Physics 2025-02-07 Prasanta Char , Chiranjib Mondal

The Wilsonian renormalization group implies that an arbitrary four dimensional field theory with an ultraviolet cutoff is equivalent to a theory which is renormalizable by power counting at energy scales much below the cutoff. This applies…

High Energy Physics - Theory · Physics 2009-10-31 Hidenori Sonoda

We develop the real stabilization method within the framework of the relativistic mean field (RMF) model. With the self-consistent nuclear potentials from the RMF model, the real stabilization method is used to study single-particle…

Nuclear Theory · Physics 2008-11-26 Li Zhang , Shan-Gui Zhou , Jie Meng , En-Guang Zhao

Pairing plays a central role in nuclear systems. The simplest model for the pairing is the constant-pairing Hamiltonian. The aim of the present paper is to include the continuum single particle level density in the constant pairing…

Nuclear Theory · Physics 2012-04-10 Rodolfo Id Betan

We present an algorithm to extract the distance list from atomic pair distribution functions (PDFs) in a highly automated way. The algorithm is constructed via curve fitting based on a Debye scattering equation model. Due to the non-convex…

Materials Science · Physics 2019-01-23 Ran Gu , Soham Banerjee , Qiang Du , Simon J. L. Billinge

We have studied strength in the BCS pairing force, used as a residual interaction to the relativistic mean-field to reproduce the height of the inner fission barriers for actinide nuclei. It was found that increasing the pairing strength by…

Nuclear Theory · Physics 2021-12-17 Taiki Kouno , Chikako Ishizuka , Tsunenori Inakura , Satoshi Chiba

Thermal properties of single species nucleon matter are investigated assuming a simple form of the nucleon-nucleon interaction. The nucleons are placed on a cubic lattice, hopping from site to site and interacting through a spin-dependent…

Nuclear Theory · Physics 2014-11-18 T. Abe , R. Seki , A. N. Kocharian

The quest for topological superconductors triggers revived interests in resolving non-s-wave pairing channels mediated by phonons. While density functional theory and density functional perturbtaion theory have established a powerful…

Superconductivity · Physics 2025-08-01 Zimeng Zeng , Xiaoming Zhang , Shunhong Zhang , Jian Wu , Zheng Liu

Relativistic energy density functionals have become a standard framework for nuclear structure studies of ground-state properties and collective excitations over the entire nuclide chart. We review recent developments in modeling nuclear…

Nuclear Theory · Physics 2015-10-28 N. Paar , T. Marketin , D. Vale , D. Vretenar

Non-empirical effective contact pairing forces to be used in self-consistent mean-field calculations are presented. These pairing forces, constructed so as to reproduce exactly any given microscopic pairing gaps in infinite homogeneous…

Nuclear Theory · Physics 2010-09-21 Nicolas Chamel

The restoration of particle number within Energy Density Functional theory is analyzed. It is shown that the standard method based on configuration mixing leads to a functional of both the projected and non-projected densities. As an…

Nuclear Theory · Physics 2011-08-08 Guillaume Hupin , Denis Lacroix , Michael Bender

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

Density Functional Theory (DFT) is a powerful and accurate tool exploited in Nuclear Physics to investigate the ground-state and some collective properties of nuclei along the whole nuclear chart. Models based on DFT are, however, not…

Nuclear Theory · Physics 2017-10-26 X. Roca-Maza , Y. F. Niu , G. Colò , P. F. Bortignon

A statistical theory of the mean field is developed. It is based on the proposition that the mean field can be obtained as an energy average. Moreover, it is assumed that the matrix elements of the residual interaction, obtained after the…

Nuclear Theory · Physics 2009-10-30 R. Caracciolo , A. De Pace , H. Feshbach , A. Molinari

We present a method for the first-principles calculation of nuclear magnetic resonance (NMR) J-coupling in extended systems using state-of-the-art ultrasoft pseudopotentials and including scalar-relativistic effects. The use of ultrasoft…

Materials Science · Physics 2014-08-12 Timothy F. G. Green , Jonathan R. Yates

The current generation of covariant mean-field models has had many successes in calculations of bulk observables for medium to heavy nuclei, but there remain many open questions. New challenges are confronted when trying to systematically…

Nuclear Theory · Physics 2017-01-25 R. J. Furnstahl