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Energy density functionals (EDFs) have been used extensively with great success to calculate properties of nuclei and to predict the equation of state (EOS) of dense nuclear matter. Besides non-relativistic EDFs, mostly of the Skyrme or…

Nuclear Theory · Physics 2024-10-29 Stefan Typel , Shalom Shlomo

We perform a detailed analysis of the properties of the finite-range tensor term associated with the Gogny and M3Y effective interactions. In particular, by using a partial wave decomposition of the equation of state of symmetric nuclear…

Nuclear Theory · Physics 2016-06-15 D. Davesne , P. Becker , A. Pastore , J. Navarro

We discuss some infinite matter properties of two finite-range interactions widely used for nuclear structure calculations, namely Gogny and M3Y interactions. We show that some useful informations can be deduced for the central, tensor and…

Nuclear Theory · Physics 2016-10-20 D. Davesne , P. Becker , A. Pastore , J. Navarro

We present a new Gogny-type finite-range effective interaction including a third Gaussian in the central term. Based on simple arguments valid for an arbitrary radial form factor, the three ranges are fixed from physical grounds, relating…

Nuclear Theory · Physics 2023-08-16 L. Batail , D. Davesne , S. Péru , P. Becker , A. Pastore , J. Navarro

We extend density-matrix expansions in nuclei to higher orders in derivatives of densities and test their convergence properties. The expansions allow for converting the interaction energies characteristic to finite- and short-range nuclear…

Nuclear Theory · Physics 2011-04-19 B. G. Carlsson , J. Dobaczewski

The origin of the nuclear tensor interaction in the covariant energy density functional (EDF) is presented in this work, associated with the Fock diagrams of Lorentz scalar and vector couplings. With this newly obtained relativistic…

Nuclear Theory · Physics 2015-04-01 Li Juan Jiang , Shen Yang , Bao Yuan Sun , Wen Hui Long , Huai Qiang Gu

We propose a novel idea to construct an effective interaction under energy-density-functional (EDF) theories which is adaptive to the enlargement of the model space. Guided by effective field theory principles, iterations of interactions as…

Nuclear Theory · Physics 2022-07-22 C. J. Yang , W. G. Jiang , S. Burrello , M. Grasso

In this work, we propose an effective finite-range Gogny-type interaction that can be directly used in the quantum molecular dynamics (QMD) like model. Two methods for determining the parameters of the effective interaction are discussed.…

Nuclear Theory · Physics 2025-04-22 Meiqi Sun , Dandan Niu , Junping Yang , Ying Cui , Zhuxia Li , Qiang Zhao , Kai Zhao , Yingxun Zhang

We discuss the need of including tensor terms in the effective Gogny interaction used in mean-field calculations. We show in one illustrative case that, with the usual tensor term that is employed in the Skyrme interaction (and that allows…

Nuclear Theory · Physics 2015-06-11 Marta Anguiano , Marcella Grasso , Giampaolo Co' , Viviana De Donno , Antonio M. Lallena

A fully-antisymmetrized random phase approximation calculation employing the continued fraction technique is performed to study nuclear matter response functions with the finite range Gogny force. The most commonly used parameter sets of…

Nuclear Theory · Physics 2016-09-13 A. De Pace , M. Martini

We present a study of the effects of the tensor-isospin term of the effective interaction in Hartree-Fock and Random Phase Approximation calculations. We used finite-range forces of Gogny type, and we added to them a tensor-isospin term…

Nuclear Theory · Physics 2011-07-04 M. Anguiano , G. Co' , V. De Donno , A. M. Lallena

New energy-density functionals (EDFs) inspired by effective-field theories (EFTs) have been recently proposed. The present work focuses on three of such functionals which were developed to produce satisfactory equations of state for nuclear…

Nuclear Theory · Physics 2018-09-26 Jérémy Bonnard , Marcella Grasso , Denis Lacroix

We introduce a finite-range pseudopotential built as an expansion in derivatives up to next-to-next-to-next-to-leading order (N$^3$LO) and we calculate the corresponding nonlocal energy density functional (EDF). The coupling constants of…

Nuclear Theory · Physics 2015-06-18 F. Raimondi , K. Bennaceur , J. Dobaczewski

The interaction between electronic and nuclear spins in the presence of external magnetic fields can be described by a spin Hamiltonian, with parameters obtained from first principles, electronic structure calculations. We describe an…

Materials Science · Physics 2019-04-10 Krishnendu Ghosh , He Ma , Vikram Gavini , Giulia Galli

By assuming that the isospin- and momentum-dependent MDI interaction has a form similar to the Gogny-like effective two-body interaction with a Yukawa finite-range term and the momentum dependence only originates from the finite-range…

Nuclear Theory · Physics 2010-10-19 Jun Xu , Che Ming Ko

This paper extends previous studies on the impact of tensor forces in fission dynamics of neutron-deficient Thorium isotopes to other isotopic chains of heavy actinides and low-mass super-heavy nuclei. Calculations are carried out within a…

Nuclear Theory · Physics 2024-10-18 R. Rodríguez-Guzmán , L. M. Robledo , R. N. Bernard

The proper understanding of the equation of state (EoS) of highly asymmetric nuclear matter is essential when studying systems such as neutron stars (NSs). Using zero-range Skyrme interactions and finite-range interactions such as Gogny…

Nuclear Theory · Physics 2020-03-03 Claudia Gonzalez-Boquera

Background: The study of additional terms in functionals is relevant to better describe nuclear structure phenomenology. Among these terms, the tensor one is known to impact nuclear structure properties, especially in neutron-rich nuclei.…

Nuclear Theory · Physics 2023-03-29 F. Mercier , J. -P. Ebran , E. Khan

We study the effects of the tensor force, present in modern effective nucleon-nucleon interactions, in the spin instability of nuclear and neutron matter. Stability conditions of the system against certain very low energy excitation modes…

Nuclear Theory · Physics 2015-06-15 J. Navarro , A. Polls

Nuclear matter is studied within the Density Functional Theory (DFT) framework. Our method employs a finite number of nucleons in a box subject to periodic boundary conditions, in order to simulate infinite matter and study its response to…

Nuclear Theory · Physics 2023-04-26 Francesco Marino , Gianluca Colò , Xavier Roca-Maza , Enrico Vigezzi
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