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A generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a…

Nuclear Theory · Physics 2009-11-07 V. B. Soubbotin , V. I. Tselyaev , X. Vinas

We propose new effective inter-nucleon forces with a finite-range three-body operator. The proposed forces are suitable for describing the nuclear structure properties over a wide mass number region, including the saturation point of…

Nuclear Theory · Physics 2009-11-10 Y. Kanada-En'yo , Y. Akaishi

We introduce the multivariate decomposition finite element method for elliptic PDEs with lognormal diffusion coefficient $a=\exp(Z)$ where $Z$ is a Gaussian random field defined by an infinite series expansion $Z(\boldsymbol{y}) =…

Numerical Analysis · Mathematics 2021-09-28 Dong T. P. Nguyen , Dirk Nuyens

The new, model-independent method to estimate simultaneously the level densities excited in the (n,gamma) reaction and the radiative strength functions of dipole transitions is developed. The method can be applied for any nucleus and…

Nuclear Experiment · Physics 2007-05-23 V. A. Khitrov , A. M. Sukhovoj

We propose a method for microscopic calculations of nuclear ground-state properties in the framework of density functional theory. We discuss how the density functional is equivalent to the effective action for the density, thereby…

Nuclear Theory · Physics 2007-05-23 A. Schwenk , J. Polonyi

We propose an efficient algorithm for the evaluation of the potential and its gradient of gravitational/electrostatic $N$-body systems, which we call particle mesh multipole method (PMMM or PM$^3$). PMMM can be understood both as an…

Instrumentation and Methods for Astrophysics · Physics 2014-10-20 Keigo Nitadori

The Fast Multipole Method (FMM) offers an acceleration for pairwise interaction calculation, known as $N$-body problems, from $\mathcal{O}(N^2)$ to $\mathcal{O}(N)$ with $N$ particles. This has brought dramatic increase in the capability of…

Data Structures and Algorithms · Computer Science 2011-09-21 Felipe A. Cruz , L. A. Barba

We study Gamow-Teller strength distributions of 76Ge and 76Se within a deformed QRPA formalism, which includes residual spin-isospin forces in the particle-hole and particle-particle channels. We consider two different methods to construct…

Nuclear Theory · Physics 2007-05-23 P. Sarriguren , E. Moya de Guerra , L. Pacearescu , Amand Faessler , F. Simkovic , A. A. Raduta

In this first-of-its-kind survey conducted on heavy and deformed nuclei in the actinide region of the nuclear chart, we have charted nuclear ground state properties predicted by Fayans energy density functionals (EDFs), focusing in…

Nuclear Theory · Physics 2026-03-24 Gauthier Danneaux , Markus Kortelainen

The random-phase-approximation (RPA) method with separable residual forces (SRPA) is proposed for the description of multipole electric oscillations of valence electrons in deformed alkali metal clusters. Both the deformed mean field and…

Atomic and Molecular Clusters · Physics 2009-11-07 W. Kleinig , V. O. Nesterenko , P. G. Reinhard

In a framework for nonperturbative QCD calculation of high energy processes, the amplitudes for photo- and electroproduction of vector mesons are written as integrals of the overlap product of photon and vector meson wave functions,…

High Energy Physics - Phenomenology · Physics 2010-04-05 E. Ferreira , V. L. Baltar

We review an extension of Migdal's Theory of Finite Fermi Systems which has been developed and applied to collective vibrations in closed shell nuclei in the past ten years. This microscopic approach is based on a consistent use of the…

Nuclear Theory · Physics 2015-06-26 S. Kamerdzhiev , J. Speth , G. Tertychny

The alpha-decay half-lives of recently synthesized superheavy nuclei (SHN) are investigated based on a unified fission model (UFM) where a new method to calculate the assault frequency of alpha-emission is used. The excellent agreement with…

Nuclear Theory · Physics 2011-02-28 Jianmin Dong , Wei Zuo , Jianzhong Gu , Yanzhao Wang , Bangbao Peng

Radioactive decay of nuclei via emission of $\alpha$ particles has been studied theoretically in the framework of a superasymmetric fission model using the double folding (DF) procedure for obtaining the $\alpha$-nucleus interaction…

Nuclear Theory · Physics 2008-11-26 D. N. Basu

We discuss properties of the quadrupole collective excitation of the deformed neutron-rich nucleus $^{38}$Mg within the framework of quasi-particle random phase approximation (QRPA). We first solve the coupled-channels equations to obtain…

Nuclear Theory · Physics 2015-06-26 K. Hagino , Nguyen Van Giai , H. Sagawa

We show that within the framework of a simple local nuclear energy density functional (EDF), one can describe accurately the one-- and two--nucleon separation energies of semi--magic nuclei. While for the normal part of the EDF we use…

Nuclear Theory · Physics 2009-11-07 Yongle Yu , Aurel Bulgac

The accurate measurement of microscopic force fields is crucial in many branches of science and technology, from biophotonics and mechanobiology to microscopy and optomechanics. These forces are often probed by analysing their influence on…

Data Analysis, Statistics and Probability · Physics 2019-03-06 Laura Pérez García , Jaime Donlucas Pérez , Giorgio Volpe , Alejandro V. Arzola , Giovanni Volpe

An adaptive modeling method (AMM) that couples a deep neural network potential and a classical force field is introduced to address the accuracy-efficiency dilemma faced by the molecular simulation community. The AMM simulated system is…

Chemical Physics · Physics 2018-11-14 Linfeng Zhang , Han Wang , Weinan E

This paper presents a novel exact finite element formulation of quasi-3D beam for high-fidelity analysis of functionally graded sandwich beams. Unlike conventional displacement-based elements that rely on approximate interpolation functions…

Numerical Analysis · Mathematics 2026-01-21 Wenxiong Li , Suiyin Chen

The spectral function for finite nuclei is computed within the framework of the Local Density Approximation, starting from nuclear matter spectral functions obtained with a realistic nucleon-nucleon interaction. The spectral function is…

Nuclear Theory · Physics 2008-11-26 D. Van Neck , A. E. L. Dieperink , E. Moya de Guerra
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