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A novel method for calculating spectroscopic properties of medium-mass and heavy atomic nuclei with an odd number of nucleons is introduced, based on the framework of nuclear energy density functional theory and the particle-core coupling…

Nuclear Theory · Physics 2016-05-04 K. Nomura , T. Nikšić , D. Vretenar

We describe a procedure for mapping a self-consistent mean-field theory (also known as density functional theory) into a shell model Hamiltonian that includes quadrupole-quadrupole and monopole pairing interactions in a truncated space. We…

Nuclear Theory · Physics 2008-11-26 R. Rodriguez-Guzman , Y. Alhassid , G. F. Bertsch

Electron scattering provides a powerful tool to determine charge distributions and transition densities of nuclei. This tool will soon be available for short-lived neutron-rich nuclei. [Purpose] Beyond mean-field methods have been…

Nuclear Theory · Physics 2015-03-10 J. M. Yao , M. Bender , P. -H. Heenen

A method of deriving the Hamiltonian of the interacting boson model, that is based on the microscopic framework of the nuclear energy density functional, is presented. The constrained self-consistent mean-field calculation with a given…

Nuclear Theory · Physics 2019-12-18 Kosuke Nomura

A method to describe spectra starting from nuclear density functionals is explored. The idea is based on postulating an effective Hamiltonian that reproduces the stiffness associated with collective modes. The method defines a simple form…

Nuclear Theory · Physics 2022-08-10 J. Ljungberg , B. G. Carlsson , J. Rotureau , A. Idini , I. Ragnarsson

Self-consistent mean field (MF) and beyond-mean-field (BMF) calculations of masses, separation energies and $2^{+}_{1}$ excitation energies of even-even nuclei where experimental data is available are presented. The functionals used are…

Nuclear Theory · Physics 2015-04-21 Tomás R. Rodríguez , Alexander Arzhanov , Gabriel Martínez-Pinedo

{Full three dimensional static and dynamic mean field calculations using collocation basis splines with a Skyrme type Hamiltonian are described. This program is developed to address the difficult theoretical challenges offered by exotic…

Nuclear Theory · Physics 2009-09-25 C. R. Chinn , A. S. Umar , M. Vallières , M. R. Strayer

The density functional theory of nuclear structure provides a many-particle wave function that is useful for static properties, but an extension of the theory is necessary to describe correlation effects or other dynamic properties. Here we…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid , G. F. Bertsch , L. Fang , B. Sabbey

Beyond mean-field methods are very successful tools for the description of large-amplitude collective motion for even-even atomic nuclei. The state-of-the-art framework of these methods consists in a Generator Coordinate Method based on…

Nuclear Theory · Physics 2014-10-22 B. Bally , B. Avez , M. Bender , P. -H. Heenen

We develop a novel theoretical method for calculating spectroscopic properties of those nuclei with odd number of nucleons, that is based on the nuclear density functional theory and the particle-boson coupling scheme. Self-consistent…

Nuclear Theory · Physics 2019-12-24 Kosuke Nomura

Deformation, a key concept in our understanding of heavy nuclei, is based on a mean-field description that breaks the rotational invariance of the nuclear many-body Hamiltonian. We present a method to analyze nuclear deformations at finite…

Nuclear Theory · Physics 2015-01-07 Y. Alhassid , C. N. Gilbreth , G. F. Bertsch

We describe how density-functional theory, well-known for its many uses in ab initio calculations of electronic structure, can be used to study the ground state of inhomogeneous model Hamiltonians. The basic ideas and concepts are discussed…

Materials Science · Physics 2007-05-23 Valter L. Libero , Klaus Capelle

We extensively develop a method of implementing mean-field calculations for deformed nuclei, using the Gaussian expansion method (GEM). This GEM algorithm has the following advantages: (i) it can efficiently describe the energy-dependent…

Nuclear Theory · Physics 2008-11-26 H. Nakada

Background: Mean-field methods based on an energy density functional (EDF) are powerful tools used to describe many properties of nuclei in the entirety of the nuclear chart. The accuracy required on energies for nuclear physics and…

Nuclear Theory · Physics 2015-12-29 W. Ryssens , P. -H. Heenen , M. Bender

An interacting-boson-model-1 (IBM-1) Hamiltonian, derived from self-consistent mean-field calculations using a Skyrme energy density functional is employed for the study of energy spectra and $B(E2)$ transition strengths in the even-even…

Nuclear Theory · Physics 2024-07-11 Polytimos Vasileiou , Dennis Bonatsos , Theo J. Mertzimekis

We present a novel nuclear energy density functional method to calculate spectroscopic properties of atomic nuclei. Intrinsic nuclear quadrupole deformations and rotational frequencies are considered simultaneously as the degrees of freedom…

Nuclear Theory · Physics 2016-02-10 J. Luis Egido , Marta Borrajo , Tomás R. Rodríguez

The impact of beyond mean field effects on the ground state and fission properties of superheavy nuclei has been investigated in a five-dimensional collective Hamiltonian based on covariant density functional theory. The inclusion of…

Nuclear Theory · Physics 2020-03-17 Z. Shi , A. V. Afanasjev , Z. P. Li , J. Meng

We analyze the octupole deformations and the related collective excitations in medium-heavy and heavy nuclei based on the microscopic framework of the nuclear energy density functional theory. Constrained self-consistent mean-field…

Nuclear Theory · Physics 2021-02-03 Kosuke Nomura

Dipole bosons are introduced in the interacting boson model (IBM) by means of the self-consistent mean-field method. The constrained mean-field calculations employing a given nuclear energy density functional yield the potential energy…

Nuclear Theory · Physics 2025-10-21 K. Nomura

We study the predictions of three mean-field theoretical approaches in the description of the ground state properties of some spherical nuclei far from the stability line. We compare binding energies, single particle spectra, density…

Nuclear Theory · Physics 2015-06-04 G. Co' , V. De Donno , P. Finelli , M. Grasso , M. Anguiano , A. M. Lallena , C. Giusti , A. Meucci , F. D. Pacati
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