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A recently introduced relativistic nuclear energy density functional, constrained by features of low-energy QCD, is extended to describe the structure of hypernuclei. The density-dependent mean field and the spin-orbit potential of a…

Nuclear Theory · Physics 2008-11-26 P. Finelli

The extended Gutzwiller trajectory approach is presented for the semiclassical description of nuclear collective dynamics, in line with the main topics of the fruitful activity of V.G. Solovjov. Within the Fermi-liquid droplet model, the…

Nuclear Theory · Physics 2017-05-24 A. G. Magner , D. V. Gorpinchenko , J. Bartel

Uniform semiclassical approximations for the number and kinetic-energy densities are derived for many non-interacting fermions in one-dimensional potentials with two turning points. The resulting simple, closed-form expressions contain the…

Quantum Physics · Physics 2015-02-26 Raphael F. Ribeiro , Donghyung Lee , Attila Cangi , Peter Elliott , Kieron Burke

We present calculations of the energy per particle of pure neutron and symmetric nuclear matter with simplified Argonne nucleon-nucleon potentials for different many-body theories. We compare critically the Brueckner-Hartree-Fock results to…

Nuclear Theory · Physics 2015-06-05 M. Baldo , A. Polls , A. Rios , H. -J. Schulze , I. Vidana

The excitation functions of proton elastic scattering on $^{12}$C and $^{14,15}$O nuclei at the energies near the proton-emission threshold are calculated using the Skyrme Hartree-Fock (SHF) in continuum approach. For each excitation…

Nuclear Theory · Physics 2026-02-16 Le-Anh Nguyen , Young-ho Song , Minh-Loc Bui

We consider a quantum system constituted by $N$ identical particles interacting by means of a mean-field Hamiltonian. It is well known that, in the limit $N\to\infty$, the one-particle state obeys to the Hartree equation. Moreover,…

Mathematical Physics · Physics 2015-05-13 Federica Pezzotti , Mario Pulvirenti

It is well known that the ultra-relativistic Thomas-Fermi equation, amply adopted in the study of heavy nuclei, admits an exact solution for a constant proton distribution within a spherical core of radius Rc. Here exact solutions of a…

Solar and Stellar Astrophysics · Physics 2009-03-25 Michael Rotondo , Remo Ruffini , She-Sheng Xue

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

Relativistic energy density functionals (EDF) have become a standard tool for nuclear structure calculations, providing a complete and accurate, global description of nuclear ground states and collective excitations. Guided by the medium…

Nuclear Theory · Physics 2015-05-27 Tamara Niksic , Dario Vretenar , Peter Ring

A simple and efficient method to treat nuclear pairing correlations within a simple Hartree-Fock--plus-BCS description is proposed and discussed. It relies on the fact that the intensity of pairing correlations depends crucially on level…

Nuclear Theory · Physics 2024-09-18 Meng-Hock Koh , Philippe Quentin

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

We employed the Skyrme-Hartree-Fock model to investigate the density distributions and their dependence on nuclear shapes and isospins in the superheavy mass region. Different Skyrme forces were used for the calculations with a special…

Nuclear Theory · Physics 2009-11-11 J. C. Pei , F. R. Xu , P. D. Stevenson

Properties of asymmetric nuclear matter are derived from various many-body approaches. This includes phenomenological ones like the Skyrme Hartree-Fock and relativistic mean field approaches, which are adjusted to fit properties of nuclei,…

Nuclear Theory · Physics 2009-04-28 P. Gögelein , E. N. E. van Dalen , Kh. Gad , Kh. S. A. Hassaneen , H. Müther

Based on the standard Skyrme energy density functionals together with the extended Thomas-Fermi approach, the properties of symmetric and asymmetric nuclear matter represented in two macroscopic-microscopic mass formulas: Lublin-Strasbourg…

Nuclear Theory · Physics 2016-03-10 Ning Wang , Min Liu , Li Ou , Yingxun Zhang

A current objective of low-energy nuclear theory is to build non-empirical nuclear energy density functionals (EDFs) from underlying inter-nucleon interactions and many-body perturbation theory (MBPT). The density matrix expansion (DME) of…

Nuclear Theory · Physics 2014-11-20 B. Gebremariam , T. Duguet , S. K. Bogner

The reconstruction of the neutrino energy is crucial in oscillation experiments that use interactions with nuclei to detect the neutrino. The common reconstruction procedure is based on the kinematics of the final-state lepton. The…

We construct a class of systems for which quantum dynamics can be expanded around a mean field approximation with essentially classical content. The modulus of the quantum overlap of mean field states naturally introduces a classical…

The development of a modern and more realistic nuclear energy density functional (EDF) for accurate predictions of properties of nuclei is the subject of enhanced activity, since it is very important for the study of properties of nuclear…

Nuclear Theory · Physics 2019-11-14 S. Shlomo , A. I. Sanzhur

Realistic density dependent CDM3Yn versions of the M3Y interaction have been used in an extended Hartree-Fock (HF) calculation of nuclear matter (NM), with the nucleon single-particle potential determined from the total NM energy based on…

Nuclear Theory · Physics 2016-10-12 Dao T. Khoa , Nguyen Hoang Phuc , Doan Thi Loan , Bui Minh Loc

Relativistic mean-field models (RMF) based on the exchange of $\sigma$, $\omega$, and $\rho$ mesons including non-linear nucleon-$\sigma$ couplings and density-dependent $\rho$ coupling, are considered. A large set of models is generated…

Nuclear Theory · Physics 2025-04-01 Luca Passarella , Jerome Margueron , Giuseppe Pagliara