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The Skyrme energy density functional has been applied to the study of heavy-ion fusion reactions. The barriers for fusion reactions are calculated by the Skyrme energy density functional with proton and neutron density distributions…

Nuclear Theory · Physics 2009-11-11 Min Liu , Ning Wang , Zhuxia Li , Xizhen Wu , Enguang Zhao

The momentum and density dependence of mean fields in symmetric and asymmetric nuclear matter are analysed using the simple density dependent finite range effective interaction containing a single Gaussian term alongwith the zero-range…

Nuclear Theory · Physics 2015-06-11 T. R. Routray , X. Vinas , S. K. Tripathy , M. Bhuyan , S. K. Patra , B. Behera

A quantitative understanding of the weak nuclear response is a prerequisite for the analyses of neutrino experiments such as K2K and MiniBOONE, which measure energy and angle of the muons produced in neutrino-nucleus interactions in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Omar Benhar , Nicola Farina , Hiroki Nakamura , Makoto Sakuda , Ryoichi Seki

A fully microscopic model for the description of nuclear level density (NLD) in spherical nuclei is proposed. The model is derived by combining the partition function of the exact pairing solution plus the independent-particle model at…

Nuclear Theory · Physics 2020-12-02 N. Quang Hung , N. Dinh Dang , L. Tan Phuc , N. Ngoc Anh , T. Dong Xuan , T. V. Nhan Hao

The relationship between the exact kinetic energy density in a quantum system in the frame of Density Functional Theory and the semiclassical functional expression for the same quantity is investigated. The analysis is performed with Monte…

Atomic and Molecular Clusters · Physics 2014-12-15 D. I. Palade

We perform Hartree calculations of symmetric and asymmetric semi-infinite nuclear matter in the framework of relativistic models based on effective hadronic field theories as recently proposed in the literature. In addition to the…

Nuclear Theory · Physics 2010-12-23 M. Del Estal , M. Centelles , X. Viñas

The separation energies of neutrons and protons, binding energies, mean square charge radii, electric quadrupole moments and deformation parameters of the proton and neutron distributions are evaluated for $\beta$ stable even-even nuclei…

Nuclear Theory · Physics 2016-09-08 K. Pomorski , P. Ring , G. A. Lalazissis , A. Baran , Z. Lojewski , B. Nerlo-Pomorska , M. Warda

Based on the Hugenholtz-Van Hove theorem, it is shown that both the symmetry energy E$_{sym}(\rho)$ and its density slope $L(\rho)$ at normal density $\rho_0$ are completely determined by the global nucleon optical potentials that can be…

Nuclear Theory · Physics 2010-12-02 Chang Xu , Bao-An Li , Lie-Wen Chen

We review recent results concerning the evolution of fermionic systems. We are interested in the mean field regime, where particles experience many weak collisions. For fermions, the mean field regime is naturally linked with a…

Mathematical Physics · Physics 2014-05-01 Niels Benedikter , Marcello Porta , Benjamin Schlein

An analysis of nuclear properties based on a relativistic energy functional containing Dirac nucleons and classical scalar and vector meson fields is discussed. Density functional theory implies that this energy functional can include…

Nuclear Theory · Physics 2009-07-09 R. J. Furnstahl , Brian D. Serot , Hua-Bin Tang

The microscopic origin of the spin-orbit (SO) potential in terms of sub-baryonic degrees of freedom is explored and discussed for application to nuclei and hyper-nuclei. We thus develop a chiral relativistic approach where the coupling to…

Nuclear Theory · Physics 2020-08-28 Guy Chanfray , Jérôme Margueron

In this paper, we prove a quantitative version of the semiclassical limit from the Hartree to the Vlasov equation with singular interaction, including the Coulomb potential. To reach this objective, we also prove the propagation of velocity…

Analysis of PDEs · Mathematics 2020-01-22 Laurent Lafleche

A method for determining asymptotic normalization coefficients for removing nucleons from nuclei is proposed. It is based on the use of the dispersive optical model potential. Within the method, the strength parameter of the Hartree- Fock…

Nuclear Theory · Physics 2025-06-25 O. V. Bespalova , L. D. Blokhintsev , A. A. Klimochkina , D. A. Savin

We discuss the performance of two widely used nuclear mean-field models, the relativistic mean-field theory (RMF) and the non-relativistic Skyrme-Hartree-Fock approach (SHF), with particular emphasis on the description of superheavy…

Nuclear Theory · Physics 2007-05-23 P. -G. Reinhard , M. Bender , J. A. Maruhn

We use the canonical Hartree-Fock-Bogoliubov basis to implement a completely self-consistent quasiparticle-random-phase approximation with arbitrary Skyrme energy density functionals and density-dependent pairing functionals. The point of…

Nuclear Theory · Physics 2011-07-18 J. Terasaki , J. Engel , M. Bender , J. Dobaczewski , W. Nazarewicz , M. Stoitsov

We compute from chiral two- and three-body forces the complete quasiparticle interaction in symmetric nuclear matter up to twice nuclear matter saturation density. Second-order perturbative contributions that account for Pauli-blocking and…

Nuclear Theory · Physics 2018-05-30 J. W. Holt , N. Kaiser , T. R. Whitehead

The series expansion formulae are established for the one- and two-center charge densities over complete orthonormal sets of exponential type orbitals introduced by the author. Three-center overlap integrals of appearing in these relations…

Chemical Physics · Physics 2009-02-04 I. I. Guseinov

We study the extrapolation of nuclear shell structure to the region of superheavy nuclei in self-consistent mean-field models -- the Skyrme-Hartree-Fock approach and the relativistic mean-field model -- using a large number of…

Nuclear Theory · Physics 2009-10-31 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn , W. Greiner

While ab initio many-body techniques have been able to successfully describe the properties of light and intermediate mass nuclei based on chiral effective field theory interactions, neutron-rich nuclei still remain out of reach for these…

Nuclear Theory · Physics 2020-01-08 R. Navarro Pérez , N. Schunck

The recently developed nuclear effective interaction based on the so-called N3LO Skyrme pseudopotential is extended to include the hyperon-nucleon and hyperon-hyperon interactions by assuming the similar density, momentum, and isospin…

Nuclear Theory · Physics 2025-04-24 Jun-Ting Ye , Rui Wang , Si-Pei Wang , Lie-Wen Chen