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The energy- and density-dependent single-particle potential for nucleons is constructed in a medium of infinite isospin-symmetric nuclear matter starting from realistic nuclear interactions derived within the framework of chiral effective…

Nuclear Theory · Physics 2014-10-24 J. W. Holt , N. Kaiser , G. A. Miller , W. Weise

Nuclear surface diffuseness reflects spectroscopic information near the Fermi level. I propose a way to decompose the surface diffuseness into single-particle (s.p.) contributions in a quantitative way. Systematic behavior of the surface…

Nuclear Theory · Physics 2021-10-12 Wataru Horiuchi

We developed a new self-adjoint, consistent, and stable coupling strategy for nonlocal diffusion models, inspired by the quasinonlocal atomistic-to-continuum method for crystalline solids. The proposed coupling model is coercive with…

Numerical Analysis · Mathematics 2017-02-07 Xingjie Helen Li , Jianfeng Lu

We evaluate analytically some ground state properties of two-dimensional harmonically confined Fermi vapors with isotropy and for an arbitrary number of closed shells. We first derive a differential form of the virial theorem and an…

Statistical Mechanics · Physics 2009-11-07 A. Minguzzi , N. H. March , M. P. Tosi

We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correlation effects in electrolyte solutions. The formulation is…

Soft Condensed Matter · Physics 2017-03-27 Jinn-Liang Liu , Dexuan Xie , Bob Eisenberg

In Landau theory of Fermi liquids, the particle-hole interaction near the Fermi energy in different spin-isospin channels is probed in terms of an expansion over the Legendre polynomials. This provides a useful and efficient way to…

Nuclear Theory · Physics 2017-10-27 Andrea Idini , Karim Bennaceur , Jacek Dobaczewski

We focus on finding a coarse grained description able to reproduce the thermodynamic behavior of a molecular system by using mesoparticles representing several molecules. Interactions between mesoparticles are modelled by an interparticle…

Soft Condensed Matter · Physics 2015-06-17 Gerome Faure , Jean-Bernard Maillet , Gabriel Stoltz

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 ability of the Gogny forces of the D1 family to describe the nucleon-nucleus scattering is studied. To this end, we use an optical model potential built up using a semi-microscopic nuclear matter approach. The real and imaginary parts…

Nuclear Theory · Physics 2020-12-15 Juan Lopez-Moraña , Xavier Viñas

Time-varying optical materials have attracted recent interest for their potential to enable frequency conversion, nonreciprocal physics, photonic time-crystals, and more. However, the description of time-varying materials has been primarily…

We consider quantum nonlinear systems with dissipation described within the Caldeira-Leggett model, i.e., by a nonlocal action in the path integral for the density matrix. Approximate classical-like formulas are derived in order to evaluate…

Statistical Mechanics · Physics 2007-05-23 A. Cuccoli , A. Fubini , A. Rossi , V. Tognetti , R. Vaia

For some spatially nonlocal diffusion models with a finite range of nonlocal interactions measured by a positive parameter $\delta$, we review their formulation defined on a bounded domain subject to various conditions that correspond to…

Analysis of PDEs · Mathematics 2022-12-27 Qiang Du , Xiaochuan Tian , Zhi Zhou

A relativistic non-local model for the inclusive photoproduction of $\eta$ mesons from complex nuclei is introduced. The model is based on the dominance of the S$_{11}$(1535) resonance. We compare the results of our calculations with the…

Nuclear Theory · Physics 2008-11-26 M. Hedayati-Poor , H. S. Sherif

Nonlocal nucleon-nucleus optical potential with rotational quadrupole deformation enabling the excitation of the ${}^{24}\mathrm{Mg}(2^+)$ state is developed; it fits well the proton-${}^{24}\mathrm{Mg}$ elastic and inelastic differential…

Nuclear Theory · Physics 2023-06-21 A. Deltuva , D. Jurčiukonis

A nonlocal dispersive-optical-model analysis has been carried out for neutrons and protons in $^{208}$Pb. Elastic-scattering angular distributions, total and reaction cross sections, single-particle energies, the neutron and proton numbers,…

We derive ab initio optical potentials from self-consistent Green's function (SCGF) theory and compute the elastic scattering of neutrons off oxygen and calcium isotopes. The comparison with scattering data is satisfactory at low scattering…

Nuclear Theory · Physics 2019-09-04 A. Idini , C. Barbieri , P. Navrátil

A brief overview of various approaches to the optical-model description of nuclei is presented. A survey of some of the formal aspects is given which links the Feshbach formulation for either the hole or particle Green's function to the…

Nuclear Theory · Physics 2019-03-27 Willem H. Dickhoff , Robert J. Charity

The optical potential without any free parameters for $^7$Li-nucleus interaction system is studied in a microscopic approach. It is obtained by folding the microscopic optical potentials of the constituent nucleons of $^{7}$Li over their…

Nuclear Theory · Physics 2020-06-24 Wen-Di Chen , Hai-Rui Guo , Wei-Li Sun , Tao Ye , Yang-Jun Ying , Yin-Lu Han , Qing-Biao Shen

A consistent set of statistical-model input parameters, validated by analysis of various independent data, makes possible the assessment of an $\alpha$-particle optical model potential [Phys. Rev. C {\bf 90}, 044612 (2014)] also for…

Nuclear Theory · Physics 2020-09-04 Vlad Avrigeanu , Marilena Avrigeanu

The dispersive optical-model is applied to transfer reactions. A systematic study of $(d,p)$ reactions on closed-shell nuclei using the finite-range adiabatic reaction model is performed at several beam energies and results are compared to…

Nuclear Theory · Physics 2011-10-25 N. B. Nguyen , S. J. Waldecker , F. M. Nunes , R. J. Charity , W. H. Dickhoff