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Using the $\hbar$-expansion of the Green's function of the Hartree-Fock-Bogoliubov equation, we extend the second-order Thomas-Fermi approximation to generalized superfluid Fermi systems by including the density-dependent effective mass and…

Nuclear Theory · Physics 2016-01-29 J. C. Pei , Na Fei , Y. N. Zhang , P. Schuck

The prospects of extracting new physics signals in coherent elastic neutrino--nucleus scattering (CE$\nu$NS) processes are limited by the precision with which the underlying nuclear structure physics, embedded in the weak nuclear form…

Nuclear Theory · Physics 2023-04-27 N. Van Dessel , V. Pandey , H. Ray , N. Jachowicz

The neutron-proton Fermi-energy difference and the correlation to nucleon separation energies for some magic nuclei are investigated with the Skyrme energy density functionals and nuclear masses, with which the nuclear symmetry energy at…

Nuclear Theory · Physics 2013-03-28 Ning Wang , Li Ou , Min Liu

By using the scaling method and the Thomas-Fermi and Extended Thomas-Fermi approaches to Relativistic Mean Field Theory the surface contribution to the leptodermous expansion of the finite nuclei incompressibility has been self-consistently…

Nuclear Theory · Physics 2010-12-23 S. K. Patra , M. Centelles , X. Vinas , M. Del Estal

Using the density-dependent Hartree-Fock approximation and Skyrme forces together with the scaling method and constrained Hartree-Fock calculations, we obtain the average energies of the isoscalar giant monopole resonance. The calculations…

Nuclear Theory · Physics 2010-12-23 M. Centelles , X. Vinas , S. K. Patra , J. N. De , Tapas Sil

We report neutron star predictions based on our most recent equations of state. These are derived from chiral effective field theory, which allows for a systematic development of nuclear forces, order by order. We utilize high-quality…

Nuclear Theory · Physics 2022-03-01 Francesca Sammarruca , Randy Millerson

We present a general discussion of the mean field dynamics of finite nuclei prepared under extreme conditions of temperature and pressure. We compare the prediction of semi-classical approximation with complete quantum simulations. Many…

Nuclear Theory · Physics 2009-10-31 D. Lacroix , Ph. Chomaz

A new relativistic Hartree-Fock approach with density-dependent $\sigma$, $\omega$, $\rho$ and $\pi$ meson-nucleon couplings for finite nuclei and nuclear matter is presented. Good description for finite nuclei and nuclear matter is…

Nuclear Theory · Physics 2009-11-11 WenHui Long , Nguyen Van Giai , Jie Meng

Explaining observed properties in terms of underlying shape degrees of freedom is a well--established prism with which to understand atomic nuclei. Self--consistent mean--field models provide one tool to understand nuclear shapes, and their…

Nuclear Theory · Physics 2015-12-01 P. D. Stevenson , P. M. Goddard , A. Rios

A linked cluster expansion suitable for the treatment of ground-state properties of complex nuclei, as well as of various particle-nucleus scattering processes, has been used to calculate the ground-state energy, density and momentum…

Nuclear Theory · Physics 2009-11-11 M. Alvioli , C. Ciofi degli Atti , H. Morita

Level density $\rho$ is derived for a finite system with strongly interacting nucleons at a given energy E, neutron N and proton Z particle numbers, projection of the angular momentum M, and other integrals of motion, within the…

Nuclear Theory · Physics 2023-08-22 A. G. Magner , A. I. Sanzhur , S. N. Fedotkin , A. I. Levon , U. V. Grygoriev , S. Shlomo

A method for beyond-mean-field calculations based on an energy density functional is described. The main idea is to map the energy surface for the nuclear quadrupole deformation, obtained from an energy density functional at the mean-field…

Nuclear Theory · Physics 2022-12-16 J. Ljungberg , J. Boström , B. G. Carlsson , A. Idini , J. Rotureau

Pairing correlations in symmetric nuclear matter are studied within a relativistic mean-field approximation based on a field theory of nucleons coupled to neutral ($\sigma$ and $\omega$) and to charged ($\varrho$) mesons. The Hartree-Fock…

Nuclear Theory · Physics 2016-09-08 F. Matera , G. Fabbri , A. Dellafiore

We consider two-dimensional (2D) "artificial atoms" confined by an axially symmetric potential $V(\rho)$. Such configurations arise in circular quantum dots and other systems effectively restricted to a 2D layer. Using the semiclassical…

Mesoscale and Nanoscale Physics · Physics 2014-07-28 Yu. N. Ovchinnikov , Avik Halder , Vitaly V. Kresin

Based on the basic definition of Fermi energy of degenerate and relativistic electrons, we obtain a special solution to electron Fermi energy, $E_{\rm F}(e)$, and express $E_{\rm F}(e)$ as a function of electron fraction, $Y_{e}$, and…

High Energy Astrophysical Phenomena · Physics 2016-03-09 Xing Hu Li , Zhi Fu Gao , Xiang Dong Li , Yan Xu , Pei Wang , Na Wang , Jianping Yuan

Using the two-loop approximation of chiral perturbation theory, we calculate the momentum and density dependent single particle potential of nucleons in isospin-symmetric nuclear matter. The contributions from one- and two-pion exchange…

Nuclear Theory · Physics 2009-11-07 N. Kaiser S. Fritsch , W. Weise

A semiclassical approximation is derived by using a family of wavepackets to map arbitrary wavefunctions into phase space. If the Hamiltonian can be approximated as linear over each individual wavepacket, as often done when presenting…

Quantum Physics · Physics 2024-04-30 Clay D. Spence

We seek to obtain a usable form of the nuclear energy density functional that is rooted in the modern theory of nuclear forces. We thus consider a functional obtained from the density matrix expansion of local nuclear potentials from chiral…

Nuclear Theory · Physics 2018-05-23 R. Navarro Perez , N. Schunck , A. Dyhdalo , R. J. Furnstahl , S. K. Bogner

We obtained a density-dependent analytical expression of binding energy per nucleon for different neutron-proton asymmetry of the nuclear matter (NM) with a polynomial fitting, which manifests the results of effective field theory motivated…

Nuclear Theory · Physics 2021-02-03 Ankit Kumar , H. C. Das , Manpreet Kaur , M. Bhuyan , S. K. Patra

The semiclassical $\hbar$-expansion of the one-particle density matrix for a two-dimensional Fermi gas is calculated within the Wigner transform method of Grammaticos and Voros, originally developed in the context of nuclear physics. The…

Quantum Gases · Physics 2016-08-24 K. Bencheikh , B. P. van Zyl , K. Berkane