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The self-consistent Thomas-Fermi approximation is an essential method for studying the non-uniform nuclear matter with relativistic mean-field theory. In this method, the nucleon distribution in the Wigner-Seitz cell is obtained…

Nuclear Theory · Physics 2015-12-15 Zhao-wen Zhang , Hong Shen

The relativistic mean field approach (RMF) is well known for describing accurately binding energies and nucleon distributions in atomic nuclei throughout the nuclear chart. The random phase approximation (RPA) built on top of the RMF is…

Nuclear Theory · Physics 2008-11-26 Nguyen Van Giai , Haozhao Liang , Jie Meng

This thesis focuses on a variety of active research topics, such as nuclear matter, neutron stars, and phase transition within the framework of the RMF model. We use the previously successful effective field theory-driven Relativistic Mean…

Nuclear Theory · Physics 2022-06-07 Ishfaq Ahmad Rather

The off-shell behavior of the nucleon self-energy in isospin asymmetric nuclear matter is investigated within the framework of relativistic Dirac-Brueckner-Hartree-Fock approach based on projection techniques. The dependence of the Dirac…

Nuclear Theory · Physics 2014-11-20 E. N. E. van Dalen , H. Müther

The nonrelativistic reduction of the self-consistent covariant density functional theory is realized for the first time with the similarity renormalization group (SRG) method. The reduced nonrelativistic Hamiltonian and densities are…

Nuclear Theory · Physics 2020-08-19 Z. X. Ren , P. W. Zhao

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

Neutrinos and their weak interactions play a vital role in the physics of core-collapse supernovae and binary neutron star mergers. Their description within astrophysical simulations, including the weak rates, is of pivotal importance not…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Kamil Sokołowski , Anil Kumar , Tobias Fischer

New developments have been brought to our energy-, spin- and parity-dependent nuclear level densities based on the microscopic combinatorial method. Our new calculation is based on the BSkG3 mean-field model which relies on a…

Nuclear Theory · Physics 2026-01-08 S. Goriely , W. Ryssens , S. Hilaire , A. J. Koning

We present a theoretical formulation for the description of nuclear excitations within the framework of relativistic random-phase approximation whereby the vacuum polarization arising from nucleon-antinucleon fields is duly accounted for.…

Nuclear Theory · Physics 2009-11-11 A. Haga , H. Toki , S. Tamenaga , Y. Horikawa , H. L. Yadav

We calculate the neutrino mean free path with non-Fermi liquid (NFL) corrections in quark matter from scattering and absorption processes for both degenerate and nondegenerate neutrinos. We show that the mean free path decreases due to the…

High Energy Physics - Phenomenology · Physics 2011-08-12 Kausik Pal , Abhee K. Dutt-Mazumder

The Born-Oppenheimer (BO) approximation is less accurate in the presence of a strong magnetic field than in the absence of a field. This is due to the complicated and unpredictable response of electronic structure to the field, especially…

Chemical Physics · Physics 2023-03-29 Tanner Culpitt , Laurens D. M. Peters , Erik I. Tellgren , Trygve Helgaker

The current generation of covariant mean-field models has had many successes in calculations of bulk observables for medium to heavy nuclei, but there remain many open questions. New challenges are confronted when trying to systematically…

Nuclear Theory · Physics 2017-01-25 R. J. Furnstahl

The structure of infinite nuclear matter is studied with two of the Zimanyi - Moszkowski (ZM) models in the framework of a relativistic approximation which takes into account Hartree terms and beyond and is compared with the results which…

Nuclear Theory · Physics 2009-09-25 A. Delfino , M. Malheiro , D. P. Menezes

The Lippmann-Schwinger equation for the nucleon-nucleon $t$-matrix as well as the corresponding Bethe-Goldstone equation to determine the Brueckner reaction matrix in nuclear matter are reformulated in terms of the resolvents for the total…

Nuclear Theory · Physics 2016-09-21 H. Müther , O. A. Rubtsova , V. I. Kukulin , V. N. Pomerantsev

The scattering of neutral particles by an atomic nucleus can lead to electronic ionisation and excitation through a process known as the Migdal effect. We revisit and improve upon previous calculations of the Migdal effect, using the…

High Energy Physics - Phenomenology · Physics 2023-03-01 Peter Cox , Matthew J. Dolan , Christopher McCabe , Harry M. Quiney

The properties of isospin-asymmetric nuclear matter have been investigated in the framework of the extended Brueckner-Hartree-Fock approximation at zero temperature. Self-consistent calculations using the Argonne $V_{14}$ interaction are…

Nuclear Theory · Physics 2009-11-07 W. Zuo , I. Bombaci , U. Lombardo

We show in the Skyrme-Hartree-Fock approach that unambiguous correlations exist between observables of finite nuclei and nuclear matter properties. Using this correlation analysis to existing data on the neutron skin thickness of Sn…

Nuclear Theory · Physics 2017-08-23 Lie-Wen Chen , Che Ming Ko , Jun Xu , Bao-An Li

This chapter concerns with the recent development of a new DFT methodology for accurate, reliable prediction of many-electron systems. Background, need for such a scheme, major difficulties encountered, as well as their potential remedies…

Chemical Physics · Physics 2019-04-19 Amlan K. Roy

The matrix elements of relativistic nucleon-nucleon $(NN)$ potentials are calculated directly from the nonrelativistic potentials as a function of relative $NN$ momentum vectors, without using a partial wave decomposition. To this aim, the…

Nuclear Theory · Physics 2021-09-08 M. R. Hadizadeh , M. Radin , F. Nazari

The mean free path of neutrino in charged and neutral current reactions is calculated for inhomogeneous nuclear matter which is expected to appear in the crust of neutron stars. The relevant cross section depends on Fermi and Gamow-Teller…

Nuclear Theory · Physics 2009-10-16 P. Grygorov , P. Gögelein , H. Müther