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We present updated predictions of effective elastic nucleon-nucleon cross sections intended for use in nucleus-nucleus reactions. A novel characteristic of the present approach combines all microscopic medium effects included in the…

Nuclear Theory · Physics 2015-06-15 B. Chen , F. Sammarruca , C. A. Bertulani

The Pauli exclusion principle plays an important role in many-body fermion systems preventing them from collapsing by repulsion. For example, the Pauli principle causes a repulsive potential at short distances between two $\alpha$…

Nuclear Theory · Physics 2016-04-25 Shigeo Ohkubo

We use the induced interaction of Babu and Brown to derive two novel relations between the quasiparticle interaction in nuclear matter and the unique low momentum nucleon-nucleon interaction V_low k in vacuum. These relations provide two…

Nuclear Theory · Physics 2009-11-07 A. Schwenk , G. E. Brown , B. Friman

Brueckner-Hartree-Fock theory allows to derive the $G$-matrix as an effective interaction between nucleons in the nuclear medium. It depends on the center of mass momentum $\bm{P}$ of the two particles and on the two relative momenta…

Nuclear Theory · Physics 2018-11-14 Hui Tong , Xiu-Lei Ren , Peter Ring , Shi-Hang Shen , Si-Bo Wang , Jie Meng

The nuclear symmetry energy $E_{sym}(\rho)$ and its density slope $L(\rho)$ can be decomposed analytically in terms of the single-nucleon potential in isospin asymmetric nuclear matter. Using three popular nuclear effective interaction…

Nuclear Theory · Physics 2012-03-27 Rong Chen , Bao-Jun Cai , Lie-Wen Chen , Bao-An Li , Xiao-Hua Li , Chang Xu

Four-component Dirac Hartree--Fock is an accurate mean-field method for treating molecular systems where relativistic effects are important. However, the computational cost and complexity of the two-electron interaction makes this method…

Chemical Physics · Physics 2021-06-08 Shichao Sun , Torin Stetina , Tianyuan Zhang , Hang Hu , Edward F. Valeev , Qiming Sun , Xiaosong Li

Neutron drops confined in an external field are studied in the framework of relativistic Brueckner-Hartree-Fock theory using the bare nucleon-nucleon interaction. The ground state energies and radii of neutron drops with even numbers from…

Nuclear Theory · Physics 2018-05-15 Shihang Shen , Haozhao Liang , Jie Meng , Peter Ring , Shuangquan Zhang

As nuclear wave functions have to obey the Pauli principle, potentials issued from reaction theory or Hartree-Fock formalism using finite-range interactions contain a non-local part. Written in coordinate space representation, the…

Nuclear Theory · Physics 2010-01-06 N. Michel

We present an extensive review of the two-dimensional finite difference Hartree--Fock (FD HF) method, and present its implementation in the newest version of X2DHF, the FD HF program for atoms and diatomic molecules. The program was…

Computational Physics · Physics 2025-03-12 Jacek Kobus , Susi Lehtola

Modern Brueckner-Hartree-Fock (BHF) calculations are very successful in describing various properties of symmetric and asymmetric nuclear matter. Within BHF theory a microscopic optical potential (MOP) for nucleon-nucleus scattering is…

Nuclear Theory · Physics 2026-02-24 Miao Qi , Li-Li Chen , Li-Gang Cao , Feng-Shou Zhang , Xin-Le Shang , Wei Zuo , U. Lombardo

The density-dependent relativistic Hartree-Fock (DDRHF) theory is extended to include $\Delta$-isobars for the study of dense nuclear matter and neutron stars. To this end, we solve the Rarita-Schwinger equation for spin-3/2 particle. Both…

Nuclear Theory · Physics 2016-11-09 Zhen-Yu Zhu , Ang Li , Jin-Niu Hu , Hiroyuki Sagawa

The crucial step in density-corrected Hartree-Fock density functional theory (DC(HF)-DFT) is to decide whether the density produced by the density functional for a specific calculation is erroneous and hence should be replaced by, in this…

Chemical Physics · Physics 2023-09-20 Daniel Graf , Alex J. W. Thom

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

Hartree-Fock atom in a strong electric static field is considered. It is demonstrated that exchange between outer and inner electrons, taken into account by the so-called Fock term affects strongly the long-range behavior of the inner…

Atomic Physics · Physics 2015-05-13 M. Ya. Amusia

Relativistic Brueckner-Hartree-Fock (RBHF) theory in the full Dirac space allows one to determine uniquely the momentum dependence of scalar and vector components of the single-particle potentials. In order to extend this new method from…

Nuclear Theory · Physics 2023-03-15 Hui Tong , Jing Gao , Chencan Wang , Sibo Wang

The understanding of the interaction of nucleons in nuclear and neutron-rich matter at non-zero temperature is important for a variety of applications ranging from heavy-ion collisions to nuclear astrophysics. In this papre we apply the…

Nuclear Theory · Physics 2014-11-21 Francesca Sammarruca

The density matrix expansion is used to derive a local energy density functional for finite range interactions with a realistic meson exchange structure. Exchange contributions are treated in a local momentum approximation. A generalized…

Nuclear Theory · Physics 2008-11-26 F. Hofmann , H. Lenske

Two different approximation schemes for the self-consistent solution of the relativistic Brueckner-Hartree-Fock equation for finite nuclei are discussed using realistic One-Boson-Exchange potentials. In a first scheme, the effects of…

Nuclear Theory · Physics 2009-10-22 R. Fritz , H. Müther

Examination of high-resolution, experimental fusion excitation functions for $^{16,17,18}$O + $^{12}$C reveals a remarkable irregular behavior that is rooted in the structure of both the colliding nuclei and the quasi-molecular composite…

Nuclear Theory · Physics 2023-09-28 R. T. deSouza , K. Godbey , S. Hudan , W. Nazarewicz

We present background concepts of the nuclear density functional theory (DFT) and applications of the time-dependent DFT with the Skyrme energy functional for nuclear response functions. Practical methods for numerical applications of the…

Nuclear Theory · Physics 2013-10-16 T. Nakatsukasa , S. Ebata , P. Avogadro , L. Guo , T. Inakura , K. Yoshida