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The self-consistent theory of the correlation effects in Highly Correlated Systems(HCS) is presented. The novel Irreducible Green's Functions(IGF) method is discused in detail for the Hubbard model and random Hubbard model. The…

Strongly Correlated Electrons · Physics 2008-02-03 A. L. Kuzemsky

A collective spin model is used to describe two species of mutually interacting ultracold bosonic atoms confined to a toroidal trap. The system is modeled by a Hamiltonian that can be split into two components, a linear part and a quadratic…

Quantum Gases · Physics 2024-06-05 Allison Brattley , Tomáš Opatrný , Kunal K. Das

The exchange part of energy density of the linear Dirac--Hartree--Fock (DHF) model in symmetric nuclear matter is evaluated in a parameter--free closed form and expressed as density functional. After the rearranging terms the relativistic…

Nuclear Theory · Physics 2021-04-27 S. Gmuca , K. Petrik , J. Leja

Hartree-Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization…

Mathematical Physics · Physics 2020-06-01 Niels Benedikter

We construct phenomenologically a relativistic particle-particle channel interaction which suits the gap equation for nuclear matter. This is done by introducing a density-independent momentum-cutoff parameter to the relativistic mean field…

Nuclear Theory · Physics 2009-10-31 Masayuki Matsuzaki , Tomonori Tanigawa

Pairing correlations are ubiquitous in low-energy states of atomic nuclei. To incorporate them within nuclear density functional theory, often used for global computations of nuclear properties, pairing functionals that generate nucleonic…

Nuclear Theory · Physics 2026-05-22 Sudhanva Lalit , Paul-Gerhard Reinhard , Kyle Godbey , Witold Nazarewicz

The isospin-dependent component of the effective nucleon-nucleon interaction that causes the $\Delta T=1$ (p, p') and (p, n) reactions off nuclei is studied. It is shown that the corrections to the impulse approximation comes from the…

Nuclear Theory · Physics 2008-11-26 Taksu Cheon , Kazuo Takayanagi

We develop a model of a binary fermionic mixture, consisting of large number of atoms, applicable at nonzero temperatures, in the normal phase. We use this approach to study dynamics of degenerate Fermi systems under various perturbations.…

Quantum Gases · Physics 2022-02-15 Jarosław Ryszkiewicz , Mirosław Brewczyk , Tomasz Karpiuk

The nuclear density functional framework, based on chiral dynamics and the symmetry breaking pattern of low-energy QCD, is extended to the description of collective nuclear excitations. Starting from the relativistic point-coupling…

Nuclear Theory · Physics 2008-11-26 P. Finelli , N. Kaiser , D. Vretenar , W. Weise

The convolution approach, widely employed to describe final state interactions in the response of many-body systems, is derived from the expression of the nuclear response in the zeroth-order ladder approximation. Within this framework, the…

Nuclear Theory · Physics 2015-06-12 Omar Benhar

The matrix equations of the relativistic random-phase approximation (RRPA) are derived for an effective Lagrangian characterized by density-dependent meson-nucleon vertex functions. The explicit density dependence of the meson-nucleon…

Nuclear Theory · Physics 2009-11-07 T. Niksic , D. Vretenar , P. Ring

We calculate all spin-transfer observables for the quasielastic $(\vec{p},\vec{n})$ reaction in a relativistic plane-wave impulse approximation. The nuclear-structure information is contained in a large set of nuclear-response functions…

Nuclear Theory · Physics 2009-09-25 C. J. Horowitz , J. Piekarewicz

We discuss equilibration times and isospin effect for various quantities in low-energy heavy-ion reactions. These include equilibration of mass, isospin, and total kinetic energy (TKE) in quasifission and deep-inelastic reactions. The…

Nuclear Theory · Physics 2019-04-15 A. S. Umar , C. Simenel , K. Godbey

We present the reaction-coordinate polaron-transform (RCPT) framework for generating effective Hamiltonian models to treat nonequilibrium open quantum systems at strong coupling with their surroundings. Our approach, which is based on two…

Quantum Physics · Physics 2022-11-11 Nicholas Anto-Sztrikacs , Ahsan Nazir , Dvira Segal

The self-consistent quasiparticle random-phase approximation (QRPA) approach is formulated in the canonical single-nucleon basis of the relativistic Hatree-Fock-Bogoliubov (RHFB) theory. This approach is applied to study the isobaric analog…

Nuclear Theory · Physics 2017-04-12 Z. M. Niu , Y. F. Niu , H. Z. Liang , W. H. Long , J. Meng

The influence of short-range correlations on the momentum and energy distribution of nucleons in nuclei is evaluated assuming a realistic meson-exchange potential for the nucleon-nucleon interaction. Using the Green-function approach the…

Nuclear Theory · Physics 2009-10-28 H. Müther , A. Polls , W. H. Dickhoff

Model Hamiltonians with long-range interaction yield energies that are corrected taking into account the universal behavior of the electron-electron interaction at short range. Although the intention of the paper is to explore the…

Chemical Physics · Physics 2020-10-28 Andreas Savin

The effect of nearest-neighbor coupling on the thermodynamic and dynamical properties of the ferromagnetic Hamiltonian Mean Field model (HMF) is studied. For a range of antiferromagnetic nearest-neighbor coupling, a canonical first order…

Statistical Mechanics · Physics 2009-11-11 Alessandro Campa , Andrea Giansanti , David Mukamel , Stefano Ruffo

To study shape fluctuations of nuclei in transitional regions, the collective Hamiltonian method has often been employed. We intend to construct the quadrupole collective Hamiltonian with the collective inertial functions given by the local…

Nuclear Theory · Physics 2019-01-30 Kouhei Washiyama , Takashi Nakatsukasa

Thermal properties of asymmetric nuclear matter, including the temperature dependence of the symmetry energy, single-particle properties, and differential isospin fractionation, are investigated with different neutron-proton effective mass…

Nuclear Theory · Physics 2015-01-23 Jun Xu , Lie-Wen Chen , Bao-An Li