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We derive and implement symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations and apply them to the molecular electronic structure problem. All symmetries (particle number, spin, spatial, and complex conjugation) are deliberately…

Strongly Correlated Electrons · Physics 2012-02-15 Gustavo E. Scuseria , Carlos A. Jimenez-Hoyos , Thomas M. Henderson , Kousik Samanta , Jason K. Ellis

Selfconsistent Hartree-Fock-Bogoliubov (HFB) calculations have been performed with the Gogny force for nuclei along several constant Z and constant N chains, with the purpose of extracting the macroscopic part of the binding energy using…

Nuclear Theory · Physics 2009-11-07 M. Kleban , B. Nerlo-Pomorska , J. F. Berger , J. Dechargé , M. Girod , S. Hilaire

Fusion dynamics and the onset of quasi-fission in reactions, leading to production of superheavy nuclei are investigated using the constrained molecular dynamics model. Constraints on the parameters of the nuclear equation of state are…

Nuclear Theory · Physics 2020-01-08 J. Klimo , M. Veselsky , G. A. Souliotis , A. Bonasera

The mean-field properties of finite-temperature Bose-Einstein gases confined in spherically symmetric harmonic traps are surveyed numerically. The solutions of the Gross-Pitaevskii (GP) and Hartree-Fock-Bogoliubov (HFB) equations for the…

Statistical Mechanics · Physics 2009-10-31 T. Bergeman , D. L. Feder , N. L. Balazs , B. I. Schneider

We utilize the axially deformed relativistic Hartree-Fock-Bogoliubov (D-RHFB) model to describe the structure of neutron-rich carbon isotopes, taking into account the continuum, pairing correlations, tensor force and their interplay. In…

Nuclear Theory · Physics 2024-12-13 Jia-Lin An , Qi Lu , Wen Hui Long , Shi-Sheng Zhang

For light and medium mass systems the capture cross-section may be considered to be the same as that for complete fusion, whereas for heavy systems leading to superheavy formations the evaporation residue cross-section is dramatically…

Nuclear Theory · Physics 2016-05-12 A. S. Umar , V. E. Oberacker , C. Simenel

Synthesizing superheavy elements (SHEs) like $Z=119$ is severely hindered by the dominant quasifission (QF) channel, which prevents compound nucleus formation. Understanding QF dynamics is thus essential for future experiments. We…

Nuclear Theory · Physics 2026-03-10 Liang Li , Lu Guo

Based on the relativistic Hartree-Bogoliubov theory, the influence of the pairing interaction strength on the di-neutron correlations and the crossover from superfluidity of neutron Cooper pairs in the $^{1}S_{0}$ channel to Bose-Einstein…

Nuclear Theory · Physics 2012-07-05 Ting Ting Sun , Bao Yuan Sun , Jie Meng

The class of semi-hard reactions represents a promising venue where to enhance our knowledge of strong interactions and deepen the aspects related to this theory in kinematical regimes so far unexplored. In particular, the high energies…

High Energy Physics - Phenomenology · Physics 2021-09-08 Andrèe Dafne Bolognino

We formulate a microscopic theory of the decay of a compound nucleus through fission which generalizes earlier microscopic approaches of fission dynamics performed in the framework of the adiabatic hypothesis. It is based on the constrained…

Nuclear Theory · Physics 2010-02-17 K. Dietrich , J. -J. Niez , J. -F. Berger

Experiments with ultracold Bose gases can already produce so strong atom--atom interactions that one can observe intriguing many-body dynamics between the Bose-Einstein condensate (BEC) and the normal component. The excitation picture is…

Quantum Gases · Physics 2015-07-08 M. Kira

In this study the empirical method \cite{RN464} is used for calculating the evaporation residue (ER) cross section in the synthesis of superheavy nuclei (SHN). The superheavy nuclei examined in this work fall within the range $Z=112-118$.…

Nuclear Theory · Physics 2025-04-08 R. Zargini , S. A. Seyyedi

Using the Hartree-Fock-Bogoliubov (HFB) self-consistent mean-field theory with the SkM* Skyrme energy-density functional, we study nuclear structure properties of even-even superheavy nuclei (SHN) of $Z=120$ isotopes and $N=184$ isotones.…

Nuclear Theory · Physics 2018-09-21 A. Kosior , A. Staszczak , Cheuk-Yin Wong

Background: The relativistic Hartree-Fock-Bogoliubov (RHFB) theory has recently been developed and it provides a unified and highly predictive description of both nuclear mean field and pairing correlations. Ground state properties of…

Nuclear Theory · Physics 2015-12-16 Jia Jie Li , Jérôme Margueron , Wen Hui Long , Nguyen Van Giai

We analyze the reaction dynamics of central Pb+Pb collisions at 160 GeV/nucleon. First we estimate the energy density pile-up at mid-rapidity and calculate its excitation function: The energy density is decomposed into hadronic and partonic…

Nuclear Theory · Physics 2015-06-26 S. A. Bass , H. Weber , C. Ernst , M. Bleicher , M. Belkacem , L. Bravina , S. Soff , H. Stoecker , W. Greiner , C. Spieles

We test a non equilibrium approach to study the behavior of a Bose-Fermi mixture of alkali atoms in the presence of a Feshbach resonance between bosons and fermions. To this end we derive the Hartree-Fock-Bogoliubov (HFB) equations of…

Statistical Mechanics · Physics 2016-08-31 Daniele C. E. Bortolotti , Alexandr V. Avdeenkov , Christopher Ticknor , John L. Bohn

Quantum shell effects drive many aspects of many-body quantal systems and their interactions. Among these are the quasifission reactions that impede the formation of a compound nucleus in superheavy element (SHE) searches. Fragment…

Nuclear Theory · Physics 2022-09-14 Liang Li , Lu Guo , K. Godbey , A. S. Umar

We apply the ab initio no-core shell model/resonating group method approach to calculate the cross sections of the 3H(d,n)4He and 3He(d,p)4He fusion reactions. These are important reactions for the Big Bang nucleosynthesis and the future of…

Nuclear Theory · Physics 2013-05-30 Petr Navratil , Sofia Quaglioni

A new model that includes the time-dependent dynamics of the single-particle (s.p.) motion in conjunction with the macroscopic evolution of the system is proposed for describing the compound nucleus (CN) formation in fusion of heavy nuclei.…

Nuclear Theory · Physics 2009-11-10 Alexis Diaz-Torres

Time-dependent Hartree--Fock (TDHF) method has been applied to various low-energy nuclear reactions, such as fusion, fission, and multinucleon transfer reactions. In this Mini Review, we summarize recent attempts to bridge a microscopic…

Nuclear Theory · Physics 2020-03-16 Kouhei Washiyama , Kazuyuki Sekizawa
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