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Recent progress in the applications of covariant density functional theory (CDFT) to the description of the spectroscopy of the heaviest nuclei is reviewed. The analysis of quasiparticle spectra in actinides and the heaviest A ~ 250 nuclei…

Nuclear Theory · Physics 2011-09-30 A. V. Afanasjev , H. Abusara , E. Litvinova , P. Ring

Ground state energies and decay widths of particle unstable nuclei are calculated within the Hartree-Fock approximation by performing a complex scaling of the many-body Hamiltonian. Through this transformation, the wave functions of the…

Nuclear Theory · Physics 2009-01-23 A. T. Kruppa , P. -H. Heenen , H. Flocard , R. J. Liotta

We present a purely numerical approach in Cartesian grid, for efficient computation of Hartree-Fock (HF) exchange contribution in the HF and density functional theory models. This takes inspiration from a recently developed algorithm [Liu…

Chemical Physics · Physics 2019-04-05 Abhisek Ghosal , Tanmay Mandal , Amlan K. Roy

We perform particle-number projected mean-field study using the recently developed symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations. Realistic calculations have been performed in sd- and fp-shell nuclei using the shell model…

Nuclear Theory · Physics 2015-05-20 I. Maqbool , J. A. Sheikh , P. A. Ganai , P. Ring

Providing reliable data on the properties of atomic nuclei and infinite nuclear matter to astrophysical applications remains extremely challenging, especially when treating both properties coherently within the same framework. Methods based…

We investigate the order-by-order convergence behavior of many-body perturbation theory (MBPT) as a simple and efficient tool to approximate the ground-state energy of closed-shell nuclei. To address the convergence properties directly, we…

Nuclear Theory · Physics 2016-04-20 Alexander Tichai , Joachim Langhammer , Sven Binder , Robert Roth

The aim of this work is to develop the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) theory based on the point-coupling density functionals and extend it to provide a unified description for all even-even nuclei in…

We adapt the generalized Hartree-Fock-Bogoliubov (HFB) method to an interacting many-phonon system free of impurities. The many-phonon system is obtained from applying the Lee-Low-Pine (LLP) transformation to the Frohlich model which…

Quantum Gases · Physics 2016-11-08 Ben Kain , Hong Y. Ling

Superdeformed configurations in 32S, and in neighboring nuclei 33S, 31S, 33Cl, and 31P, are determined within the Hartree-Fock approach with the Skyrme interaction. Energies, angular momenta, quadrupole moments, particle-emission Q-values,…

Nuclear Theory · Physics 2009-10-31 H. Molique , J. Dobaczewski , J. Dudek

We present BSkG3, the latest entry in the Brussels-Skyrme-on-a-grid series of large-scale models of nuclear structure based on an energy density functional. Compared to its predecessors, the new model offers a more realistic description of…

Nuclear Theory · Physics 2023-10-09 Guilherme Grams , Wouter Ryssens , Guillaume Scamps , Stephane Goriely , Nicolas Chamel

We present the implementation of a variational finite element solver in the HelFEM program for benchmark calculations on diatomic systems. A basis set of the form $\chi_{nlm}(\mu,\nu,\phi)=B_{n}(\mu)Y_{l}^{m}(\nu,\phi)$ is used, where…

Chemical Physics · Physics 2019-08-19 Susi Lehtola

Several models of level densities exist and they often make simplified assumptions regarding the overall behavior of the total level densities (LD) and the intrinsic spin and parity distributions of the excited states. Normally, such LD…

Nuclear Theory · Physics 2021-06-02 G. P. A. Nobre , D. A. Brown , M. W. Herman

The neutron pair correlation in nuclei near the neutron drip-line is investigated using the selfconsistent continuum Skyrme-Hartree-Fock-Bogoliubov theory formulated with the coordinate-space Green's function technique. Numerical analysis…

Nuclear Theory · Physics 2011-05-13 Ying Zhang , Masayuki Matsuo , Jie Meng

We prove the existence of minimizers for Hartree-Fock-Bogoliubov (HFB) energy functionals with attractive two-body interactions given by Newtonian gravity. This class of HFB functionals serves as model problem for self-gravitating…

Analysis of PDEs · Mathematics 2019-12-19 Enno Lenzmann , Mathieu Lewin

We present a study of fusion cross sections using a new generation Time-Dependent Hartree-Fock (TDHF) code which contains no approximations regarding collision geometry and uses the full Skyrme interaction, including all of the time-odd…

Nuclear Theory · Physics 2009-11-11 A. S. Umar , V. E. Oberacker

A fully discrete implicit scheme is proposed for the Swift-Hohenberg model, combining the third-order backward differentiation formula (BDF3) for the time discretization and the second-order finite difference scheme for the space…

Numerical Analysis · Mathematics 2023-03-07 Xuan Zhao , Ran Yang , Zhongqin Xue , Hong Sun

A method has been developed to solve three-particle Faddeev equations in the configuration space making use of a series expansion in hyperspherical harmonics. The following parameters of the bound state of triton and helium-3 nuclei have…

Nuclear Theory · Physics 2016-03-22 V. I. Kovalchuk

In the light of recent experimental developments, increasing attention is devoted to nuclear phenomena related to rotational excitations of exotic intrinsic nuclear configurations that often lack symmetries present in the majority of…

Nuclear Theory · Physics 2016-12-06 W. Ryssens , P. -H. Heenen , M. Bender

A numerical method to integrate the time-dependent Hartree-Fock Bogoliubov (TDHFB) equations with Gogny interaction is proposed. The feasibility of the TDHFB code is illustrated by the conservation of the energy, particle numbers, and…

Nuclear Theory · Physics 2015-06-04 Yukio Hashimoto

A variety of phases in the inner crust of neutron stars are crucial for understanding the pulsar phenomena. However, the three-dimensional coordinate-space calculation of the phases is computationally demanding. We aim to generalize the…

Nuclear Theory · Physics 2025-07-14 Chengpeng Yu , Takashi Nakatsukasa
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