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Background: For nuclei heavier than $^{208}$Pb $\alpha$ decay is a dominating decay mode, and in the search of new superheavy elements one often observes chains of $\alpha$ decays. Purpose: Explore and test microscopic descriptions of…

Nuclear Theory · Physics 2014-02-11 D. E. Ward , B. G. Carlsson , S. Åberg

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

Ground state Hartree-Fock-Bogoliubov (HFB) theory is applied to imbalanced spin-1/2 one-dimensional Fermi systems that are spatially confined by either a harmonic or a hard-wall trapping potential. It has been hoped that such systems, which…

Quantum Gases · Physics 2020-07-01 Kelly R. Patton , Daniel E. Sheehy

Collective mass tensors derived in the cranking approximation to the adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) method are employed in a study of induced fission dynamics. Together with a collective potential determined in…

Nuclear Theory · Physics 2020-07-01 Jie Zhao , Tamara Nikšić , Dario Vretenar , Shan-Gui Zhou

The ab-initio many-body method suggested in the preceding paper is applied to the 3d transition metals Fe, Co, Ni, and Cu. We use a linearized muffin-tin orbital calculation to determine Bloch functions for the Hartree one-particle…

Condensed Matter · Physics 2007-05-23 I. Schnell , G. Czycholl , R. C. Albers

The Relativistic Hartree-Bogoliubov model is applied in the analysis of ground-state properties of Be, B, C, N, F, Ne and Na isotopes. The model uses the NL3 effective interaction in the mean-field Lagrangian, and describes pairing…

Nuclear Theory · Physics 2007-05-23 G. A. Lalazissis , D. Vretenar , P. Ring

With the self-consistent three-dimensional cranked Hartree-Fock-Bogoliubov (3d-cranked HFB) method, various types of rotational motion near the yrast line are investigated in an even-even nucleus in the $A\simeq 130$ mass region…

Nuclear Theory · Physics 2015-06-26 Makito Oi , Philip M. Walker

We present a method to calculate spectroscopic properties of odd-odd nuclei within the framework of the Interacting Boson-Fermion-Fermion Model based on the Gogny energy density functional. The $(\beta,\gamma)$-deformation energy surface of…

Nuclear Theory · Physics 2019-03-13 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

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

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

We describe a method of solving the nuclear Skyrme-Hartree-Fock problem by using a deformed Cartesian harmonic oscillator basis. The complete list of expressions required to calculate local densities, total energy, and self-consistent…

Nuclear Theory · Physics 2009-10-30 J. Dobaczewski , J. Dudek

Staring from the Lagrangian density that foots on the meson-propagated picture of nuclear force, the full Hamiltonian, that contains both mean field and pairing contributions, is derived by quantizing the Dirac spinor field in the…

Nuclear Theory · Physics 2022-04-06 Jing Geng , Wen Hui Long

The two recent density-dependent versions of the finite-range M3Y interaction (CDM3Y$n$ and M3Y-P$n$) have been probed against the bulk properties of asymmetric nuclear matter (NM) in the nonrelativistic Hartree Fock (HF) formalism. The…

Nuclear Theory · Physics 2010-05-07 Hoang Sy Than , Dao T. Khoa , Nguyen Van Giai

Hartree Fock equations for finite range interactions in a slab of nuclear matter are presented and solved using an algorithm based on the Lagrange mesh method. This approach is faster and more efficient than the Numerov algorithm commonly…

Nuclear Theory · Physics 2025-11-13 Dany Davesne , Alessandro Pastore , Jesus Navarro

We critically examine the Hartree-Fock-Bogoliubov (HFB) solution of the equations of motion for condensate fluctuations in a weakly coupled plasma of charged bosons at finite temperature. Analytic expressions are derived for the first two…

Statistical Mechanics · Physics 2009-11-07 B. Davoudi , A. Minguzzi , M. P. Tosi

The cranked relativistic Hartree+Bogoliubov theory has been applied for a systematic study of the nuclei around 254No, the heaviest elements for which detailed spectroscopic data are available. The deformation, rotational response, pairing…

Nuclear Theory · Physics 2009-11-10 A. V. Afanasjev , T. L. Khoo , S. Frauendorf , G. A. Lalazissis , I. Ahmad

The nuclear structure of even-even and odd lead isotopes (178-236 Pb) is investigated within the Hartree-Fock-Bogoliubov theory. Calculations are performed for a wide range of neutron numbers, starting from the proton-rich side up to the…

Nuclear Theory · Physics 2018-01-10 Younes El Bassem , Mustapha Oulne

In this article, we use quasifree reduction to derive the time-dependent Hartree-Fock-Bogoliubov (HFB) equations describing the dynamics of quantum fluctuations around a Bose-Einstein condensate in $\mathbb R^d$. We prove global…

Mathematical Physics · Physics 2018-05-15 Volker Bach , Sébastien Breteaux , Thomas Chen , Jürg Fröhlich , Israel Michael Sigal

VBFNLO is a fully flexible parton level Monte Carlo program for the simulation of vector boson fusion, double and triple vector boson production in hadronic collisions at next-to-leading order in the strong coupling constant. VBFNLO…

High Energy Physics - Phenomenology · Physics 2009-08-25 K. Arnold , M. Bahr , G. Bozzi , F. Campanario , C. Englert , T. Figy , N. Greiner , C. Hackstein , V. Hankele , B. Jager , G. Klamke , M. Kubocz , C. Oleari , S. Platzer , S. Prestel , M. Worek , D. Zeppenfeld

The finite-temperature Hartree-Fock-Bogoliubov (HFB) approximation often breaks symmetries of the underlying many-body Hamiltonian. Restricting the calculation of the HFB partition function to a subspace with good quantum numbers through…

Nuclear Theory · Physics 2018-01-23 P. Fanto
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