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A second-order many-body perturbation correction to the relativistic Dirac-Hartree-Fock energy is evaluated stochastically by integrating 13-dimensional products of four-component spinors and Coulomb potentials. The integration in the real…

量子物理 · 物理学 2022-06-16 J. César Cruz , Jorge Garza , Takeshi Yanai , So Hirata

A new method of calculating pairing correlations in coordinate space with finite range interactions is presented. In the Hartree-Fock-Bogoliubov (HFB) approach the mean field part is derived from a Skyrme-type force whereas the pairing…

核理论 · 物理学 2009-11-07 M. Grasso , N. Van Giai , N. Sandulescu

Using the Hartree-Fock-Bogoliubov (HFB) mean field theory in coordinate space, we investigate ground state properties of the sulfur isotopes from the line of stability up to the two-neutron dripline ($^{34-52}S$). In particular, we…

核理论 · 物理学 2009-11-10 V. E. Oberacker , A. S. Umar , E. Teran , A. Blazkiewicz

The numerical solution of the recently formulated number-projected Hartree-Fock-Bogoliubov equations is studied in an exactly soluble cranked-deformed shell model Hamiltonian. It is found that the solution of these number-projected…

核理论 · 物理学 2009-11-06 J. A. Sheikh , E. Lopes , P. Ring

A multi-configuration mixing approach built on essentially complex, symmetry-projected Hartree-Fock-Bogoliubov (HFB) mean fields is introduced. The mean fields are obtained by variation after projection. The configuration space consists out…

核理论 · 物理学 2009-10-28 E. Bender , K. W. Schmid , Amand~Faessler

The roles of static hexadecapole deformation and beyond-mean-field quadrupole-hexadecapole configuration mixing are studied for a selected set of Yb, Hf, W and Os isotopes within the mass range $170 \le A \le 202$, using the…

核理论 · 物理学 2025-08-08 R. Rodriguez-Guzman , L. M. Robledo

The two-dimensional Hubbard model on the square lattice is studied in the presence of lattice distortions in the adiabatic approximation. The self energy is computed within perturbation theory up to second order, which provides a way for…

强关联电子 · 物理学 2009-02-26 C. A. Lamas

We use a fully self-consistent Hartree$-$Fock (HF) based continuum random phase approximation (CRPA) to calculate strength functions $S(E)$ and transition densities $\rho_t(r)$ for isoscalar giant resonances with multipolarities $L = 0$, 1…

核理论 · 物理学 2009-11-07 B. K. Agrawal , S. Shlomo , A. I. Sanzhur

We present a framework of an auxiliary field quantum Monte Carlo (QMC) method for multi-orbital Hubbard models. Our formulation can be applied to a Hamiltonian which includes terms for on-site Coulomb interaction for both intra- and…

强关联电子 · 物理学 2009-10-30 Yukitoshi Motome , Masatoshi Imada

Cranked Relativistic Hartree-Bogoliubov (CRHB) theory is presented as an extension of Relativistic Mean Field theory with pairing correlations to the rotating frame. Pairing correlations are taken into account by a finite range two-body…

核理论 · 物理学 2009-10-31 A. V. Afanasjev , J. K"onig , P. Ring

The quadrupole collective Hamiltonian, based on relativistic energy density functionals, is extended to include a pairing collective coordinate. In addition to quadrupole shape vibrations and rotations, the model describes pairing…

核理论 · 物理学 2020-07-01 J. Xiang , Z. P. Li , T. Niksic , D. Vretenar , W. H. Long

Important features of low-frequency collective vibrational excitations in neutron drip line nuclei are studied. We emphasize that pairing anti-halo effect in the Hartree-Fock-Bogoliubov (HFB) theory play crucial roles to realize collective…

核理论 · 物理学 2015-06-26 Masayuki Yamagami

We describe the program HFBTHO for axially deformed configurational Hartree-Fock-Bogoliubov calculations with Skyrme-forces and zero-range pairing interaction using Harmonic-Oscillator and/or Transformed Harmonic-Oscillator states. The…

核理论 · 物理学 2009-11-10 M. V. Stoitsov , J. Dobaczewski , W. Nazarewicz , P. Ring

The time-dependent energy density functional with pairing allows to describe a large variety of phenomena from small to large amplitude collective motion. Here, we briefly summarize the recent progresses made in the field using the TD-BCS…

核理论 · 物理学 2015-10-01 Denis Lacroix , Yusuke Tanimura , Guillaume Scamps

Photoabsorption cross sections for 235 stable nuclei, ranging from $^{40}$Ca to $^{209}$Bi, were investigated by the quasiparticle finite amplitude method (QFAM) based on the axially deformed relativistic Hartree-Bogoliubov (RHB) approach…

核理论 · 物理学 2025-06-25 C. Chen , Y. F. Niu , R. Xu , Y. Tian

We show how to perform universal adiabatic quantum computation using a Hamiltonian which describes a set of particles with local interactions on a two-dimensional grid. A single parameter in the Hamiltonian is adiabatically changed as a…

量子物理 · 物理学 2015-04-16 David Gosset , Barbara M. Terhal , Anna Vershynina

Starting from the adiabatic time-dependent Hartree-Fock approximation (ATDHF), we propose an efficient method to calculate the Thouless-Valatin moments of inertia for the nuclear system. The method is based on the rapid convergence of the…

核理论 · 物理学 2012-09-28 Z. P. Li , T. Niksic , P. Ring , D. Vretenar , J. M. Yao , J. Meng

We examine the coexistence of spherical and $\gamma$-unstable deformed nuclear shapes, described by an SO(5)-invariant Bohr Hamiltonian, along the critical-line. Calculations are performed in the Algebraic Collective Model by introducing…

核理论 · 物理学 2018-03-06 P. E. Georgoudis , A. Leviatan

We develop a time-dependent real-space renormalization-group approach which can be applied to Hamiltonians with time-dependent random terms. To illustrate the renormalization-group analysis, we focus on the quantum Ising Hamiltonian with…

无序系统与神经网络 · 物理学 2019-01-30 Peter Mason , Alexandre Zagoskin , Joseph Betouras

We have investigated collective breathing modes of a unitary Fermi gas in deformed harmonic traps. The ground state is studied by the Superfluid Local Density Approximation (SLDA) and small-amplitude collective modes are studied by the…

量子气体 · 物理学 2019-11-20 Na Fei , Junchen Pei , Kai Wang , M. Kortelainen