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The renormalized quasiparticle-RPA is reformulated for even-even nuclei using restrictions imposed by the commutativity of the phonon creation operator with the total particle number operator. This new version, Fully-Renormalized QRPA…

Nuclear Theory · Physics 2009-11-07 Vadim Rodin , Amand Faessler

Chemical accuracy serves as an important metric for assessing the effectiveness of the numerical method in Kohn--Sham density functional theory. It is found that to achieve chemical accuracy, not only the Kohn--Sham wavefunctions but also…

Computational Physics · Physics 2023-10-25 Yang Kuang , Yedan Shen , Guanghui Hu

An exactly solvable model is introduced, which is equivalent to the exact shell-model treatment of protons and neutrons in a single j-shell for Fermi-type excitations. Exact energies, quasiparticle numbers and double beta decay Fermi…

Nuclear Theory · Physics 2007-05-23 Jorge G. Hirsch , Peter O. Hess , Osvaldo Civitarese

We developed a semiclassical approximation method in combination with an adaptive moment estimation optimizer (SCA + ADAM) approach based on the PyTorch plus CUDA library on a the graphics processing unit (GPU). This method was employed to…

Strongly Correlated Electrons · Physics 2023-11-09 Hayun Park , Hunpyo Lee

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…

Quantum Gases · Physics 2019-11-20 Na Fei , Junchen Pei , Kai Wang , M. Kortelainen

We present an overview of the Hartree-Fock-Bogoliubov (HFB) theory of nucleonic superfluidity for finite nuclei. After introducing basic concepts related to pairing correlations, we show how the correlated pairs are incorporated into the…

Nuclear Theory · Physics 2017-08-23 J. Dobaczewski , W. Nazarewicz

We propose a new method for simulating QCD at finite density, where interesting phases such as the color superconductivity phase is conjectured to appear. The method is based on a general factorization property of distribution functions of…

High Energy Physics - Lattice · Physics 2017-08-23 Jun Nishimura

We describe a finite-field approach to compute density response functions, which allows for efficient $G_0W_0$ and $G_0W_0\Gamma_0$ calculations beyond the random phase approximation. The method is easily applicable to density functional…

Chemical Physics · Physics 2018-12-19 He Ma , Marco Govoni , Francois Gygi , Giulia Galli

The approach to study properties of charge-exchange excitations in hot nuclei is presented. The approach is based on the extension of the finite rank separable approximation for Skyrme interactions to finite temperatures employing the TFD…

Nuclear Theory · Physics 2011-12-30 Alan A. Dzhioev , A. I. Vdovin

The Quasiparticle Random Phase Approximation equations are solved taking into account the Pauli Principle at the expectation value level, and allowing changes in the mean field occupation numbers to minimize the energy while having the…

Nuclear Theory · Physics 2009-11-06 Alejandro Mariano , Jorge G. Hirsch

The Lipkin-Nogami method is generalized to deal with finite range density dependent forces. New expressions are derived and realistic calculations with the Gogny force are performed for the nuclei $^{164}$Er and $^{168}$Er. The sharp phase…

Nuclear Theory · Physics 2008-11-26 A. Valor , J. L. Egido , L. M. Robledo

We present a pseudopotential-based plane-wave implementation of the rigid muffin-tin approximation (RMTA), offering a computationally efficient alternative to its traditional use in all-electron codes. This approach enables the evaluation…

We study the reliability of the constrained random phase approximation (cRPA) method for the calculation of low-energy effective Hamiltonians by considering multi-orbital lattice models with one strongly correlated "target" band and two…

Strongly Correlated Electrons · Physics 2015-07-24 Hiroshi Shinaoka , Matthias Troyer , Philipp Werner

Some general features of the spectrum of the Hartree-Fock-Bogoliubov equations are examined. Special attention is paid to the asymptotic behavior of the single quasiparticle wave functions (s.qp.w.fs.), matter density distribution and…

Nuclear Theory · Physics 2007-05-23 Aurel Bulgac

Quasiparticle random-phase approximation (QRPA) is applied to two nuclei, and overlap of the QRPA excited states based on the different nuclei is calculated. The aim is to calculate the overlap of intermediate nuclear states of the…

Nuclear Theory · Physics 2015-06-05 J. Terasaki

H-wave is an open-source software package for performing the Hartree--Fock approximation (HFA) and random phase approximation (RPA) for a wide range of Hamiltonians of interacting fermionic systems. In HFA calculations, H-wave examines the…

Strongly Correlated Electrons · Physics 2024-02-02 Tatsumi Aoyama , Kazuyoshi Yoshimi , Kota Ido , Yuichi Motoyama , Taiki Kawamura , Takahiro Misawa , Takeo Kato , Akito Kobayashi

We have developed a new method for determining microscopically the fivedimensional quadrupole collective Hamiltonian, on the basis of the adiabatic self-consistent collective coordinate method. This method consists of the constrained…

We present the first set of results of solving the Hartree-Fock-Bogoliubov equations, which describe the self-consistent mean field theory with pairing interaction. Calculations for even-even nuclei are carried out on a two-dimensional…

Nuclear Theory · Physics 2007-05-23 E. Teran , V. E. Oberacker , A. S. Umar

An adiabatic approximation to the selfconsistent collective coordinate method is formulated in order to describe large amplitude collective motions in superconducting nuclei on the basis of the time-dependent Hartree-Fock-Bogoliubov…

Nuclear Theory · Physics 2009-11-06 M. Matsuo , T. Nakatsukasa , K. Matsuyanagi

The phase transitions at finite temperatures in the systems described by the Bose-Fermi-Hubbard model are investigated in this work in the framework of the selfconsistent random phase approximation. The case of the hard-core bosons is…

Other Condensed Matter · Physics 2010-09-07 T S Mysakovych