Efficient calculation for the quasiparticle random-phase approximation matrix

Avogadro, P.; Nakatsukasa, Takashi

doi:10.1103/physrevc.87.014331

Cited by 37 publications

(57 citation statements)

References 20 publications

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“…In addition, the single-particle Hamiltonian h mv can be replaced by the HF single-particle Hamiltonian h HF in Eqs. (31) and (32). It is trivial, for Eq.…”

Section: Finite Amplitude Methods For the Moving Rpa Solutionmentioning

confidence: 99%

“…To evaluate the matrix elements of A ± B in Eq. (13), we adopt the finite amplitude method (FAM) [30][31][32][36][37][38][39][40][41], especially the matrix FAM (m-FAM) prescription [32]. The FAM requires only the calculations of the single-particle Hamiltonian constructed with independent bra and ket states [30], providing us an efficient tool to solve the RPA problem.…”

Section: Finite Amplitude Methods For the Moving Rpa Solutionmentioning

confidence: 99%

“…For this purpose, we develop a computer code of a novel numerical technique. We use a combining procedure of the imaginary-time method [29] and the finite-amplitude method [30][31][32] for the solution of the ASCC equations. We show that this method nicely works for the threedimensional (3D) coordinate-space representation, taking a reaction of 8 Be↔ α + α as an example.…”

Section: Introductionmentioning

confidence: 99%

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Self-consistent collective coordinate for reaction path and inertial mass

Wen¹,

Nakatsukasa²

2016

Phys. Rev. C

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We propose a numerical method to determine the optimal collective reaction path for the nucleusnucleus collision, based on the adiabatic self-consistent collective coordinate (ASCC) method. We use an iterative method combining the imaginary-time evolution and the finite amplitude method, for the solution of the ASCC coupled equations. It is applied to the simplest case, the α − α scattering. We determine the collective path, the potential, and the inertial mass. The results are compared with other methods, such as the constrained Hartree-Fock method, the Inglis's cranking formula, and the adiabatic time-dependent Hartree-Fock (ATDHF) method.

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“…In addition, the single-particle Hamiltonian h mv can be replaced by the HF single-particle Hamiltonian h HF in Eqs. (31) and (32). It is trivial, for Eq.…”

Section: Finite Amplitude Methods For the Moving Rpa Solutionmentioning

confidence: 99%

Section: Finite Amplitude Methods For the Moving Rpa Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Self-consistent collective coordinate for reaction path and inertial mass

Wen¹,

Nakatsukasa²

2016

Phys. Rev. C

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“…To solve Eqs. (3) and (4), we use the finite amplitude method (FAM) [22,23], especially the matrix FAM prescription [24].…”

Section: Application Of the Ascc Method: Potential And Inertial Massmentioning

confidence: 99%

Time-dependent Density Functional Studies of Nuclear Quantum Dynamics in Large Amplitudes

We¹,

Washiyama²,

Ni³

et al. 2015

Acta Phys. Pol. B Proc. Suppl.

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The time-dependent density functional theory (TDDFT) provides a unified description of the structure and reaction. The linear approximation leads to the random-phase approximation (RPA) which is capable of describing a variety of collective motion in a harmonic regime. Beyond the linear regime, we present applications of the TDDFT to nuclear fusion and fission reaction. In particular, the extraction of the internuclear potential and the inertial mass parameter is performed using two different methods. A fusion hindrance mechanism for heavy systems is investigated from the microscopic point of view. The canonical collective variables are determined by the adiabatic self-consistent collective coordinate method. Preliminary results of the spontaneous fission path, the potential, and the collective mass parameter are shown for 8 Be→ α + α.

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“…The finite amplitude method [140,141] allows one to effectively take the derivatives of mean fields that enter the QRPA equations numerically, through relatively straightforward modifications to the mean-field codes themselves. A simple iterative procedure then solves the equations.…”

Section: Qrpa and Reactionsmentioning

confidence: 99%

Computational nuclear quantum many-body problem: The UNEDF project

Bogner

Bulgac

Carlson

et al. 2013

Computer Physics Communications

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The UNEDF project was a large-scale collaborative effort that applied high-performance computing to the nuclear quantum many-body problem. UNEDF demonstrated that close associations among nuclear physicists, mathematicians, and computer scientists can lead to novel physics outcomes built on algorithmic innovations and computational developments. This review showcases a wide range of UNEDF science results to illustrate this interplay.

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Efficient calculation for the quasiparticle random-phase approximation matrix

Cited by 37 publications

References 20 publications

Self-consistent collective coordinate for reaction path and inertial mass

Self-consistent collective coordinate for reaction path and inertial mass

Time-dependent Density Functional Studies of Nuclear Quantum Dynamics in Large Amplitudes

Computational nuclear quantum many-body problem: The UNEDF project

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