Relativistic Coulomb Excitation within the Time Dependent Superfluid Local Density Approximation

Stetcu, I.; Bertulani, C. A.; Bulgac, Aurel; Magierski, Piotr; Roche, Kenneth J.

doi:10.1103/physrevlett.114.012701

Cited by 44 publications

(55 citation statements)

References 22 publications

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“…In a high accuracy nuclear EDF (NEDF) various currents are present as well, such as the normal current j(r), and the spin current densities J (r). In our previous works [9,44,45] we used the popular parametrization SLy4 [43,52] of the Skyrme NEDF, that has a rather generic form,…”

Section: A Nuclear Dft Within Local Density Approximationmentioning

confidence: 99%

“…In this section, the Green's function and the shifted COCG method, which we denote XCOCG, is benchmarked by solving the self-consistent HFB equation in 3D coordinate space and compared with the codes used in Refs. [9,44,45], which we denote XDIAG. The XDIAG code extracts wave functions of HFB Hamiltonian (13) in the discrete variable representation (DVR) basis [21] via a direct diagonalization.…”

Section: Benchmark Examplesmentioning

confidence: 99%

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Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method

et al. 2017

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Self-consistent approaches to superfluid many-fermion systems in three-dimensions (and their subsequent use in time-dependent studies) require a large number of diagonalizations of very large dimension Hermitian matrices, which results in enormous computational costs. We present an approach based on the shifted conjugate-orthogonal conjugate-gradient (COCG) Krylov method for the evaluation of the Green's function, from which we subsequently extract various densities (particle number, spin, current, kinetic energy, anomalous, etc.) of a nuclear system. The approach eschews the determination of the quasiparticle wavefunctions and their corresponding quasiparticle energies, which never explicitly appear in the construction of a single-particle Hamiltonian or needed for the calculation of various static nuclear properties, which depend only on densities. As benchmarks we present calculations for nuclei with axial symmetry, including the ground state of spherical (magic or semi-magic) and axially deformed nuclei, the saddle-point in the 240 Pu constrained fission path, and a vortex in the neutron star crust and demonstrate the superior efficiency of the shifted COCG Krylov method over traditional approaches.

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Section: A Nuclear Dft Within Local Density Approximationmentioning

confidence: 99%

Section: Benchmark Examplesmentioning

confidence: 99%

Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method

et al. 2017

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“…Heavier neutron-rich nuclei were later found to display a fragmentation of the nuclear response [2] in relativistic Coulomb excitation experiments [3,4]). Such experiments confirmed the existence of collective excitations at low energies in nuclei, identified via gamma and neutron emission [2].Fancy density functional models are now being used to describe collective states in nuclei such as the timedependent superfluid local density approximation [5,6,7] and pigmy resonances are often being studied using mean field theories [8,9,10,11,12,13,14]. Slight modifications of the linear response theory allows the prediction of a considerable concentration of the excitation strength in neutron-rich nuclei at low energies [15,16].…”

mentioning

confidence: 83%

Pigmy resonances, transfer, and separable potentials

Bertulani

Kadyrov

Kruppa

et al. 2017

AIP Conference Proceedings

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In this contribution we make a short review of recent progress on topics of current interest in nuclear physics and nuclear astrophysics. In particular, we discuss a re-analysis of the extraction of the dipole response of the pigmy resonance in $^{68}$Ni based on a continuum discretized coupled-channels calculation in relativistic Coulomb excitation experiments. We also discuss the forthcoming progresses made by our group on the Alt-Sandhas-Grassberber approach to (d,p) reactions and future expectations. The role of separable potentials in solving such equations with a test case based on applications of such potentials to phase-shift analysis is also presented.Comment: Carpathian Summer School of Physics 2016,Exotic Nuclei and Nuclear/Particle Physics VI, "Physics with small accelerators", eds. L. Trache et al. 9 pages, 6 figure

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“…This extension can be easily done by incorporating both proton and neutron densities when we calculate potentials in Eq. (13).…”

Section: A Finite Temperature Hfb Theorymentioning

confidence: 99%

Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculations using the shifted Krylov method

Kashiwaba

Nakatsukasa

2020

Phys. Rev. C

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Background: In order to study structure of proto-neutron stars and those in subsequent cooling stages, it is of great interest to calculate inhomogeneous hot and cold nuclear matter in a variety of phases. The finite-temperature Hartree-Fock-Bogoliubov (FT-HFB) theory is a primary choice for this purpose, however, its numerical calculation for superfluid (superconducting) many-fermion systems in three dimensions requires enormous computational costs. Purpose: To study a variety of phases in the crust of hot and cold neutron stars, we propose an efficient method to perform the FT-HFB calculation with the three-dimensional (3D) coordinatespace representation. Methods: Recently, an efficient method based on the contour integral of Green's function with the shifted conjugate-orthogonal conjugate-gradient method has been proposed [Phys. Rev. C 95, 044302 (2017)]. We extend the method to the finite temperature, using the shifted conjugateorthogonal conjugate-residual method. Results: We benchmark the 3D coordinate-space solver of the FT-HFB calculation for hot isolated nuclei and fcc phase in the inner crust of neutron stars at finite temperature. The computational performance of the present method is demonstrated. Different critical temperatures of the quadrupole and the octupole deformations are confirmed for 146 Ba. The robustness of the shape coexistence feature in 184 Hg is examined. For the neutron-star crust, the deformed neutron-rich Se nuclei embedded in the sea of superfluid low-density neutrons appear in the fcc phase at the nucleon density of 0.045 fm −3 and the temperature of kBT = 200 keV. Conclusions: The efficiency of the developed solver is demonstrated for nuclei and inhomogeneous nuclear matter at finite temperature. It may provide a standard tool for nuclear physics, especially for the structure of the hot and cold neutron-star matters.

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Relativistic Coulomb Excitation within the Time Dependent Superfluid Local Density Approximation

Cited by 44 publications

References 22 publications

Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method

Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method

Pigmy resonances, transfer, and separable potentials

Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculations using the shifted Krylov method

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