Finite amplitude method applied to the giant dipole resonance in heavy rare-earth nuclei

Oishi, T.; Kortelainen, M. J.; Hinohara, Nobuo

doi:10.1103/physrevc.93.034329

Cited by 50 publications

(60 citation statements)

References 61 publications

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“…Both approaches lead to identical expressions for the rate as given in Eq. (30), with N in our case replaced for the case of coherent states by the mean photon number N in the pulse. Our definition of coherence in Sec.…”

Section: Transition Probability and Ratementioning

confidence: 99%

“…8.3.3 and 8.5 in the book by Ring and Schuck [16] where the GDR is treated in the framework of the nuclear shell model and, by way of example, Refs. [25][26][27][28][29][30][31]. These discuss the influence on GDR properties of Landau damping, of nuclear ground-state deformation, of the Skyrme force, of the pairing force within various versions of the random-phase approximation, and/or of the nuclear density functional.…”

Section: Sum Over Final Nuclear Statesmentioning

confidence: 99%

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Rate for laser-induced nuclear dipole absorption

2020

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Using the Brink-Axel hypothesis we derive the rate R for nuclear dipole excitation by a laser pulse carrying N 1 photons with average energyhω 0 ≈ 5 MeV. As expected R ∝ (hω 0) 3. The rate is also proportional to the aperture α of the laser pulse. Perhaps less expected is the fact that R ∝ N, irrespective of the degree of coherence of the laser pulse. The expression for R, derived for a nearly stationary laser pulse, is valid also for short times and can, thus, be used in simulations via rate equations of multiple nuclear dipole excitations by a single pulse. The explicit dependence of R on the parameters of the laser pulse and on nuclear parameters given in the paper should help to optimize experiments on laser-nucleus reactions.

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Section: Transition Probability and Ratementioning

confidence: 99%

Section: Sum Over Final Nuclear Statesmentioning

confidence: 99%

Rate for laser-induced nuclear dipole absorption

2020

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“…However, the values inferred from such analyses are model dependent (see, e.g., Refs. [46,47]). Alternatively, the isovector effective mass can be indirectly estimated from functionals fitted to various nuclear data, as in Ref.…”

Section: Entrainment and Isovector Effective Massmentioning

confidence: 99%

Entrainment effects in neutron-proton mixtures within the nuclear energy-density functional theory: Low-temperature limit

Chamel

Allard

2019

Phys. Rev. C

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Mutual entrainment effects in cold neutron-proton mixtures are studied in the framework of the self-consistent nuclear energy-density functional theory. Exact expressions for the mass currents, valid for both homogeneous and inhomogeneous systems, are directly derived from the time-dependent Hartree-Fock equations with no further approximation. The equivalence with the Fermi-liquid expression is also demonstrated. Focusing on neutron-star cores, a convenient and simple analytical formulation of the entrainment matrix in terms of the isovector effective mass is found, thus allowing one to relate entrainment phenomena in neutron stars to isovector giant dipole resonances in finite nuclei. Results obtained with different functionals are presented. These include the Brussels-Montreal functionals, for which unified equations of state of neutron stars have been recently calculated.

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“…It remains to be established if this method for the evaluation of the free polarization operator Π 0 (ω + iγ, r, r ) and the subsequent determination of the full response is competitive and under what conditions with the finiteamplitude method [74][75][76][77][78][79] and/or the time-dependent approach [44,45] for deform open-shell nuclei.…”

Section: A Linear Responsementioning

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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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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Finite amplitude method applied to the giant dipole resonance in heavy rare-earth nuclei

Cited by 50 publications

References 61 publications

Rate for laser-induced nuclear dipole absorption

Rate for laser-induced nuclear dipole absorption

Entrainment effects in neutron-proton mixtures within the nuclear energy-density functional theory: Low-temperature limit

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

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