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Flocard, H.; Koonin, S. E.; Weiss, M. S.

doi:10.1103/physrevc.17.1682

Cited by 276 publications

(144 citation statements)

References 25 publications

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“…The Hartree-Fock approximation and its time-dependent generalization, the time-dependent Hartree-Fock theory, have provided a possible means to study the diverse phenomena observed in low energy nuclear physics [41,42]. In general modern TDHF calculations provide a useful foundation for a fully microscopic many-body description of large amplitude collective motion including collective surface vibrations and giant resonances [48][49][50][51][52][53][54][55][56][57][58][59][60][61] nuclear reactions in the vicinity of the Coulomb barrier, such as fusion [36,39,[62][63][64][65][66][67][68][69], deepinelastic reactions and transfer [70][71][72][73][74][75][76], and dynamics of (quasi)fission fragments [33,[43][44][45][46][47].…”

Section: Formalism a Tdhf And Dc-tdhf Approachesmentioning

confidence: 99%

Shape evolution and collective dynamics of quasifission in the time-dependent Hartree-Fock approach

2015

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Background: At energies near the Coulomb barrier, capture reactions in heavy-ion collisions result either in fusion or in quasifission. The former produces a compound nucleus in statistical equilibrium, while the second leads to a reseparation of the fragments after partial mass equilibration without formation of a compound nucleus. Extracting the compound nucleus formation probability is crucial to predict superheavy-element formation crosssections. It requires a good knowledge of the fragment angular distribution which itself depends on quantities such as moments of inertia and excitation energies which have so far been somewhat arbitrary for the quasifission contribution.Purpose: Our main goal is to utlize the time-dependent Hartee-Fock (TDHF) approach to extract ingredients of the formula used in the analysis of experimental angular distributions. These include the moment-of-inertia and temperature.Methods: We investigate the evolution of the nuclear density in TDHF calculations leading to quasifission. We study the dependence of the relevant quantities on various initial conditions of the reaction process.Results: The evolution of the moment of inertia is clearly non-trivial and depends strongly on the characteristics of the collision. The temperature rises quickly when the kinetic energy is transformed into internal excitation. Then, it rises slowly during mass transfer.Conclusions: Fully microscopic theories are useful to predict the complex evolution of quantities required in macroscopic models of quasifission.

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Section: Formalism a Tdhf And Dc-tdhf Approachesmentioning

confidence: 99%

Shape evolution and collective dynamics of quasifission in the time-dependent Hartree-Fock approach

2015

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“…If we neglect the residual Coulomb and Yukawa interactions of finite range, the convergence becomes much faster. We solve the differential equations to obtain the Coulomb and Yukawa potentials using the CGM [15].…”

Section: B Numerical Detailsmentioning

confidence: 99%

Finite amplitude method for the solution of the random-phase approximation

2007

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We propose a practical method to solve the random-phase approximation (RPA) in the selfconsistent Hartree-Fock (HF) and density-functional theory. The method is based on numerical evaluation of the residual interactions utilizing finite amplitude of single-particle wave functions.The method only requires calculations of the single-particle Hamiltonian constructed with independent bra and ket states. Using the present method, the RPA calculation becomes possible with a little extension of a numerical code of the static HF calculation. We demonstrate usefulness and accuracy of the present method performing test calculations for isoscalar responses in deformed 20 Ne.

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“…In the real-time calculation, we propagate single-particle wave functions {φ i } i=1,··· ,A using the same technique as that in Ref. [47]. (18) where the exponential operator is expanded in a power series to (∆t) 4 .…”

Section: Real-time Tdhf+abc a Absorbing Boundary Condition (Abc)mentioning

confidence: 99%

Linear response theory in the continuum for deformed nuclei: Green's function vs time-dependent Hartree-Fock with the absorbing boundary condition

2005

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The continuum random-phase approximation is extended to the one applicable to deformed nuclei. We propose two different approaches. One is based on the use of the three dimensional (3D) Green's function and the other is the small-amplitude TDHF with the absorbing-boundary condition. Both methods are based on the 3D Cartesian grid representation and applicable to systems without any symmetry on nuclear shape. The accuracy and identity of these two methods are examined with the BKN interaction. Using the full Skyrme energy functional in the small-amplitude TDHF approach, we study the isovector giant dipole states in the continuum for 16 O and for even-even Be isotopes.

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Three-dimensional time-dependent Hartree-Fock calculations: Application toO16+
H. Flocard
¹
,
S. E. Koonin
²
,
M. S. Weiss
³

Cited by 276 publications

References 25 publications

Shape evolution and collective dynamics of quasifission in the time-dependent Hartree-Fock approach

Shape evolution and collective dynamics of quasifission in the time-dependent Hartree-Fock approach

Finite amplitude method for the solution of the random-phase approximation

Linear response theory in the continuum for deformed nuclei: Green's function vs time-dependent Hartree-Fock with the absorbing boundary condition

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Three-dimensional time-dependent Hartree-Fock calculations: Application toO16+H. Flocard1, S. E. Koonin2, M. S. Weiss3

Cited by 276 publications

References 25 publications

Shape evolution and collective dynamics of quasifission in the time-dependent Hartree-Fock approach

Shape evolution and collective dynamics of quasifission in the time-dependent Hartree-Fock approach

Finite amplitude method for the solution of the random-phase approximation

Linear response theory in the continuum for deformed nuclei: Green's function vs time-dependent Hartree-Fock with the absorbing boundary condition

Contact Info

Product

Resources

About

Three-dimensional time-dependent Hartree-Fock calculations: Application toO16+
H. Flocard
¹
,
S. E. Koonin
²
,
M. S. Weiss
³