Time Dependent Hartree-Fock and Beyond

Goeke, K.; Cusson, R.Y.; Grümmer, F.; Reinhard, P.‐G.; Reinhardt, Hugo

doi:10.1143/ptps.74.33

Cited by 32 publications

(26 citation statements)

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“…Understanding of the fine structure in the nuclear collective response, its fragmentation and damping mechanisms constitute a major challenge for theoretical models [5][6][7][8]. One possible avenue is the development of quantum transport theories for nuclear dynamics [9,10].…”

Section: Introductionmentioning

confidence: 99%

Collective response of nuclei: Comparison between experiments and extended mean-field calculations

Lacroix¹,

Ayık

Chomaz

2001

Phys. Rev. C

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The giant monopole, dipole and quadrupole responses in 40 Ca, 90 Zr, 120 Sn and 208 Pb are investigated using linear response treatment based on a stochastic one-body transport theory. Effects of the coupling to low-lying surface modes (coherent mechanism) and the incoherent mechanism due to nucleon-nucleon collisions are included beyond the usual mean-field description. We emphasize the importance of both mechanism in the fragmentation and damping of giant resonance. Calculated spectra are compared with experiment in terms of percentage of Energy-Weighted SumRules in various energy regions. We obtained reasonable agreement in all cases. A special attention as been given to the fragmentation of the Giant Quadrupole Resonance in calcium and lead. In particular, the equal splitting of the 2 + in 40 Ca is correctly reproduced. In addition, the appearance of fine structure in the response 208 Pb is partly described by the calculations in which the coherent mechanism play an important role. (February 2, 2017) PACS: 24.30. Cz, 21.60.Jz, 25.70.Lm

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Section: Introductionmentioning

confidence: 99%

Collective response of nuclei: Comparison between experiments and extended mean-field calculations

Lacroix¹,

Ayık

Chomaz

2001

Phys. Rev. C

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“…In the extended TDHF theory, the evolution of the single particle density matrix ρ(t) is determined by a transport equation [16,18,19,20,21,22,23,24],…”

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confidence: 99%

Finite temperature nuclear response in the extended random phase approximation

1998

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The nuclear collective response at finite temperature is investigated for the first time in the quantum framework of the small amplitude limit of the extended TDHF approach, including a non-Markovian collision term. It is shown that the collision width satisfies a secular equation. By employing a Skyrme force, the isoscalar monopole, isovector dipole and isoscalar quadrupole excitations in 40 Ca are calculated and important quantum features are pointed out. The collisional damping due to decay into incoherent 2p-2h states is small at low temperatures but increases rapidly at higher temperatures.

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“…(4) or its approximate form (8) assuming that over the time interval ∆t the natural states can be approximated by ψ λ (s) . At time t + ∆t the new natural states |ψ λ (t + ∆t) and their occupation numbers n λ (t + ∆t) are determined by diagonalizing the occupation matrix ρ λλ ′ (t + ∆t).…”

Section: Methodsmentioning

confidence: 99%

“…Mean-field alone is inadequate to describe the collision dynamics at these energies, and it is necessary to improve the one-body description beyond the mean-field approximation by incorporating binary collisions due to short range correlations into the equation of motion. This model is usually referred to as the extended TDHF (ETDHF) [6,7,8,9]. A large amount of work has been done on the formal development of the ETDHF, however, due to the numerical complexity often linked with conceptual problems, the applications of the theory on realistic situations remain a difficult problem, and only a few approximate quantal calculations exists so far [10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

On the simulation of extended TDHF theory

1999

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A novel method is presented for implementation of the extended mean-field theory incorporating two-body collisions. At a given time, stochastic imaginary time propagation of occupied states are used to generate a convenient basis. The quantal collision terms, including memory effects, is then computed by a backward mean-field propagation of these single-particle states. The method is illustrated in an exactly solvable model. Whereas the usual TDHF fails to reproduce the long time evolution, a good agreement is found between the extended TDHF and the exact solution.

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Time Dependent Hartree-Fock and Beyond

Cited by 32 publications

References 0 publications

Collective response of nuclei: Comparison between experiments and extended mean-field calculations

Collective response of nuclei: Comparison between experiments and extended mean-field calculations

Finite temperature nuclear response in the extended random phase approximation

On the simulation of extended TDHF theory

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