Damping rates of hot giant dipole resonances

Fuhrmann, Uwe; Morawetz, Klaus; Walke, Rainer

doi:10.1103/physrevc.58.1473

Cited by 17 publications

(19 citation statements)

References 46 publications

(85 reference statements)

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“…We use first a simplified Skyrme parameterization [14] for V 0 according to (48) and a relaxation time τ within a Fermi liquid model [15,16]. From Fig.…”

Section: Response With Collisions: Simple Mean Fieldmentioning

confidence: 99%

General response function for interacting quantum liquids

Morawetz

Fuhrmann

2000

Phys. Rev. E

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Linearizing the appropriate kinetic equation we derive general response functions including selfconsistent mean fields or density functionals and collisional dissipative contributions. The latter ones are considered in relaxation time approximation conserving successively different balance equations. The effect of collisions is represented by correlation functions which are possible to calculate with the help of the finite temperature Lindhard RPA expression. The presented results are applicable to finite temperature response of interacting quantum systems if the quasiparticle or mean field energy is parameterized within Skyrme -type of functionals including density, current and energy dependencies which can be considered alternatively as density functionals. By this way we allow to share correlations between density functional and collisional dissipative contributions appropriate for the special treatment. We present results for collective modes like the plasmon in plasma systems and the giant resonance in nuclei. The collisions lead in general to an enhanced damping of collective modes. If the collision frequency is close to the frequency of the collective mode, resonance occurs and the collective mode is enhanced showing a collisional narrowing.

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“…We use first a simplified Skyrme parameterization [14] for V 0 according to (48) and a relaxation time τ within a Fermi liquid model [15,16]. From Fig.…”

Section: Response With Collisions: Simple Mean Fieldmentioning

confidence: 99%

General response function for interacting quantum liquids

Morawetz

Fuhrmann

2000

Phys. Rev. E

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“…As a result the response has been used successfully to describe collective excitations like giant resonances [7][8][9][10][11] also in multicomponent systems [12][13][14][15][16][17][18]. In fact, the velocity dependence of the quasiparticle mean field induces the appearance of multipole forces and when treated in random phase approximation (RPA) produces multiple pairing forces [19].…”

Section: Introductionmentioning

confidence: 99%

Quasiparticle parametrization of mean fields, Galilei invariance, and universal conserving response functions

Morawetz

2013

Phys. Rev. E

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The general possible form of mean-field parametrization in a running frame in terms of current, energy, and density functionals is examined under the restrictions of Galilean invariance. It is found that only two density-dependent parameters remain which are usually condensed in a position-dependent effective mass and the self-energy formed by current and mass. The position-dependent mass induces a position-dependent local current, which is identified for different nonlinear frames. In a second step the response to an external perturbation and relaxation towards a local equilibrium is investigated. The response function is found to be universal in the sense that the actual parametrization of the local equilibrium does not matter and is eliminated from the theory due to the conservation laws. The explicit form of the response with respect to density, momentum, and energy is derived. The compressibility sum rule as well as the sum rule by first- and third-order frequency moments are proved analytically to be fulfilled simultaneously. The results are presented for Bose or Fermi systems in one, two, and three dimensions.

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“…In order to take collisions into account as a further damping effect beyond Landau damping, we start from a kinetic equation analogous to (6) with an additional collisional term I[p, r, t] on the right hand side. In [11] we have derived a collision integral in a non-Markovian relaxation time approximation…”

Section: Collisional Modelmentioning

confidence: 99%

Chaotic scattering on surfaces and collisional damping of collective modes

et al. 1999

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The damping of hot giant dipole resonances is investigated. The contribution of surface scattering is compared with the contribution from interparticle collisions. A unified response function is presented which includes surface damping as well as collisional damping. The surface damping enters the response via the Lyapunov exponent and the collisional damping via the relaxation time. The former is calculated for different shape deformations of quadrupole and octupole type. The surface as well as the collisional contribution each reproduce almost the experimental value, and therefore we propose a proper weighting between both contributions related to their relative occurrence due to collision frequencies between particles and of particles with the surface. We find that for low and high temperatures the collisional contribution dominates whereas the surface damping is dominant around the temperatures ͱ3/2 of the centroid energy. ͓S0556-2813͑99͒00710-4͔

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Damping rates of hot giant dipole resonances

Cited by 17 publications

References 46 publications

General response function for interacting quantum liquids

General response function for interacting quantum liquids

Quasiparticle parametrization of mean fields, Galilei invariance, and universal conserving response functions

Chaotic scattering on surfaces and collisional damping of collective modes

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