Influence of angular momentum on fission fragment mass distribution: Interpretation within Langevin dynamics

Ryabov, E. G.; Карпов, А. В.; Адеев, Г. Д.

doi:10.1016/j.nuclphysa.2005.10.005

Cited by 27 publications

(28 citation statements)

References 32 publications

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“…We have presented and discussed in detail the three-dimensional Langevin model with various input parameters in our previous publications [9][10][11][12][13]. In the present paper, we will use the same notation and ingredients constituting the model briefly described below.…”

Section: Multidimensional Langevin Equationsmentioning

confidence: 99%

“…This relation does not determine the function w KK unambiguously. The function w KK is usually chosen in the form of the Metropolis function given by equation (13) or by the Glauber function [37]:…”

Section: Formalism Of Calculation Of Fission Fragment Angular Distribmentioning

confidence: 99%

“…The multidimensional Langevin model for the description of the dynamics of collective shape coordinates and the Monte Carlo algorithm employed for modelling the evolution of the tilting mode are described in section 2. We recall the main features of the used Langevin model in order to make the present paper self-contained, although one can find an extended review of the multidimensional Langevin model in our previous publications [9][10][11][12][13] including the review [12]. The results obtained in this study and their discussion are presented in section 3.…”

Section: Introductionmentioning

confidence: 99%

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Dynamical treatment of fission fragment angular distribution

Карпов

Hiryanov

Sagdeev

et al. 2006

J. Phys. G: Nucl. Part. Phys.

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A dynamical approach to the treatment of fission fragment angular distribution is developed. The approach is based on three-dimensional Langevin dynamics for shape collective coordinates joined with the Monte Carlo algorithm for the degree of freedom associated with the projection K of the total angular momentum of the fissioning system on the symmetry axis. The relaxation time of the tilting mode τ K is estimated. From fits to experimental data on the fission fragment angular distribution of heavy fissioning compound systems, the K equilibration time is deduced to be ∼4 × 10 −21 s for temperatures ∼1-2 MeV. A modified one-body mechanism of nuclear viscosity with the reduction coefficient of the contribution from the 'wall' formula k s = 0.25 has been used in calculations.

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Section: Multidimensional Langevin Equationsmentioning

confidence: 99%

Section: Formalism Of Calculation Of Fission Fragment Angular Distribmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamical treatment of fission fragment angular distribution

Карпов

Hiryanov

Sagdeev

et al. 2006

J. Phys. G: Nucl. Part. Phys.

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“…The latter method is more accurate but very computer-time-consuming. That is why the combined dynamical-statistical models have been developed [9,10] and are being used widely at present [11][12][13][14][15][16][17][18][19][20]. In these models, after a certain delay time, the dynamical modeling is matched to the statistical description.…”

Section: Introductionmentioning

confidence: 99%

Disentangling effects of potential shape in the fission rate of heated nuclei

et al. 2010

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We have compared the results of dynamical modeling of the fission process with predictions of the Kramers formulas. For the case of large dissipation, there are two of them: the integral rate R I and its approximation R O . As the ratio of the fission barrier height B f to the temperature T reaches 4, any analytical rate is expected to agree with the dynamical quasistationary rate R D within 2%. The latter has been obtained using numerical modeling with six different potentials. It has been found that the difference between R O and R D sometimes exceeds 20%. The features of the potentials used that are responsible for this disagreement are identified and studied. It is demonstrated that it is R I , not R O , that meets this expectation regardless of the potential used.

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“…These results had been applied in order to describe the fission process about 40 years later (see, e.g., Refs. [2][3][4][5][6][7][8][9][10]). Quantum corrections to one of the Kramers formulas were derived in Refs.…”

Section: Introductionmentioning

confidence: 99%

Integral Kramers formula for the fission rate versus dynamical modeling: The case of deformation-dependent temperature

Gontchar

Kuzyakin

2011

Phys. Rev. C

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We have derived approximate analytical formulas describing the quasistationary fission rate of excited nuclei (the Kramers rates). These rates are compared with those resulting from dynamical modeling using the Smoluchowski equation (the dynamical rates). Contrary to the original Kramers approach, we have accounted for the microcanonical nature of the fission process. The influence of the potential at the scission point on the fission rates is also studied. Comparison with the dynamical rates enables us to define the accuracy of the Kramers rates in the wide range of the ratio of the fission barrier height B f to the temperature at the quasistationary state T c up to 16. These high values are not reachable within the traditional Langevin approach.

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Influence of angular momentum on fission fragment mass distribution: Interpretation within Langevin dynamics

Cited by 27 publications

References 32 publications

Dynamical treatment of fission fragment angular distribution

Dynamical treatment of fission fragment angular distribution

Disentangling effects of potential shape in the fission rate of heated nuclei

Integral Kramers formula for the fission rate versus dynamical modeling: The case of deformation-dependent temperature

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