The systematic study of the influence of neutron excess on the fusion cross-sections using different proximity-type potentials

Ghodsi, O. N.; Gharaei, R.

doi:10.1140/epja/i2012-12021-x

Cited by 33 publications

(21 citation statements)

References 49 publications

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“…[36,45,47]. Unfortunately, the evaluated values of the fusion barrier heights for heavy and very heavy nucleusnucleus systems are higher than the empirical ones.…”

Section: Phenomenological Relaxed-density Nucleus-nucleus Potentialmentioning

confidence: 86%

“…,12. The dataset for 17820 (17820 = 1485 × 12) macroscopic potential values V imacro (R ij ) and the data for 89 empirical barrier heights B emp k between spherical nucleus-nucleus systems from Refs. [36,[45][46][47] are used for the evaluation of the macroscopical and shell-correction parts of the full phenomenological relaxed-density nucleus-nucleus potential. Note that, as a rule, the values of the empirical barrier heights are extracted from the analysis of sub-barrier heavy-ion fusion reactions.…”

Section: Phenomenological Relaxed-density Nucleus-nucleus Potentialmentioning

confidence: 99%

“…The compilation of the data for empirical nucleus-nucleus barrier heights is given in Refs. [36,[44][45][46][47]. The macroscopic nucleus-nucleus potential is evaluated in the framework of the nonlocal extended Thomas-Fermi (ETF) energy-density functional theory and the relaxed-density approach for the description of the nucleon density distribution of two interacting nuclei around the touching distance.…”

Section: Introductionmentioning

confidence: 99%

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Nucleus-nucleus potential with shell-correction contribution

Denisov

2015

Phys. Rev. C

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The full relaxed-density potential between spherical nuclei is considered as a sum of the macroscopic and shell-correction contributions. The macroscopic part of the potential is related to a nucleus-nucleus potential obtained in the framework of the extended Thomas-Fermi approach with the Skyrme and Coulomb forces and the relaxed-density ansatz for evaluation of proton and neutron densities of interacting nuclei. A simple prescription for the shell-correction part of the total potential is discussed. The parameters of the shell-correction and macroscopic parts of the relaxed-density potential are found by fitting the empirical barrier heights of the 89 nucleus-nucleus systems as well as macroscopic potentials evaluated for 1485 nucleus-nucleus systems at 12 distances around touching points.Comment: 11 pages, 4 figure

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“…[36,45,47]. Unfortunately, the evaluated values of the fusion barrier heights for heavy and very heavy nucleusnucleus systems are higher than the empirical ones.…”

Section: Phenomenological Relaxed-density Nucleus-nucleus Potentialmentioning

confidence: 86%

Section: Phenomenological Relaxed-density Nucleus-nucleus Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nucleus-nucleus potential with shell-correction contribution

Denisov

2015

Phys. Rev. C

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“…The dynamics of nuclear reactions like elastic scattering, inelastic scattering, fusion reactions, or other reaction channels are extremely sensitive to the shape of nucleus-nucleus potential. Therefore, different parameterization of nuclear potential are most widely used to explain the various nuclear phenomena, and hence, many attempts have been made to extract information regarding the optimum form of nuclear potential by analyzing a large set of experimental data [12][13][14][15]. Generally, the fusion process is explained by using the three-parametric Woods-Saxon potential, namely the depth, the range, and the diffuseness, prove extremely sensitive ingredients of the nuclear interactions.…”

Section: Introductionmentioning

confidence: 99%

Role of Barrier Modification and Inelastic Surface Excitations in Sub-Barrier Fusion of 16 32 S + 40 94 Zr Reaction

2016

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The fusion dynamics of 16 32 S + 40 94Zr reaction at near and sub-barrier energies is investigated within the context of different theoretical approaches. The various theoretical models like one-dimensional Wong formula, ℓ-summed extended Wong formula, the energy-dependent Woods-Saxon potential model (EDWSP model), and coupled channel formulation have been used to address the impacts of nuclear structure degrees of freedom of the colliding pairs. The roles of different Skyrme forces along with Wong formalism are also tested in the analysis of the sub-barrier fusion dynamics of the 16 32 S + 40 94 Zr reaction. The influence of the low-lying surface vibrational states of the collision partners is investigated within the framework of coupled channel calculations performed by the code CCFULL. In the present work, it has been observed that the EDWSP model introduces barrier modification effects somewhat similar to those of the coupled channel approach, as well as those of using different Skyrme forces and hence it reasonably addresses the observed fusion data of 16 32 S + 40 94 Zr reaction in the close vicinity of the Coulomb barrier.

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“…In this connection, many attempts have been made to deduce the relevant information regarding the optimum form of nuclear potential by analyzing the large set of experimental data [10][11][12][13][14][15][16][17]. Generally, the static Woods-Saxon potential is most frequently used to address the heavy-ion reactions.…”

Section: Introductionmentioning

confidence: 99%

Effects of intrinsic degrees of freedom in enhancement of sub-barrier fusion excitation function data and energy-dependent one-dimensional barrier penetration model

Gautam

2015

Indian J Phys

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We have analyzed the role of barrier modification effects (barrier height, barrier position, barrier curvature) introduced due to the energy-dependent Woods-Saxon potential model (EDWSP model) and the coupled channel model on the sub-barrier fusion dynamics of 32;36 16 S þ 90;96 40 Zr reactions. The influence of inelastic surface excitations of colliding pairs and multi-neutron transfer channels is found to be a dominant mode of couplings. The coupling of relative motion of colliding nuclei to these dominant intrinsic degrees of freedom leads to a substantially large fusion enhancement at belowbarrier energies over the expectations of one-dimensional barrier penetration model. The coupled channel calculations based upon static Woods-Saxon potential must include the internal nuclear structure degrees of freedom of colliding nuclei for complete description of experimental data. On the other hand, theoretical calculations based upon the EDWSP model along with Wong formula provide a complete description of sub-barrier fusion enhancement of various heavy-ion fusion reactions. In EDWSP model calculations, significantly larger values of diffuseness parameter ranging from a = 0.98 fm to a = 0.85 fm are required to address the observed sub-barrier fusion enhancement of 32;36 16 S þ 90;96 40 Zr reactions. Furthermore, within the context of EDWSP model, it is possible to achieve an agreement with the experimental fusion crosssectional data within 10 %. For four heavy-ion fusion reactions, only at 4 fusion data points out of 90 fusion data points deviates exceeding 5 %, while 86 fusion data points lie within 5 % and hence the EDWSP model is able to account the above-barrier portion of the fusion cross-sectional data within 5 % with a probability greater than 90 %.

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The systematic study of the influence of neutron excess on the fusion cross-sections using different proximity-type potentials

Cited by 33 publications

References 49 publications

Nucleus-nucleus potential with shell-correction contribution

Nucleus-nucleus potential with shell-correction contribution

Role of Barrier Modification and Inelastic Surface Excitations in Sub-Barrier Fusion of 16 32 S + 40 94 Zr Reaction

Effects of intrinsic degrees of freedom in enhancement of sub-barrier fusion excitation function data and energy-dependent one-dimensional barrier penetration model

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