The effect of the nuclear state equation on the surface diffuseness parameter of the Woods–Saxon potential in the heavy ion fusion reactions

Ghodsi, O. N.; Zanganeh, V.

doi:10.1016/j.nuclphysa.2010.06.005

Cited by 42 publications

(27 citation statements)

References 26 publications

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“…The similarity of the M3Y + repulsion and a Woods-Saxon potential was recently pointed out in Ref. [29]. It was shown that the M3Y + repulsion potential can be reproduced accurately in the barrier region by a Woods-Saxon potential with large diffuseness.…”

Section: Logarithmic Derivativementioning

confidence: 76%

Hindrance in the fusion ofCa48+Ca
Esbensen
¹
,
Jiang
²
,
Stefanini
³

2010
Phys. Rev. C
50
9
69
0
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The coupled-channels technique is applied to analyze recent fusion data for 48 Ca + 48 Ca. The calculations include the excitations of the low-lying 2 + , 3 − , and 5 − states in projectile and target, and the influence of mutual excitations as well as the two-phonon quadrupole excitations is also investigated. The ion-ion potential is obtained by double-folding the nuclear densities of the reacting nuclei with the M3Y + repulsion effective interaction but a standard Woods-Saxon potential is also applied. The data exhibit a strong hindrance at low energy compared to calculations that are based on a standard Woods-Saxon potential but they can be reproduced quite well by applying the M3Y + repulsion potential with an adjusted radius of the nuclear density. The influence of the polarization of high-lying states on the extracted radius is discussed.

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Section: Logarithmic Derivativementioning

confidence: 76%

Hindrance in the fusion ofCa48+Ca
Esbensen
¹
,
Jiang
²
,
Stefanini
³

2010
Phys. Rev. C
50
9
69
0
View full text Add to dashboard Cite

show abstract

“…In same analogy, the EDWSP model-based calculation requires significantly larger value of diffuseness parameter ranging from a = 0.85 fm to a = 0.98 fm for addressing the sub-barrier fusion data, and therefore, the energy dependence in the Woods-Saxon potential reflects similar characteristics of sub-barrier fusion mechanism as inferred from the static Woods-Saxon potential with abnormally large diffuseness parameter. Ghodsi and Zanganeh [45] have shown that the M3Y?repulsion and static Woods-Saxon potential with large diffuseness parameter accurately reproduce the fusion dynamics of 12 6 C þ 92 40 Zr, 16 8 O þ 92 40 Zr, 28 14 Si þ 92 40 Zr and 35 17 Cl þ 92 40 Zr systems. This unambiguity reveals that M3Y?repulsion and static Woods-Saxon potential with large diffuseness parameter explore similar behavior of sub-barrier fusion dynamics, and hence, the effects of M3Y?repulsion potential can be correctly reproduced by static Woods-Saxon potential with abnormally large diffuseness parameter ranging from a = 0.75 fm to a = 1.5 fm.…”

Section: Resultsmentioning

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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“…Fusion of interacting nuclei and associated phenomena have attracted a considerable number of studies to date [1][2][3][4][5][6][7][8]. To analyze such a process between different combinations of target and projectile nuclei, an accurate knowledge of ion-ion interaction potential, especially around the barrier, plays a significant role.…”

Section: Introductionmentioning

confidence: 99%

Comparative study of fusion barriers using Skyrme interactions and the energy density functional

Ghodsi

Torabi

2015

Phys. Rev. C

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Using different Skyrme interactions, we have carried out a comparative analysis of fusion barriers for a wide range of interacting nuclei in the framework of semiclassical Skyrme energy density formalism. The results of our calculations reveal that SVI, SII, and SIII Skyrme forces are able to reproduce the empirical values of barrier heights with higher accuracy than the other considered forces in this formalism. It is also shown that the calculated nucleus-nucleus potentials derived from such Skyrme interactions are able to explain the fusion cross sections at energies near and above the barrier.

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The effect of the nuclear state equation on the surface diffuseness parameter of the Woods–Saxon potential in the heavy ion fusion reactions

Cited by 42 publications

References 26 publications

Hindrance in the fusion ofCa48+Ca
Esbensen
¹
,
Jiang
²
,
Stefanini
³

2010
Phys. Rev. C
50
9
69
0
View full text Add to dashboard Cite

Hindrance in the fusion ofCa48+Ca
Esbensen
¹
,
Jiang
²
,
Stefanini
³

2010
Phys. Rev. C
50
9
69
0
View full text Add to dashboard Cite

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

Comparative study of fusion barriers using Skyrme interactions and the energy density functional

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The effect of the nuclear state equation on the surface diffuseness parameter of the Woods–Saxon potential in the heavy ion fusion reactions

Cited by 42 publications

References 26 publications

Hindrance in the fusion ofCa48+CaEsbensen1, Jiang2, Stefanini3 2010Phys. Rev. C509690View full textAdd to dashboardCite

Hindrance in the fusion ofCa48+CaEsbensen1, Jiang2, Stefanini3 2010Phys. Rev. C509690View full textAdd to dashboardCite

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

Comparative study of fusion barriers using Skyrme interactions and the energy density functional

Contact Info

Product

Resources

About

Hindrance in the fusion ofCa48+Ca
Esbensen
¹
,
Jiang
²
,
Stefanini
³

2010
Phys. Rev. C
50
9
69
0
View full text Add to dashboard Cite

Hindrance in the fusion ofCa48+Ca
Esbensen
¹
,
Jiang
²
,
Stefanini
³

2010
Phys. Rev. C
50
9
69
0
View full text Add to dashboard Cite