The systematic study of N/Z dependence on surface diffuseness parameter in the fusion of heavy neutron-rich colliding nuclei

Mittal, Suman; Dutt, Ishwar

doi:10.1063/1.4946194

Cited by 2 publications

(3 citation statements)

References 47 publications

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“…(4), (5) and (6). It is clear from these figures that the extracted values of surface diffuseness shows a linear variation with N/Z ratio of the colliding partners [26]. This indicates the fact that a neutron number increases the potential is more extended and hence shows the larger value of diffuseness parameter.…”

Section: Resultsmentioning

confidence: 75%

A Scaling Law for L-Shell X-Ray Production Cross Sections Induced by Impact of 4He+, 9Be2+, and 14N2+ Ions

Miranda

2016

JNP

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Surface diffuseness parameter used in Woods-Saxon form of potential have been extracted from a large number of experimentally studied neutron-rich fusion cross sections at near barrier energies. The results of our systematic study reveals that the extracted diffuseness parameter depend linearly on the N/Z ratio of the fusing nuclei. Further, we demonstrated that the extracted values of surface diffuseness parameter lies within the range a = 0.40 to 0.73 fm as compared to commonly accepted value form elastic scattering data i.e. 0.63 fm.

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Section: Resultsmentioning

confidence: 75%

A Scaling Law for L-Shell X-Ray Production Cross Sections Induced by Impact of 4He+, 9Be2+, and 14N2+ Ions

Miranda

2016

JNP

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“…After completing the earlier studies, we find out that all of the observations presented above are independent on the choice of theoretical models [18,20,22]. It is worth mentioning that the change in the neutron number not only alters the barrier heights and positions, it also changes the surface diffuseness of the fusion barrier [26]. In recent years, various efforts have been made to study the fusion dynamics of neutron rich nuclei using statistical and alternative theoretical models [27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 78%

“…0 and s fus 0 are the center-of-mass energy and fusion cross section, respectively, for a symmetric colliding pair with condition of N=Z. Herein, we used equation (26) to determine the theoretical values of the fusion cross sections. In figure 5, we display the calculated values of ( ) s D % fus as a function of ( )…”

Section: Role Of Nuclear Surface Tension Coefficient γ In the Isotopi...mentioning

confidence: 99%

Role of nuclear surface tension coefficients in the isotopic dependence of fusion dynamics for neutron-rich colliding nuclei: New parametrization of fusion barriers

Gharaei¹,

Farkhonde²

2020

Phys. Scr.

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A theoretical approach is developed to study systematically the influence of the nuclear surface tension coefficient, γ, of the proximity formalism on the isotopic behavior of the fusion dynamics over a wide range of neutron-rich colliding systems with condition of 1 ≤ N/Z < 1.6 for their compound nuclei. Here six different versions of the surface energy coefficient (γ-PD03, γ-MS67, γ-MS66, γ-MN81-I, γ-MN81-II and γ-MN76) in the calculation of the nuclear potential based on the original proximity potential 1977are employed. It is found that the fusion barrier characteristics and fusion cross sections follow a linear isotopic dependence which is sensitive to the change in the nuclear surface tension between the reacting nuclei. The maximum sensitivity of the data to this technical parameter is obtained for the use of the γ-PD03 version. Further, it is shown that the sensitivity of the isotopic behavior of the fusion cross sections to the coefficient γ increases by decreasing the incident energy. After the calculation of fusion barrier heights and positions using the different versions of proximity potentials, we have searched for their parametrization. Firstly, we present a pocket formula for fusion barriers which is directly dependent on both the coefficient γ and the N/Z ratio of the isotopic systems. Our analysis for the studied isotopic systems reveals that the agreement with the empirical data is improved when we consider the dependence of the analytical parameterized formulas on this coefficient. Further, the fusion cross sections obtained by the present pocket formula are in good agreement with the corresponding experimental data. A comparison with other well known parameterized forms in the context of isotopic studies is also made.

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The systematic study of N/Z dependence on surface diffuseness parameter in the fusion of heavy neutron-rich colliding nuclei

Cited by 2 publications

References 47 publications

A Scaling Law for L-Shell X-Ray Production Cross Sections Induced by Impact of 4He+, 9Be2+, and 14N2+ Ions

A Scaling Law for L-Shell X-Ray Production Cross Sections Induced by Impact of 4He+, 9Be2+, and 14N2+ Ions

Role of nuclear surface tension coefficients in the isotopic dependence of fusion dynamics for neutron-rich colliding nuclei: New parametrization of fusion barriers

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