Fusion and fission barrier heights and positions within the Generalized Liquid Drop Model

Royer, G.; Guillot, M.; Monard, J.A.

doi:10.1016/j.nuclphysa.2021.122191

Cited by 6 publications

(2 citation statements)

References 50 publications

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“…Great theoretical efforts are in progress to describe the nuclear interactions using a wide range of fusion systems from light colliding pairs to heavy ones. The liquiddrop model [1,2], double-folding model [3,4], Woods-Saxon potential [5,6], Skyrme energy-density [7], and the density-constrained time-dependent Hartree-Fock method [8][9][10] are examples of applied theoretical approaches that are used to estimate the strength of nuclear interaction during the fusion process. The proximity potential formalism [11] is another theoretical approach used to deal with heavy-ion fusion reactions.…”

Section: Introductionmentioning

confidence: 99%

Investigating the impact of the universal function of the nuclear proximity potential in heavy-ion fusion cross sections

Gharaei,

Sarvari

2024

Commun. Theor. Phys.

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The fusion barriers and cross sections of 15 colliding systems with $320\leq Z_1Z_2 \leq 1512$ are investigated in detail to understand the influence of the universal function of proximity potential formalism in the heavy-ion fusion mechanism. To realize this goal, we select three versions of the phenomenological proximity potentials, including Prox. 77, Zhang 2013, and Guo 2013, to calculate the nucleus-nucleus potential. The experimental fusion cross sections for the selected reactions are analyzed via the standard coupled-channels (CC) calculations, including couplings to the low-lying $2^+$ and $3^-$ states in target and projectile. The calculated results show the universal functions of the Guo 2013 and Prox. 77 models provide the lowest and highest fusion barriers, respectively. In addition, it is found that the height of fusion barriers is enhanced by increasing the mass number of the projectile from light to heavy ones. The highest sensitivity to the mass number of the projectile belongs to the results of Prox. 77. A discussion is also presented about the influence of universal function on the radial behavior of the interaction potential in the allowed region for overlapping configurations. Our results reveal that the best fit to the experimental data of the fusion cross sections for the reactions involving light and medium nuclei is obtained using the universal function of the Zhang 2013 model. For the heavier systems, the results of the Guo 2013 model at sub-barrier energies provide a good description of the available data.

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Section: Introductionmentioning

confidence: 99%

Investigating the impact of the universal function of the nuclear proximity potential in heavy-ion fusion cross sections

Gharaei,

Sarvari

2024

Commun. Theor. Phys.

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“…Under these conditions, one can find that the starting point for performing the theoretical study of fusion dynamics is to define a realistic nuclear potential V N (r). With the passage of time, different theoretical models have been proposed to evaluate the strength of the potential energy of nuclear interaction during the fusion process [6][7][8][9][10][11][12]. The proximity potential formalism [13] is one of the most important and widely used approaches to obtain the nuclear part V N (r), see for example [3,[14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Systematic study of the isotopic dependence of heavy-ion fusion cross sections at below- and above-barrier energies

Gharaei

Farkhonde

2023

Phys. Scr.

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The present work provides a systematic study on the role of nuclear surface tension in the isotopic dependence of the fusion cross sections at below- and above-barrier energies over wide range of neutron content (0.5 < N/Z < 1.7). To realize our goal, we select three diﬀerent versions of proximity-based potential, involving proximity potential 1977, 1988, and 2010, in order to calculate the nucleus-nucleus potential and ultimately the fusion barrier parameters. It is shown that the barrier positions, heights, and curvatures follow a (second-order) non-linear isotopic behavior with addition of neutrons which are dependent on the eﬀect of variation in the nuclear surface tension. Our ﬁndings reveal that the sensitivity of isotopic dependence of the fusion barrier characteristics to the eﬀect of surface energy coeﬃcients γ increases by increasing the asymmetry of the colliding pair. In addition, we demonstrate the sensitivity toward the coeﬃcient γ is seen more clearly from the more neutron-rich nuclei compared to the neutron-deﬁcient ones. We discuss the isotopic dependence of the fusion cross sections at below- and above-barrier energies within the framework of the Wong model for a single potential barrier. For above-barrier energies, it is shown that the fusion cross sections follow an increasing (second-order) non-linear trend due to the addition of neutrons. While a decreasing (second-order) non-linear trend exists for the variation in the fusion cross sections at below-barrier energies. Simultaneous comparison the results obtained by the 3 versions of proximity potential for the isotopic dependence of fusion cross sections in the mentioned energy regions reveal the importance of the quantum tunneling and also nuclear structure eﬀects.

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Alpha and cluster decays of superheavy elements and 2p radioactivity of medium nuclei

Royer¹,

Ferrier²,

Pineau³

2022

Nuclear Physics A

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Fusion and fission barrier heights and positions within the Generalized Liquid Drop Model

Cited by 6 publications

References 50 publications

Investigating the impact of the universal function of the nuclear proximity potential in heavy-ion fusion cross sections

Investigating the impact of the universal function of the nuclear proximity potential in heavy-ion fusion cross sections

Systematic study of the isotopic dependence of heavy-ion fusion cross sections at below- and above-barrier energies

Alpha and cluster decays of superheavy elements and 2p radioactivity of medium nuclei

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