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Nucleon-nucleon interactions in the double folding model for fusion reactions

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Chinese Physics B 2009年第1期18卷 136-141页

作者：张高龙刘浩乐小云 Department of Physics School of ScienceBeijing University of Aeronautics and Astronautics Physics Laboratory Lanzhou Commercial College

Nucleus-nucleus potentials are determined in the framework of double folding model for M3Y-Reid and M3Y- Paris effective nucleon-nucleon （NN） interactions. Both zero-range and finite-range exchange parts of NN interactions are considered in the folding procedure. In this paper the spherical projectile-spherical target system 16O＋^2008Pb is selected for calculating the barrier energies, fusion cross sections and barrier distributions with the density-independent and density-dependent NN interactions on the basis of M3Y-Reid and M3Y Paris NN interactions. The barrier energies become lower for Paris NN interactions in comparison with Reid NN interactions, and also for finite-range exchange part in comparison with zero-range exchange part. The density-dependent NN interactions give similar fusion cross sections and barrier distributions, and the density-independent NN interaction causes the barrier distribution moving to a higher position. However, the density-independent Reid NN interaction with zero-range exchange part gives the lowest fusion cross sections. We find that the calculated fusion cross sections and the barrier distributions are in agreement with the experimental data after renormalization of the nuclear potential due to coupled-channel effect.

关键词： nucleon-nucleon interaction double folding model fusion

Calculation of α decay half-lives for superheavy elements using the double folding model

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Chinese Physics C 2009年第5期33卷 354-358页

作者：张高龙乐小云 Department of Physics School of ScienceBeihang University

α decay half-lives of some new synthesized superheavy elements, possibly synthesized superheavy elements and decay products are calculated theoretically within the WKB approximation by using microscopic α-nucleus interaction potentials. These nuclear potentials between the α particle and daughter nuclei are obtained by using the double folding integral of the matter density distribution of the α particle and daughter nuclei with a density-dependent effective nucleon-nucleon interaction, in which the zero-range exchange term is supplemented. The calculated α decay half-lives are compared with those of the different models and experimental data. It is shown that the present calculation successfully provides the half-lives of the observed decays for some new superheavy elements and therefore gives reliable predictions for α decay of possibly synthesized superheavy elements in future experiments.

关键词： double folding model superheavy element half-life α decay

Simplification of double folding model Calculations in Study of Interaction Between Two Deformed Nuclei

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Communications in Theoretical Physics 2010年第6期53卷 1140-1144页

作者： O.N.Ghodsi Science Faculty Departyment of Physics University of Mazandaran P.O.

The double folding （DF） model calculation of the internuclear potential in heavy-ion interactions when the participant nuclei are deformed in their ground states involves a six-dimensional integral. Using the multipole expansion in these calculations, the DF six-dimensional integral reduce to the sum of the products of three single-dimensional integrals. In this paper we have presented a procedure for the calculation of the radius dependent functions in the multipole expansion of the nuclear density and their Fourier transforms. We have also reduced the DF model integrals to the sum of the single dimensional integrals using the obtained relations for the radius dependent functions in the multipole expansion and their Fourier transforms.

关键词： double folding model deformed nuclei internuclear potential

Non-frozen process of heavy-ion fusion reactions at deep sub-barrier energies

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Nuclear Science and Techniques 2022年第10期33卷 117-125页

作者： Kai-Xuan Cheng Jie Pu Yu-Ting Wang Ya-Fei Guo Chun-Wang Ma School of Physics Henan Normal UniversityXinxiang 453007China

The hindrance in heavy-ion fusion reactions a deep sub-barrier energies is investigated using the double folding model with a hybrid method between the frozen and adiabatic density *** this method,the density distributions of the projectile and the target depend closely on the distance between *** the distance decreased,the half-density radii of the colliding nucle gradually increased to the half-density radius of the compound *** total potential based on this non-frozen approximation generates a slightly shallower pocket and becomes more attractive inside the pocket compared to that obtained from the frozen approximation.A damping factor was used to simulate the decline of the coupled channel effects owing to the density rearrangement of the two colliding *** calculated fusion cross-sections and astrophysical S factors at the deep sub-barrier energies are both in good agreement with the experimental data for the medium-heavyNi+Ni and medium-lightMg+Si mass *** addition,it was concluded that the apparent maximum of the S factors most likely appears in fusion systems with strong coupling effects.

关键词： Adiabatic approximation double folding model Fusion hindrance

Proton emission from the drip-line nuclei I-Bi using the WKB approximation with relativistic mean-field densities

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Chinese Physics C 2019年第4期43卷 89-99页

作者： T.Sahoo R.N.Panda S.K.Patra Physics Department Veer Surendra Sai University of Technology Department of Physics Siksha O Anusandhan Deemed to be University Institute of Physics Homi Bhaba National Institute

We study the properties of proton rich nuclei reported as proton emitters in the region from I to Bi with Z =53 to 83 and N = 56 to 102 as a crucial application to the existence of exotic nuclei. The effective relativistic meanfield formalism(E-RMF), with NL3, FSUGarnet, G3 and IOPB-I interactions, is adopted for analysis of the ground state properties of proton emitters. Furthermore, in the E-RMF background, the Wentzel-Karmers-Brillouin(WKB)barrier penetration method is used for the calculation of proton emission half-lives. It is found that the calculated halflives are in good agreement with the experimental results for all emitters considered in this study.

关键词： effective relativistic mean-field theory nuclear drip line exotic nucleus double folding model WentzelKarmers-Brillouin approximation

Pauli blocking potential applied to heavy-ion fusion reactions

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Chinese Physics C 2022年第2期46卷 122-130页

作者： Kai-Xuan Cheng Chang Xu Chun-Wang Ma Jie Pu Yu-Ting Wang School of Physics Henan Normal UniversityXinxiang 453007China School of Physics Nanjing UniversityNanjing 210008China

In this study,the Pauli blocking potential between two colliding nuclei in the density overlapping regionis applied to describe the heavy nuclei fusion *** by the Pauli blocking effect in theα-decay of heavynuclei,the Pauli blocking potential of single nucleon from the surrounding matter is *** fusion reactionswith strong density overlap,the Pauli blocking potential between the projectile and target can be constructed using asingle folding *** considering this potential,the double folding model with a new parameter set is employedto analyze the fusion processes of 95 systems.A wider Coulomb barrier and shallower potential pocket are formed inthe inner part of the potential between the two colliding nuclei,compared to that calculated using the Akyüz-Win-ther *** fusion hindrance phenomena at deep sub-barrier energies are described well for fusion systems^(16)O+^(208)Pb and^(58)Ni+^(58)Ni.

关键词： Pauli blocking effect double folding model fusion hindrance

Reanalysis of Elastic Scattering of ~6Li + ^(209)Bi Reaction Using a New DensityDistribution of ~6Li Nucleus

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Communications in Theoretical Physics 2013年第7期60卷 69-72页

作者： M. Aygun Department of Physics Bitlis Eren University

In the present paper, the elastic scattering of6 Li + 209 Bi system is reanalyzed by using the double folding model (DFM) at energies near the Coulomb barrier (ELab=29.9 and 32.8 MeV). With this goal, a new density distribution of6 Li nucleus, the no-core full configuration (NCFC) density distribution (DD), is used to obtain the real potentials in DFM calculations. The NCFC DD results are compared with the results of both gaussian shape (GS) DD and an earlier study as well as the experimental data. This comparison provides information about the similarities and differences of the models used in calculations.

关键词： optical model microscopic approaches double folding model elastic scattering