Isotopic trends of capture cross section and mean-square angular momentum of the captured system

Self-consistent methods for the structure of heavy and superheavy nuclei are reviewed. The construction and application of energy-density functionals are discussed. The relationship between the self-consistent methods and microscopic-macroscopic approaches is considered on the mean-field level. The extraction of single-particle potentials from the energy-density functional is described. The isotopic dependence of nucleon distributions and its influence on the nucleus-nucleus interaction is analyzed. As a new additional condition we introduce that the energy-density functional must describe the heights of the Coulomb barriers in nucleusnucleus interaction potentials, thus imposing constraints on the properties of the functional at low matter densities. The self-consistent methods are applied to describe the quasiparticle structure, cluster radioactivity, and fission of the heaviest nuclei. These methods are used to predict the probabilities of β-delayed multi-neutron emission and half-lives of β-decays and electron captures in heavy and superheavy nuclei. The predicted properties of superheavy nuclei are used to estimate the production cross-sections of superheavy nuclei in complete fusion reactions. Contents

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“…As in Ref. [302], the a(N ) dependence in Pb is essentially nonlinear and is characterized by an increase with N from 112-116 to 126 (Fig. 40).…”

Section: Nucleon-density Distributionsupporting

confidence: 72%

Self-consistent methods for structure and production of heavy and superheavy nuclei

et al. 2021

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“…(132)) and σ CC F is the fusion cross section given by a CC calculation that includes couplings with all relevant bound channels. This procedure has been adopted by several authors [75,96,149,298,327,351,[395][396][397]. However, in comparisons of data with theoretical cross sections, one should keep in mind that measurements of ICF or TF tend to be more inclusive than the calculations.…”

Section: Reduction Of Fusion Datamentioning

confidence: 98%

Recent developments in fusion and direct reactions with weakly bound nuclei

et al. 2015

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“…This assumption, although difficult to justify, is conventional for the dissipative dynamical models [27][28][29][30][31]. The temperature θ is calculated as follows:…”

Section: A Dynamical Equationsmentioning

confidence: 99%

Quantitative analysis of precise heavy-ion fusion data at above-barrier energies using Skyrme-Hartree-Fock nuclear densities

2014

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We calculate the capture (fusion) cross sections for nine reactions involving spherical nuclei: 16 O + 16 O, 28 Si, 92 Zr, 144 Sm, 208 Pb; 28 Si + 28 Si, 92 Zr, 208 Pb; 32 S + 208 Pb. For six of them precision data are available in the literature. Analysis of these precision data within the framework of the single-barrier penetration model based on the Woods-Saxon profile for the strong nucleus-nucleus interaction potential (SnnP) gave rise to the problem of the apparently large diffuseness of the SnnP [Newton et al., Phys. Rev. C 70, 024605 (2004)]. Our fluctuation-dissipation trajectory model is based on the double-folding approach with the density-dependent M3Y NN forces including the finite-range exchange part. For the nuclear matter density the Skyrme-Hartree-Fock approach including the tensor interaction is applied. The resulting nucleus-nucleus potential possesses rather small (normal) diffuseness. The strength of the radial friction K R is used as the free parameter of the model. It turns out that for four of the five reactions induced by 16 O (except 16 O + 208 Pb) the calculated cross sections cannot be brought into agreement with the data within the experimental errors. This suggests that the calculated nuclear density is incorrect for 16 O. For the reactions not involving 16 O and, surprisingly, for the 16 O + 208 Pb reaction the agreement with the data within 2-5% is achieved at K R = 1.2 × 10 −2 to 3.0 × 10 −2 MeV −1 zs which is in accord with the previous works.

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Isotopic trends of capture cross section and mean-square angular momentum of the captured system

Cited by 28 publications

References 51 publications

Self-consistent methods for structure and production of heavy and superheavy nuclei

Self-consistent methods for structure and production of heavy and superheavy nuclei

Recent developments in fusion and direct reactions with weakly bound nuclei

Quantitative analysis of precise heavy-ion fusion data at above-barrier energies using Skyrme-Hartree-Fock nuclear densities

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