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The sub-barrier fusion hindrance has been observed in the domain of very low energies of astrophysical relevance. This phenomenon can be analyzed effectively using an uncomplicated straightforward elegant mathematical formula gleaned…

Nuclear Theory · Physics 2023-04-10 Vinay Singh , Joydev Lahiri , Partha Roy Chowdhury , D. N. Basu

The hindrance in fusion of heavy-ion reactions crops up in the region of extreme sub-barrier energies. This phenomenon can be effectively analyzed using a simple diffused barrier formula derived assuming a Gaussian distribution of fusion…

Nuclear Theory · Physics 2023-04-25 Vinay Singh , Joydev Lahiri , Partha Roy Chowdhury , D. N. Basu

A model for hot-fusion reactions leading to the synthesis of super-heavy nuclei is discussed. The values of the hot-fusion cross-sections obtained in the model agree with the available experimental data. The hot-fusion cross-sections are…

Nuclear Theory · Physics 2023-12-29 V. Yu. Denisov

We perform a systematic study of capture excitation functions by using an empirical coupled-channel model. In this model, a barrier distribution is used to take effectively into account the effects of couplings between the relative motion…

Nuclear Theory · Physics 2017-01-31 Bing Wang , Kai Wen , Wei-Juan Zhao , En-Guang Zhao , Shan-Gui Zhou

The understanding of the fusion probability is of particular importance to reveal the mechanism of producing superheavy elements. We present a microscopic study of the compound nucleus formation by combining time-dependent density…

Nuclear Theory · Physics 2022-07-27 Xiang-Xiang Sun , Lu Guo

The influence on the fusion process of coupling to collective degrees of freedom has been explored. The significant enhancement of the fusion cross section at sub-barrier energies was compared to predictions of one-dimensional barrier…

Nuclear Theory · Physics 2008-11-26 C. Beck

The statistical model for the calculation of the compound nucleus formation cross section and the probability of compound nucleus formation in heavy-ion collisions is discussed in detail. The light, heavy, and super-heavy nucleus-nucleus…

Nuclear Theory · Physics 2023-09-27 V. Yu. Denisov

Considering energy dependence of the barrier radius in heavy-ion fusion reactions, a modified Siwek-Wilczy\'{n}ski (MSW) fusion cross section formula is proposed. With the MSW formula, the fusion barrier parameters for 367 reaction systems…

Nuclear Theory · Physics 2023-05-31 Yeruoxi Chen , Hong Yao , Min Liu , Junlong Tian , Peiwei Wen , Ning Wang

Although the study of collisions of heavy ions resulting in formation of dinuclear systems has a long history this process still is a subject of experimental and scientific activities, partly because nowadays the heavy-ion fusion process is…

Nuclear Theory · Physics 2023-05-16 I. I. Gontchar , M. V. Chushnyakova

A potential model to describe the total cross section of nuclear fusion reactions at low energies is proposed. It is shown that within an approach with a simple, single barrier potential a satisfactory description of data is hindered, while…

Nuclear Theory · Physics 2010-12-17 V. M. Shilov

Recent advances obtained in the field of near and sub-barrier heavy-ion fusion reactions are reviewed. Emphasis is given to the results obtained in the last decade, and focus will be mainly on the experimental work performed concerning the…

Nuclear Experiment · Physics 2017-09-13 Giovanna Montagnoli , Alberto M. Stefanini

For both reactions we use an approach similar to that of compound-nucleus reaction theory. For neutron-induced fission, we describe the compound system generated by absorption of the neutron and the nuclear system near the scission point as…

Nuclear Theory · Physics 2024-11-26 Hans A. Weidenmüller

Fusion - fission probabilities in the synthesis of heaviest elements are discussed in the context of the latest experimental reports. Cross sections for superheavy nuclei are evaluated using "Fusion by Diffusion" (FBD) model. Predictive…

With the quantum diffusion approach the behavior of capture cross sections and mean-square angular momenta of captured systems are revealed in the reactions with deformed and spherical nuclei at sub-barrier energies. With decreasing…

Nuclear Theory · Physics 2017-03-22 V. V. Sargsyan , R. A. Kuzyakin , G. G. Adamian , N. V. Antonenko , W. Scheid , H. Q. Zhang

Measurement of the fusion cross-section for neutron-rich light nuclei is crucial in ascertaining if fusion of these nuclei occurs in the outer crust of a neutron star. The fusion excitation function at near-barrier energies for the $^{19}$O…

This work presents a novel method for extracting potential barrier distributions from experimental fusion cross sections. We utilize a simple Gaussian process regression (GPR) framework to model the observed cross sections as a function of…

Nuclear Theory · Physics 2024-06-10 Kyle Godbey

A universal Wong formula is proposed with refined model parameters for a systematic description of the capture cross sections for heavy-ion fusion reactions from C+C to Ni+U, in which the barrier parameters and the barrier distribution are…

Nuclear Theory · Physics 2025-02-18 Ning Wang , Jinming Chen , Yicheng Wang , Hong Yao

The recent availability of precisely measured fusion cross-sections has enabled the extraction of a representation of the distribution of barriers encountered during fusion. These representations, obtained from a variety of reactions,…

Nuclear Experiment · Physics 2009-10-30 M. Dasgupta , D. J. Hinde , J. R. Leigh , K. Hagino

This article summarizes recent progress in our understanding of the reaction mechanisms leading to the formation of superheavy nuclei in cold and hot fusion reactions. Calculations are done within the Fusion-by-Diffusion (FBD) model using…

Nuclear Theory · Physics 2022-12-14 T. Cap , M. Kowal , K. Siwek-Wilczyńska

The nuclear fusion is a reaction to form a compound nucleus. It plays an important role in several circumstances in nuclear physics as well as in nuclear astrophysics, such as synthesis of superheavy elements and nucleosynthesis in stars.…

Nuclear Theory · Physics 2016-07-20 K. Hagino , N. Rowley , J. M. Yao
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