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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

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 nuclei at subbarrier energies. The calculated results are in a good…

Nuclear Theory · Physics 2011-11-10 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , W. Scheid , H. Q. Zhang

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

Coulomb barrier height is a basic parameter to describing the nuclear reactions. Recently it is found that ions produce from nuclear reactions can be used to study electron loss and capture processes. Hence determining the Coulomb barrier…

Nuclear Theory · Physics 2015-10-21 Deepak Kumar Swami , Prashant Sharma , Tapan Nandi

Existing data on near-barrier fusion excitation functions of medium and heavy nucleus-nucleus systems have been analyzed using a simple diffused barrier formula derived assuming the Gaussian shape of the barrier height distributions. Fusion…

Nuclear Theory · Physics 2014-12-30 Debasis Atta , D. N. Basu

We reexamine the Glauber model and calculate the total reaction cross section as a function of energy in the low and intermediate energy range, where many of the corrections in the model, are effective. The most significant effect in this…

Nuclear Theory · Physics 2008-11-26 Prashant Shukla

Systematic calculations of the Coulomb barrier parameters for collisions of spherical nuclei are performed within the framework of the double folding approach. The value of the parameter $B_Z=Z_PZ_T/(A^{1/3}_P+(A^{1/3}_P)$ (which estimates…

Nuclear Theory · Physics 2016-03-23 Igor Gontchar , Maria Chushnyakova

The empirical coupled-channel (ECC) model and the universal fusion function (UFF) prescription are used to analyse the data of capture cross sections for reactions ${}^{39}$K$+{}^{181}$Ta and ${}^{46}$K$+{}^{181}$Ta reported recently by A.…

Nuclear Theory · Physics 2018-08-15 Bing Wang , Wei-Juan Zhao , En-Guang Zhao , Shan-Gui Zhou

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

The synthesis of super-heavy nuclei (SHN) through fusion reactions is a critical area of nuclear physics, offering insights into nuclear stability and the limits of the periodic table. However, theoretical predictions of evaporation residue…

Nuclear Theory · Physics 2026-03-25 Ning Wang

Evaporation Residue (ER) cross-sections and ER-gated $\gamma$-ray fold distributions are measured for the $^{32}$S + $^{154}$Sm nuclear reaction above the Coulomb barrier at six different beam energies from 148 to 191 MeV. $\gamma$-ray…

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 relationship between the backward elastic scattering probabilities and reaction cross sections is derived. This is a a very simple and useful method to extract reaction cross sections for heavy ion systems. We compare the results of our…

Nuclear Theory · Physics 2015-06-17 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , P. R. S. Gomes

Cross sections for $^{40}$Ca + $\alpha$ at low energies have been calculated from two different models and three different $\alpha$-nucleus potentials. The first model determines the cross sections from the barrier transmission in a real…

Nuclear Theory · Physics 2019-07-24 Peter Mohr

Previously a compact formula for total reaction cross section for heavy-ion collisions as a function of energy was obtained by treating the angular momentum $l$ as a continuous variable. The accuracy of the continuum approximation is…

Nuclear Theory · Physics 2012-12-11 Cheuk-Yin Wong

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 direct measurement of the reaction or capture (fusion) cross section is a difficult task since it would require the measurement of individual cross sections of many reaction channels, and most of them could be reached only by specific…

Nuclear Theory · Physics 2015-06-18 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , P. R. S. Gomes

A complete set of existing data on hot fusion reactions leading to synthesis of superheavy nuclei of Z =114-118, obtained in a series of experiments in Dubna and later in GSI Darmstadt and LBNL Berkeley, was analyzed in terms of a new…

Nuclear Theory · Physics 2015-06-04 K. Siwek-Wilczynska , T. Cap , M. Kowal , A. Sobiczewski , J. Wilczynski

The shell correction is proposed in the improved isospin dependent quantum molecular dynamics (ImIQMD) model, which plays an important role in heavy-ion fusion reactions near Coulomb barrier. By using the ImIQMD model, the static and…

Nuclear Theory · Physics 2008-11-26 Zhao-Qing Feng , Gen-Ming Jin , Feng-Shou Zhang

The prediction of stellar ($\gamma$,$\alpha$) reaction rates for heavy nuclei is based on the calculation of ($\alpha$,$\gamma$) cross sections at sub-Coulomb energies. These rates are essential for modeling the nucleosynthesis of so-called…

Nuclear Theory · Physics 2020-07-15 P. Mohr , Zs. Fülöp , Gy. Gyürky , G. G. Kiss , T. Szücs
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