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Low energy heavy-ion fusion reactions are governed by quantum tunneling through the Coulomb barrier formed by a strong cancellation of the repulsive Coulomb force with the attractive nuclear interaction between the colliding nuclei.…

Nuclear Theory · Physics 2013-01-03 K. Hagino , N. Takigawa

Measurement of fusion cross sections for the 6,7Li + 24Mg reactions by the characteristic gamma-ray method has been done at energies from below to well above the respective Coulomb barriers. The fusion cross sections obtained from these…

Experimental results for sub-barrier nuclear fusion reactions show cross section enhancements with respect to bare nuclei which are generally larger than those expected according to electron screening calculations. We point out that energy…

Astrophysics · Physics 2009-11-07 G. Fiorentini , C. Rolfs , F. L. Villante , B. Ricci

The fusion probability in "hot" fusion reactions leading to the synthesis of super-heavy nuclei is investigated systematically. The quasi-fission barrier influences the formation of the super-heavy nucleus around the "island of stability"…

Nuclear Theory · Physics 2011-12-30 Ning Wang , Junlong Tian , Werner Scheid

Excitations of colliding nuclei during a nuclear reaction considerably affect fusion cross sections at energies around the Coulomb barrier. It has been demonstrated that such channel coupling effects can be represented in terms of a…

Nuclear Theory · Physics 2016-07-20 K. Hagino

Based on the Skyrme energy density functional and the reaction $Q$-value, we propose an effective nucleus-nucleus potential for describing the capture barrier in heavy-ion fusion processes. The 443 extracted barrier heights are well…

Nuclear Theory · Physics 2024-09-20 Ning Wang , Jinming Chen , Min Liu

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. We have therefore measured the fusion excitation function at…

In this theoretical study, we establish an interrelationship between the nucleon-nucleon interaction potential and the nuclear fusion reaction cross-sections at low energies. The axially deformed self-consistent relativistic mean field with…

Nuclear Theory · Physics 2018-11-28 M. Bhuyan , Raj Kumar

The method of fusion barrier distribution has been widely used to interpret the effect of nuclear structure on heavy-ion fusion reactions around the Coulomb barrier. We discuss a similar, but less well known, barrier distribution extracted…

Nuclear Theory · Physics 2015-06-26 K. Hagino , N. Rowley

We perform exact coupled-channels calculations, taking into account properly the effects of Coulomb coupling and the finite excitation energy of collective excitations in the colliding nuclei, for three Fm formation reactions, $^{37}$Cl +…

Nuclear Theory · Physics 2009-11-10 K. Hagino , N. Rowley , T. Ohtsuki , M. Dasgupta , J. O. Newton , D. J. Hinde

Realistic fusion barriers are calculated in a macroscopic-microscopic model for several soft-fusion heavy-ion reactions leading to heavy and superheavy elements. The results obtained in such a realistic picture are very different from those…

Nuclear Theory · Physics 2009-10-30 P. Moller , J. R. Nix , P. Armbruster , S. Hofmann , G. Munzenberg

Theoretical modeling of nucleus-nucleus collision often is based on the nucleus-nucleus potential. One of the advanced methods for constructing this potential is the semi-microscopical double-folding model with the M3Y-Paris NN-forces.…

Nuclear Theory · Physics 2023-07-26 I. I. Gontchar , M. V. Chushnyakova

The nucleus-nucleus potential is calculated in the frame work of the double folding model (DFM) to obtain the Coulomb barrier parameters (barrier position and height), starting from M3Y-Reid nucleon-nucleon interaction and realistic nuclear…

Nuclear Theory · Physics 2020-01-22 M. Ismail , A. Y. Ellithi , A. Adel , A. R. Abdulghany

Fusion cross sections of light nuclei are calculated by a complex potential and taking into account of conservation of angular momentum and parity. The nuclear potential is assumed to be as simple as a spherical complex square well with a…

Nuclear Theory · Physics 2018-10-16 T. Koohrokhi , A. M. Izadpanah , S. K. Hosseini

Formally, the cross section for producing a heavy evaporation residue, {\sigma}EVR, in a fusion reaction can be written as. \begin{equation} \sigma_{\rm EVR}(E)=\frac{\pi h^2}{2\mu E}\sum\limits_{\ell=0}^\infty (2\ell+1)T(E,\ell)P_{\rm…

Nuclear Experiment · Physics 2017-12-06 Walter Loveland , Larry Yao

The dependence of fusion dynamics on neutron excess for light nuclei is extracted. This is accomplished by comparing the average fusion cross-section at energies just above the fusion barrier for $^{12-15}$C + $^{12}$C with measurements of…

Nuclear Experiment · Physics 2020-07-23 R. T. deSouza , Varinderjit Singh , S. Hudan , Z. Lin , C. J. Horowitz

Radiative thermal neutron capture cross sections for nuclei participating in s-process and p-process nucleosynthesis in and around $N=50$ closed neutron shell have been calculated in statistical semi-microscopic Hauser-Feshbach approach for…

Nuclear Theory · Physics 2018-05-29 Saumi Dutta , G. Gangopadhyay , Abhijit Bhattacharyya

We construct a formula for proton-nucleus total reaction cross section as a function of the mass and neutron excess of the target nucleus and the proton incident energy. We deduce the dependence of the cross section on the mass number and…

Nuclear Theory · Physics 2008-11-26 Kei Iida , Akihisa Kohama , Kazuhiro Oyamatsu

An analytical formula with high accuracy is proposed for a systematic description of the capture cross sections at near-barrier energies from light to superheavy reaction systems. Based on the empirical barrier distribution (EBD) method,…

Nuclear Theory · Physics 2025-10-31 Ning Wang

The study aims to explore the mechanism of heavy-ion fusion using various effective nucleon-nucleon (NN) interactions and nuclear density distributions. The nuclear potentials are obtained by folding the relativistic effective NN…

Nuclear Theory · Physics 2025-05-14 Shilpa Rana , Raj Kumar , M. Bhuyan