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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

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

Couplings between relative motion and internal structures are known to affect fusion barriers by dynamically modifying the densities of the colliding nuclei. The effect is expected to be stronger at energies near the barrier top, where…

Nuclear Theory · Physics 2014-03-13 A. S. Umar , C. Simenel , V. E. Oberacker

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

With the time dependent Hartree-Fock (TDHF) theory, capture thresholds $E_{\rm cap}$ for 144 fusion systems with nearly spherical nuclei are systematically studied for the first time. We find that for the reactions between doubly-magic…

Nuclear Theory · Physics 2024-05-08 Hong Yao , Hui Yang , Ning Wang

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

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

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…

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 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

We have constructed an empirical formulae for the fusion and interaction barriers using experimental values available till date. The fusion barriers so obtained have been compared with different model predictions based on the proximity,…

Nuclear Theory · Physics 2022-05-04 T. Nandi , D. K. Swami , P. S. Damodara Gupta , Yash Kumar , S. Chakraborty , H. C. Manjunatha

The Skyrme energy-density functional approach has been extended to study the massive heavy-ion fusion reactions. Based on the potential barrier obtained and the parameterized barrier distribution the fusion (capture) excitation functions of…

Nuclear Theory · Physics 2009-11-11 Ning Wang , Xizhen Wu , Zhuxia Li , Min Liu , Werner Scheid

A modified Woods-Saxon potential model is proposed for a unified description of the entrance channel fusion barrier and the fission barrier of fusion-fission reactions based on the Skyrme energy-density functional approach. The fusion…

Nuclear Theory · Physics 2008-11-26 Ning Wang , Kai Zhao , Werner Scheid , Xizhen Wu

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

We re-examine the well-known Wong formula for heavy-ion fusion cross sections. Although this celebrated formula yields almost exact results for single-channel calculations for relatively heavy systems such as $^{16}$O+$^{144}$Sm, it tends…

Nuclear Theory · Physics 2015-03-27 N. Rowley , K. Hagino

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 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

We describe low-lying collective excitations of atomic nuclei with the multi-reference covariant density functional theory, and combine them with coupled-channels calculations for heavy-ion fusion reactions at energies around the Coulomb…

Nuclear Theory · Physics 2015-04-16 K. Hagino , J. M. Yao

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 fusion cross sections from well above barrier to extreme sub-barrier energies have been analysed using the energy (E) and angular momentum (L) dependent barrier penetration model ({\small{ELDBPM}}). From this analysis, the adiabatic…

Nuclear Theory · Physics 2008-11-26 S. V. S. Sastry , S. Kailas , A. K. Mohanty , A. Saxena
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