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The total reaction cross section $\sigma_{\rm{reac}}$ is a valuable measure for the prediction of $\alpha$-induced reaction cross sections within the statistical model and for the comparison of scattering of tightly bound projectiles to…

Nuclear Experiment · Physics 2010-10-27 P. Mohr , D. Galaviz , Zs. Fülöp , Gy. Gyürky , G. G. Kiss , E. Somorjai

The relationship between the quasielastic excitation function and the capture cross section is derived. The quasielastic data is shown to be a useful tool to extract the capture cross sections and the angular momenta of the captured systems…

Nuclear Theory · Physics 2015-06-15 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , P. R. S. Gomes

The cross sections of complete fusion and incomplete fusion for the $ ^{9} $Be + $ ^{197} $Au system, at energies not too much above the Coulomb barrier, were measured for the first time. The online activation followed by offline…

We invert experimental data for heavy-ion fusion reactions at energies well below the Coulomb barrier in order to directly determine the internucleus potential between the colliding nuclei. In contrast to the previous applications of the…

Nuclear Theory · Physics 2008-11-26 K. Hagino , Y. Watanabe

The influence of positive $Q$-value four-neutron transfer (PQ4NT) effects on the sub-barrier capture cross sections is systematically investigated using the empirical barrier distribution (EBD2) method. For 13 fusion reactions with…

Nuclear Theory · Physics 2026-01-13 Ning Wang , Yi-Jie Duan , Hong Yao , Hui-Ming Jia

The total fusion cross sections for the fusion of weakly bound $^{9}$Be on $^{27}$Al and $^{64}$Zn targets at near and above the barrier have been calculated using one dimensional barrier penetration model, taking scattering potential as…

Nuclear Theory · Physics 2015-06-18 K. P. Santhosh , V. Bobby Jose

We analyze the efficiency of different methods for the calculation of reaction rates in the case of two simple analytical benchmark systems. Two classes of methods are considered: the first are based on the free energy calculation along a…

Statistical Mechanics · Physics 2009-11-11 Titus S. van Erp

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

A new version is proposed for the universal empirical formula, EPAX, which describes fragmentation cross sections in high-energy heavy-ion reactions. The new version, EPAX 3, can be shown to yield cross sections that are in better agreement…

Nuclear Experiment · Physics 2015-06-05 Klaus Sümmerer

Role of the Coulomb interaction, mean fissility, mass asymmetry, and charge asymmetry parameters on the synthesis of heavy and superheavy elements has been examined with respect to the deformation parameters of the projectile and target…

To systematically describe evaporation spectra for light and heavy compound nuclei over a large range of excitation energies, it was necessary to consider three ingredients in the statistical model. Firstly, transmission coefficients or…

Nuclear Theory · Physics 2014-11-21 R. J. Charity

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

The recent high-precision measurements of alpha-particle induced reaction data below the Coulomb barrier (B) make possible the understanding of limits and possible improvement of a previous optical model potential (OMP) for alpha-particles…

Nuclear Theory · Physics 2015-06-19 V. Avrigeanu , M. Avrigeanu , C. Mănăilescu

Fusion reactions with 48Ca beams, which have been used for synthesis of $Z \le 118$ nuclei, face practical limitations for the synthesis of nuclei with $Z \ge 119$ because of the limited availability of suitable target nuclei. We estimate…

Nuclear Theory · Physics 2026-04-22 K. Kawai , Y. Aritomo , K. Nakajima , S. Takagi , N. Nishimura

For the first time, the accuracy of the approximate analytical Kramers formula for the thermal decay rate over a cusp barrier, $R_K$, is checked numerically for the overdamping regime. The numerical quasistationary rate, $R_D$, which is…

Nuclear Theory · Physics 2020-01-29 Alexander Zakharov , Maria Chushnyakova , Igor Gontchar

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…

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

The $\gamma$ process in supernova explosions is thought to explain the origin of proton-rich isotopes between Se and Hg, the so-called $p$ nuclei. The majority of the reaction rates for $\gamma$ process reaction network studies has to be…

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

We revisit the Glauber model to study the heavy ion reaction cross sections and elastic scattering angular distributions at low and intermediate energies. The Glauber model takes nucleon-nucleon cross sections and nuclear densities as…

Nuclear Theory · Physics 2017-04-26 Ajay Mehndiratta , Prashant Shukla