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The role of higher order coupling of surface vibrations to the relative motion in heavy-ion fusion reactions at near-barrier energies is investigated. The coupled channels equations are solved to all orders, and also in the linear and the…

Nuclear Theory · Physics 2008-11-26 K. Hagino , N. Takigawa , M. Dasgupta , D. J. Hinde , J. R. Leigh

The coupled-channels method has been a standard tool in analyzing heavy-ion fusion reactions at energies around the Coulomb barrier. We investigate three simplifications usually adopted in the coupled-channels calculations. These are i) the…

Nuclear Theory · Physics 2016-06-22 K. Hagino , J. M. Yao

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

The effects of higher order coupling of surface vibrations to the relative motion on heavy-ion fusion reactions at near-barrier energies are investigated. The coupled channels equations are solved to all orders, and also in the linear and…

Nuclear Theory · Physics 2016-09-08 K. Hagino , N. Takigawa , M. Dasgupta , D. J. Hinde , J. R. Leigh

With the recent availability of state-of-the-art heavy-ion stable and radioactive beams, there has been a renew interest in the investigation of nuclear reactions with heavy ions. I first present the role of inelastic and transfer channel…

Nuclear Theory · Physics 2013-06-13 C. Beck

Atomic nuclei are composite systems, and they may be dynamically excited during nuclear reactions. Such excitations are not only relevant to inelastic scattering but they also affect other reaction processes such as elastic scattering and…

Nuclear Theory · Physics 2022-05-25 K. Hagino , K. Ogata , A. M. Moro

We investigate heavy-ion multinucleon transfer reactions using the coupled-channels formalism. We first use the semi-classical approximation and show that a direct coupling between the entrance and the pair transfer channels improves a fit…

Nuclear Theory · Physics 2015-11-25 Guillaume Scamps , Kouichi Hagino

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

With the recent availability of state-of-the-art radioactive ion beams, there has been a renew interest in the investigation of nuclear reactions with heavy ions near the Coulomb barrier. The role of inelastic and transfer channel couplings…

Nuclear Theory · Physics 2015-03-20 C. Beck

We overview the current status of theoretical approaches for heavy-ion fusion reactions at subbarrier energies. We particularly discuss theoretical challenges in the coupled-channels approach, that include i) a description of deep…

Nuclear Theory · Physics 2017-12-06 K. Hagino

In this review paper we present a detailed account of the extraction and the calculation of the total reaction cross section of strongly bound and weakly bound, stable and unstable, exotic, nuclei. We discuss the optical model and the more…

Nuclear Theory · Physics 2020-11-24 L. F. Canto , V. Guimaraes , J. Lubian , M. S. Hussein

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

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

We use the two time influence functional method of the path integral approach in order to reduce the dimension of the coupled-channels equations for heavy-ion reactions based on the no-Coriolis approximation. Our method is superior to other…

Nuclear Theory · Physics 2008-11-26 K. Hagino , N. Takigawa , A. B. Balantekin , J. R. Bennett

Fusion reactions of heavy ions are investigated by employing a simple stochastic semi-classical model which includes the coupling between relative motion and low frequency collective surface modes of colliding ions similarly to the quantal…

Nuclear Theory · Physics 2010-03-19 Sakir Ayik , Bulent Yilmaz , Denis Lacroix

A self-contained Fortran-90 program based on a classical trajectory model with stochastic breakup is presented, which should be a powerful tool for quantifying complete and incomplete fusion, and breakup in reactions induced by weakly-bound…

Nuclear Theory · Physics 2011-02-01 Alexis Diaz-Torres

Recently observed rare heavy ion fusion processes, where the entire available energy is carried away by a single pion, is an example of extreme collectivity in nuclear reactions. We calculate the cross section in the approximation of sudden…

Nuclear Theory · Physics 2008-11-26 Alexander Volya , Scott Pratt , Vladimir Zelevinsky

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

In heavy-ion fusion reactions involving a well deformed nucleus, one often assumes that the orientation of the target nucleus does not change during the reaction. We discuss the accuracy of this procedure by analyzing the excitation…

Nuclear Theory · Physics 2009-11-06 Tamanna Rumin , Kouichi Hagino , Noboru Takigawa

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
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