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In this paper we revisit the one-dimensional tunnelling problem. We consider different approximations for the transmission through the Coulomb barrier in heavy ion collisions at near-barrier energies. First, we discuss approximations of the…

Nuclear Theory · Physics 2017-05-24 A. J. Toubiana , L. F. Canto , M. S. Hussein

We seek to understand the effect of high electron density in the proximity of a heavy nucleus on the fusion reaction rates in a hot plasma phase. We investigate quantitatively the catalytic effect of gold ($Z=79$) ions embedded in an…

Plasma Physics · Physics 2025-12-23 Christopher Grayson , Johann Rafelski

We investigate the effect of Pauli non-locality in the heavy-ion optical potential on sub-barrier fusion reactions. The S\~{a}o Paulo potential, which takes into account the Pauli non-locality and has been widely used in analyzing elastic…

Nuclear Theory · Physics 2011-08-04 L. C. Chamon , M. S. Hussein , L. F. Canto

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

Fusion - fission probabilities in the synthesis of heaviest elements are discussed in the context of the latest experimental reports. Cross sections for superheavy nuclei are evaluated using "Fusion by Diffusion" (FBD) model. Predictive…

Complete fusion excitation functions of reactions involving breakup are studied by using the empirical coupled-channel (ECC) model with breakup effects considered. An exponential function with two parameters is adopted to describe the…

Nuclear Theory · Physics 2016-01-25 Bing Wang , Wei-Juan Zhao , Alexis Diaz-Torres , En-Guang Zhao , Shan-Gui Zhou

Fusion of two deuterons of room temperature energy is discussed. The nuclei are in vacuum with no connection to any external source (electric or magnetic field, illumination, surrounding matter, traps, etc.) which may accelerate them. The…

Nuclear Theory · Physics 2012-12-05 B. Ivlev

We systematically evaluate the potential energy at the touching configuration for heavy-ion reactions using various potential models. We point out that the energy at the touching point, especially that estimated with the Krappe-Nix-Sierk…

Nuclear Theory · Physics 2008-11-26 Takatoshi Ichikawa , Kouichi Hagino , Akira Iwamoto

Using the random matrix model, we discuss the effect of couplings to non-collective states on the penetrability of a one dimensional potential barrier. We show that these non-collective excitations hinder the penetrability and thus smear…

Nuclear Theory · Physics 2010-03-04 K. Hagino , S. Yusa , N. Rowley

We critically examine the differences among the different bare nuclear interactions used in near-barrier heavy ion fusion analysis and Coupled-Channels calculations, and discuss the possibility of extracting the barrier parameters of the…

Nuclear Theory · Physics 2015-06-17 L. F. Canto , P. R. S. Gomes , J. Lubian , M. S. Hussein , P. Lotti

Photodetachment of H$^-$ near a potential barrier is studied. A new formula is presented for the cross sections induced by a barrier. The new formula describes two quantum effects near barrier tops. For energies near and above barrier tops,…

Atomic Physics · Physics 2012-08-23 B. C. Yang , M. L. Du

An important ingredient for applications of nuclear physics to e.g. astrophysics or nuclear energy are the cross sections for reactions of neutrons with rare isotopes. Since direct measurements are often not possible, indirect methods like…

Nuclear Theory · Physics 2016-08-03 Ch. Elster , L. Hlophe , V. Eremenko , F. M. Nunes , I. J. Thompson , G. Arbanas , J. E. Escher

The measurement of light charged particles evaporated from the reaction 6,7Li+6Li has been carried out at extreme backward angle in the energy range 14 - 20 MeV. Calculations from the code ALICE91 show that the symmetry of the…

Nuclear Experiment · Physics 2007-05-23 S. Adhikari , C. Samanta , C. Basu , S. Ray , A. Chattaerjee , S. Kailas

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

We investigate the modification of discrete scale invariance in the bound state spectrum by long-range interactions. This problem is relevant for effective field theory descriptions of nuclear cluster states and manifestations of the Efimov…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , R. Higa

Modification of nuclear reactions due to impurities in plasma is investigated. The hindering effect of Coulomb repulsion between reacting particles, that is effective in direct reactions, can practically disappear if Coulomb interaction of…

General Physics · Physics 2018-01-16 Péter Kálmán , Tamás Keszthelyi

In conventional nuclear experiments a beam of accelerated nuclei collides with a target nucleus that is surrounded by other nuclei in a molecule, in condensed matter, or in a plasma environment. It is shown that for low collision energies…

Nuclear Theory · Physics 2007-05-23 M. Yu. Kuchiev , B. L. Altshuler , V. V. Flambaum

We have constructed empirical formulae for fusion and interaction barrier heights using experimental values available in the literature. Fusion excitation function measurements are used for the former and back angle quasi-elastic excitation…

Nuclear Theory · Physics 2019-01-14 D. K. Swami , Yash Kumar , T. Nandi

The fusion dynamic mechanism of heavy-ions at energies near the Coulomb barrier is complicated and still not very clear up to now. Accordingly, a self-consistent method based on the CCFULL calculations has been developed and applied for an…

Nuclear Theory · Physics 2016-12-21 N. R. Ma , H. M. Jia , C. J. Lin , L. Yang , X. X. Xu , L. J. Sun , F. Yang , Z. D. Wu , H. Q. Zhang , Z. H. Liu , D. X. Wang

In this paper we analyze the nuclear fusion rate between equal nuclei for all five different nuclear burning regimes in dense matter (two thermonuclear regimes, two pycnonuclear ones, and the intermediate regime). The rate is determined by…

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