Near- and sub-barrier fusion of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>20</mml:mn></mml:msup></mml:math>O incident ions with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>12</mml:mn></mml:msup></mml:math>C target nuclei

Rudolph, M.; Gosser, Z.Q.; Brown, K. W.; Hudan, S.; Souza, R. T. de; Chbihi, A.; Jacquot, B.; Famiano, M.; Liang, J. F.; Shapira, D.; Mercier, D.

doi:10.1103/physrevc.85.024605

Cited by 23 publications

(9 citation statements)

References 13 publications

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“…It can be clearly seen that the nuclear density plays a significant role in the fusion cross section, having much more impact than the sensitivity to the short-range physics. The results obtained with electron-scattering densities show excellent agreement with experimental data [47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62], in contrast to the S factors calculated with two-parameter Fermi densities, which describe the experiment only qualitatively. We find that the use of realistic densities is crucial to reproduce the data.…”

Section: Fusionsupporting

confidence: 73%

Dispersion relations applied to double-folding potentials from chiral effective field theory

2020

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We present a determination of optical potentials using the double-folding method based on chiral effective field theory nucleon-nucleon interactions at next-to-next-to-leading order combined with dispersion relations to constrain the imaginary part. This approach is benchmarked on 16 O − 16 O collisions, and extended to the 12 C − 12 C and 12 C − 16 O cases. Predictions derived from these potentials are compared to data for elastic scattering at energies up to 1000 MeV, as well as for fusion at low energy. Without adjusting parameters, excellent agreement with experiment is found. In addition, we study the sensitivity of the corresponding cross sections to the nucleon-nucleon interactions and nuclear densities used.

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Section: Fusionsupporting

confidence: 73%

Dispersion relations applied to double-folding potentials from chiral effective field theory

2020

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“…DCTDHF calculations predict a large enhancement of fusion with neutron-rich light nuclei, such as 24 O+ 16 O [94] which could have an impact on reaction rates in dense stellar matter such as neutron star crusts [137]. In the same mass region, the reaction 20 O+ 12 C has been measured [138] and compared with DCTDHF calculations [139]. While for this system the calculations underestimate the fusion cross-sections, it is interesting to note that a good agreement is obtained for the 19 O+ 12 C system [140].…”

Section: -8mentioning

confidence: 97%

Heavy-ion collisions and fission dynamics with the time-dependent Hartree–Fock theory and its extensions

Simenel

Umar

2018

Progress in Particle and Nuclear Physics

162

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Microscopic methods and tools to describe nuclear dynamics have considerably been improved in the past few years. They are based on the time-dependent Hartree-Fock (TDHF) theory and its extensions to include pairing correlations and quantum fluctuations. The TDHF theory is the lowest level of approximation of a range of methods to solve the quantum many-body problem, showing its universality to describe manyfermion dynamics at the mean-field level. The range of applications of TDHF to describe realistic systems allowing for detailed comparisons with experiment has considerably increased. For instance, TDHF is now commonly used to investigate fusion, multi-nucleon transfer and quasi-fission reactions. Thanks to the inclusion of pairing correlations, it has also recently led to breakthroughs in our description of the saddle to scission evolution, and, in particular, the non-adiabatic effects near scission. Beyond mean-field approaches such as the time-dependent random-phase approximation (TDRPA) and stochastic meanfield methods have reached the point where they can be used for realistic applications. We review recent progresses in both techniques and applications to heavy-ion collision and fission. Introduction: nuclear quantum many-body dynamicsThe quantum many-body problem is vital to many areas of physics. Indeed, the description of complex quantum objects of interacting particles is of interests for many physical systems, from quarks and gluons in a nucleon to macromolecules, such as fullerenes, to Bose-Einstein condensates. Consequently, major developments in the description of quantum many-body systems are often of interest to many different fields. For instance, the BCS theory introduced to describe superconductivity [1] is also widely used in nuclear physics to incorporate the effect of pairing correlations. Similarly, the tools used to study low-energy fusion with multi-channel tunneling [2] are also used to describe dissociative adsorption of molecules on a surface [3].The similarity between dynamical processes in quantum many-body systems, whether their constituents are nucleons, electrons, or atoms, is quite striking. It is possible to make such systems vibrate, rotate, fuse, transfer particles, fission and break up. This is of course true for nuclear systems, where each of these processes can be used to learn about specific aspects of quantum many-body dynamics. For instance, the study of nuclear vibrations tells us how single-particles can produce collective motion, what is its interplay with the underlying shell structure, what are the source of non-linearities leading to anharmonicities, and how collective modes get damped and decay. These concepts and many others can also be studied via heavy-ion collisions:1 In the case of a time-independent Hamiltonian, we haveF H (t) = e iĤt/ F e −iĤt/ . 2 Of course, nucleons are indistinguishable fermions and there is no guarantee that the nucleon which is annihilated is the same as the one which is created. In fact, the question of "which one" is created or a...

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“…Most recently, we have investigated sub-barrier fusion and pre-equilibrium giant resonance excitation between various tin + calcium isotopes [56,57] and calcium + calcium isotopes [20]. Finally, we have studied sub-barrier fusion reactions between both stable and neutron-rich isotopes of oxygen and carbon [58][59][60] that occur in the neutron star crust. In all cases, we have found good agreement between the measured fusion cross sections and the DC-TDHF results.…”

Section: Fusion Calculations For Neutron-rich and Stable Nucleimentioning

confidence: 99%

Density constrained TDHF

Oberacker¹,

Umar²

2019

Frontiers in Nuclear and Particle Physics

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In this manuscript we provide an outline of the numerical methods used in implementing the density constrained time-dependent Hartree-Fock (DC-TDHF) method and provide a few examples of its application to nuclear fusion. In this approach, dynamic microscopic calculations are carried out on a three-dimensional lattice and there are no adjustable parameters, the only input is the Skyrme effective NN interaction. After a review of the DC-TDHF theory and the numerical methods, we present results for heavy-ion potentials V (R), coordinate-dependent mass parameters M (R), and precompound excitation energies E * (R) for a variety of heavy-ion reactions. Using fusion barrier penetrabilities, we calculate total fusion cross sections σ(E c.m. ) for reactions between both stable and neutron-rich nuclei. We also determine capture cross sections for hot fusion reactions leading to the formation of superheavy elements.keywords: TDHF, DC-TDHF, heavy-ion fusion, neutron-rich nuclei, superheavy elements * To be published as a commemorative ebook focusing on the field of nuclear reaction theory and on the work related to Prof. Joachim Maruhn.

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Near- and sub-barrier fusion of20O incident ions with12C target nuclei

Cited by 23 publications

References 13 publications

Dispersion relations applied to double-folding potentials from chiral effective field theory

Dispersion relations applied to double-folding potentials from chiral effective field theory

Heavy-ion collisions and fission dynamics with the time-dependent Hartree–Fock theory and its extensions

Density constrained TDHF

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