Quantal nucleon diffusion: Central collisions of symmetric nuclei

Ayık, S.; Yılmaz, O.; Yilmaz, B.; Umar, A. S.

doi:10.1103/physrevc.94.044624

Cited by 21 publications

(23 citation statements)

References 50 publications

(114 reference statements)

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“…(18) and definition of flow velocities, we refer the reference [48]. There is a close analogy between the quantal expression and the classical diffusion coefficient in a random walk problem [46,47,55].…”

Section: Transport Coefficients For Nucleon Exchange a Quantal mentioning

confidence: 99%

“…Nucleon diffusion description, developed from the SMF approach in Ref. [48], is suitable for collisions in which a dinuclear structure is maintained during the entire reaction. There is a range of low bombarding energies in which dinuclear structure is maintained in 238 U + 238 U collisions for different geometric orientations.…”

Section: Nucleon Diffusion Descriptionmentioning

confidence: 99%

“…(19) of Ref. [48], when the closure relation is employed over the complete set of states originating from the projectile, the flow velocity is taken as the flow velocity of each hole state originating from target, and similarly when the closure relation is employed for the complete set of states originating from target, the flow velocity is taken as the flow velocity of each hole state originating from target. Consequently, main contribution to nucleon diffusion arises from the nucleon exchanges around the Fermi surface.…”

Section: Transport Coefficients For Nucleon Exchange a Quantal mentioning

confidence: 99%

“…In most application, this approach has been applied to the nucleon diffusion mechanism in the semi-classical limit and by ignoring the memory effects. In a recent work, we were able to deduce the quantal diffusion coefficients for nucleon exchange in the central collisions of heavy-ions [48] from the SMF approach. The quantal transport coefficients include the effect of shell structure, take into account the full geometry of the collision process, and incorporate the effect of Pauli blocking exactly.…”

Section: Introductionmentioning

confidence: 99%

“…The quantal transport coefficients include the effect of shell structure, take into account the full geometry of the collision process, and incorporate the effect of Pauli blocking exactly. We applied the quantal diffusion approach and carried out calculations for the variance of neutron and proton distributions of the outgoing fragments in the central collisions of several symmetric heavy-ion systems at bombarding energies slightly below the fusion barriers [48]. In this work we carry out quantal nucleon diffusion calculations and determine the primary fragment mass and charge distributions in the central collisions of 238 U + 238 U system in side-side and tip-tip configurations.…”

Section: Introductionmentioning

confidence: 99%

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Multinucleon transfer in central collisions of U238+U238

et al. 2017

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Quantal diffusion mechanism of nucleon exchange is studied in the central collisions of 238 U + 238 U in the framework of the stochastic mean-field (SMF) approach. For bombarding energies considered in this work, the di-nuclear structure is maintained during the collision. Hence, it is possible to describe nucleon exchange as a diffusion process for mass and charge asymmetry. Quantal neutron and proton diffusion coefficients, including memory effects, are extracted from the SMF approach and the primary fragment distributions are calculated.

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Section: Transport Coefficients For Nucleon Exchange a Quantal mentioning

confidence: 99%

Section: Nucleon Diffusion Descriptionmentioning

confidence: 99%

Section: Transport Coefficients For Nucleon Exchange a Quantal mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multinucleon transfer in central collisions of U238+U238

et al. 2017

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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

163

103

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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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Time-dependent mean-field investigations of the quasifission process

2017

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Abstract. We demonstrate that the microscopic Time-dependent Hartree-Fock (TDHF) theory provides an important approach to shed light on the nuclear dynamics leading to the formation of superheavy elements. In particular, we discuss studying quasifission dynamics and calculating ingredients for compound nucleus formation probability calculations. We also discuss possible extensions to TDHF to address the distribution of observables.

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Quantal nucleon diffusion: Central collisions of symmetric nuclei

Cited by 21 publications

References 50 publications

Multinucleon transfer in central collisions of U238+U238

Multinucleon transfer in central collisions of U238+U238

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

Time-dependent mean-field investigations of the quasifission process

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