Intermediate-Energy Heavy-Ion Collisions and Studies with Transport Models

A special issue of Universe (ISSN 2218-1997). This special issue belongs to the section "High Energy Nuclear and Particle Physics".

Deadline for manuscript submissions: closed (31 January 2023) | Viewed by 8734

Special Issue Editors


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Guest Editor
School of Physics Science and Engineering, Institute for Advanced Study, Tongji University, Shanghai 200092, China
Interests: heavy-ion collisions; theoretical nuclear physics

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Guest Editor
China Institute of Atomic Energy, Beijing 102413, China
Interests: heavy-ion collisions; theoretical nuclear physics

Special Issue Information

Dear Colleagues,

Intermediate-energy heavy-ion collisions provide an opportunity to study the dynamics of heavy-ion collisions and nuclear interactions dominated by nucleon degree of freedom. Transport models are among the essential tools that can be used to extract the nuclear matter equation of state (EOS), as well as the symmetry energy (Esym), at a wide range of densities from potential experiments. The extracted information on the EOS and Esym is important in understanding many astrophysical observables, including those related to neutron star properties and their mergers. In the past few decades, great achievements have been made in terms of describing heavy-ion collisions and constraining the nuclear matter EOS and Esym with various probes—e.g., neutron proton yield ratios, collective flows, π-+ yield ratios, etc. However, the dependence of models on the constraints of EOS and Esym still exists and needs to be both understood well and reduced. Such model dependence may originate from different treatments of the initialization, mean-field potential, elastic and inelastic collisions, Pauli blocking, Coulomb potential, etc., in each transport model and should be optimized. Meanwhile, there have been attempts to incorporate additional dimensions of physics or techniques, such as short-range correlations, off-shell dynamics, particle subdivisions, phase-space constraints, etc., into the traditional frameworks of transport models. Of course, studies on intermediate-energy heavy-ion collisions have not been limited to those based on transport simulations, and additional useful information can also be extracted from other approaches, e.g., statistical models, etc. Indeed, the applications of transport models are not confined to intermediate-energy heavy-ion collisions, and any improvements on transport simulations can be extended to many other research fields, such as relativistic heavy-ion collisions, plasma physics, and radiation of heavy ions in materials, etc. This Special Issue aims to collect various advancements in constraining nuclear matter EOS and Esym from intermediate-energy heavy-ion collisions via transport models or other approaches, efforts in understanding and reducing a model’s dependence on transport simulations, applications of transport models in other research fields, and attempts to incorporate new concepts from physics and techniques into traditional transport frameworks.

Prof. Dr. Jun Xu
Prof. Dr. Yingxun Zhang
Guest Editors

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Keywords

  • nuclear matter equation of state
  • nuclear symmetry energy
  • intermediate-energy heavy-ion collisions
  • transport model evaluation/comparison
  • new physics or techniques in transport simulations

Published Papers (8 papers)

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Research

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12 pages, 1260 KiB  
Article
Probing the Neutron Skin of Unstable Nuclei with Heavy-Ion Collisions
by Junping Yang, Xiang Chen, Ying Cui, Zhuxia Li and Yingxun Zhang
Universe 2023, 9(5), 206; https://doi.org/10.3390/universe9050206 - 25 Apr 2023
Viewed by 1134
Abstract
To improve the constraints of symmetry energy at subsaturation density, measuring and accumulating more neutron skin data for neutron-rich unstable nuclei is naturally required. Aiming to probe the neutron skin of unstable nuclei by using low-intermediate-energy heavy-ion collisions, we develop a new version [...] Read more.
To improve the constraints of symmetry energy at subsaturation density, measuring and accumulating more neutron skin data for neutron-rich unstable nuclei is naturally required. Aiming to probe the neutron skin of unstable nuclei by using low-intermediate-energy heavy-ion collisions, we develop a new version of an improved quantum molecular dynamics model, in which the neutron skin of the initial nucleus and the mean-field potential in nucleon propagation are consistently treated. Our calculations show that the three observables, such as the cross-sections of the primary projectile-like residues with A>100 (σA>100), the difference of σA>100 between 132Sn + 124Sn and 124Sn + 124Sn systems (δσA>100), and the neutron-to-proton yield ratio (R(n/p)) in the transverse direction, could be used to measure the neutron skin of the unstable nuclei and to constrain the slope of the symmetry energy in the future. Full article
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14 pages, 763 KiB  
Article
Pauli Exclusion Classical Potential for Intermediate-Energy Heavy-Ion Collisions
by Claudio O. Dorso, Guillermo Frank and Jorge A. López
Universe 2023, 9(3), 119; https://doi.org/10.3390/universe9030119 - 25 Feb 2023
Viewed by 741
Abstract
This article presents a classical potential used to describe nucleon–nucleon interactions at intermediate energies. The potential depends on the relative momentum of the colliding nucleons and can be used to describe interactions at low momentum transfer mimicking the Pauli exclusion principle. We use [...] Read more.
This article presents a classical potential used to describe nucleon–nucleon interactions at intermediate energies. The potential depends on the relative momentum of the colliding nucleons and can be used to describe interactions at low momentum transfer mimicking the Pauli exclusion principle. We use the potential with molecular dynamics to study finite nuclei, their binding energy, radii, symmetry energy, and a case study of collisions. Full article
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9 pages, 339 KiB  
Communication
Beam Energy Dependence of the Linear and Mode-Coupled Flow Harmonics Using the a Multi-Phase Transport Model
by Niseem Magdy
Universe 2023, 9(2), 107; https://doi.org/10.3390/universe9020107 - 18 Feb 2023
Cited by 2 | Viewed by 708
Abstract
In the framework of the A Multi-Phase Transport (AMPT) model, the multi-particle azimuthal cumulant method is used to calculate the linear and mode-coupled contributions to the quadrangular flow harmonic (v4) and the mode-coupled response coefficient as functions of centrality in [...] Read more.
In the framework of the A Multi-Phase Transport (AMPT) model, the multi-particle azimuthal cumulant method is used to calculate the linear and mode-coupled contributions to the quadrangular flow harmonic (v4) and the mode-coupled response coefficient as functions of centrality in Au+Au collisions at sNN = 200, 39, 27 and 19.6 GeV. This study indicates that the linear and mode-coupled contributions to v4 are sensitive to beam energy change. Nevertheless, the correlations between different-order flow symmetry planes and the mode-coupled response coefficients show weak beam energy dependence. In addition, the presented results suggest that the experimental measurements that span a broad range of beam energies can be an additional constraint for the theoretical model calculations. Full article
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14 pages, 494 KiB  
Article
Revisiting Angular Momentum Conservation in Transport Simulations of Intermediate-Energy Heavy-Ion Collisions
by Rong-Jun Liu and Jun Xu
Universe 2023, 9(1), 36; https://doi.org/10.3390/universe9010036 - 3 Jan 2023
Cited by 3 | Viewed by 986
Abstract
Based on the well-calibrated IBUU transport model, we have studied the dynamical effect of incorporating rigorous angular momentum conservation in each collision of particles with homework setups. The constraint of the rigorous angular momentum conservation requires in-plane collisions and side jumps of particles [...] Read more.
Based on the well-calibrated IBUU transport model, we have studied the dynamical effect of incorporating rigorous angular momentum conservation in each collision of particles with homework setups. The constraint of the rigorous angular momentum conservation requires in-plane collisions and side jumps of particles after their collision. Since the option is not unique, we have compared two typical prescriptions with the original one. While the results depend quantitatively on the choice of the prescription, we found that the angular momentum conservation generally reduces local density fluctuations and thus the collision rate and may have some influence on the density evolution, the collective flow, and even the pion production in transport simulations of intermediate-energy heavy-ion collisions. Full article
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13 pages, 1294 KiB  
Article
Pion Productions with Isospin-Dependent In-Medium Cross Sections
by Myungkuk Kim, Youngman Kim, Sangyong Jeon and Chang-Hwan Lee
Universe 2022, 8(11), 564; https://doi.org/10.3390/universe8110564 - 27 Oct 2022
Viewed by 1027
Abstract
Total pion yields and π/π+ ratios in two Sn+Sn collision systems, 132Sn+124Sn (neutron rich) and 108Sn+112Sn (neutron poor) at E=270A MeV, are significant observables in SAMURAI Pion-Reconstruction and Ion-Tracker (S [...] Read more.
Total pion yields and π/π+ ratios in two Sn+Sn collision systems, 132Sn+124Sn (neutron rich) and 108Sn+112Sn (neutron poor) at E=270A MeV, are significant observables in SAMURAI Pion-Reconstruction and Ion-Tracker (SπRIT) experiments. Based on a recently developed transport model, DaeJeon Boltzmann–Uehling–Uhlenbeck (DJBUU), we investigate the isospin-dependent inmedium effects by including density- and isospin-dependent cross sections for Δ baryon productions. We compare our results with the SπRIT data by considering these effects. We find that the yields as well as the ratios strongly depend on the in-medium effect, especially isospin-dependent in-medium cross sections for Δ resonances. Full article
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10 pages, 712 KiB  
Article
Nuclear Bubble Configuration in Heavy-Ion Collisions
by Kyungil Kim, Sangyong Jeon, Chang-Hwan Lee and Youngman Kim
Universe 2022, 8(10), 499; https://doi.org/10.3390/universe8100499 - 22 Sep 2022
Viewed by 1157
Abstract
We study the effects of a bubble configuration in a nucleus on heavy-ion collisions at a few tens and hundreds A MeV. We first investigate the bubble structure of 206Hg using the relativistic continuum Hartree–Bogoliubov theory and then study the 206Hg [...] Read more.
We study the effects of a bubble configuration in a nucleus on heavy-ion collisions at a few tens and hundreds A MeV. We first investigate the bubble structure of 206Hg using the relativistic continuum Hartree–Bogoliubov theory and then study the 206Hg + 208Pb and 206Hg+206Hg reactions using the DaeJeon–Boltzmann–Uehling–Uhlenbeck (DJBUU) transport model. To see the role of the bubble structure, we consider the maximum density of the produced nuclear matter, directed flow of neutrons and protons, and π/π+ ratio. We observe that the maximum density is smaller with a bubble nucleus, and the directed flow of nucleons and π/π+ ratio may depend on the bubble structure. Full article
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9 pages, 569 KiB  
Article
Effects of Initial Density Fluctuations on Cumulants in Au + Au Collisions at sNN = 7.7 GeV
by Xiaoqing Yue, Yongjia Wang, Qingfeng Li and Fuhu Liu
Universe 2022, 8(9), 491; https://doi.org/10.3390/universe8090491 - 18 Sep 2022
Cited by 1 | Viewed by 1220
Abstract
Within the ultrarelativistic quantum molecular dynamics (UrQMD) model, the effect of initial density fluctuations on cumulants of the net-proton multiplicity distribution in Au + Au Collisions at sNN = 7.7 GeV was investigated by varying the minimum distance dmin between [...] Read more.
Within the ultrarelativistic quantum molecular dynamics (UrQMD) model, the effect of initial density fluctuations on cumulants of the net-proton multiplicity distribution in Au + Au Collisions at sNN = 7.7 GeV was investigated by varying the minimum distance dmin between two nucleons in the initialization. It was found that the initial density fluctuations increased with the decrease of dmin from 1.6 fm to 1.0 fm, and the influence of dmin on the magnitude of the net-proton number fluctuation in a narrow pseudorapidity window (Δη 4) was negligible even if it indeed affected the density evolution during the collision. At a broad pseudorapidity window (Δη 4), the cumulant ratios were enlarged when the initial density fluctuations were increased with the smaller value of dmin, and this enhancement was comparable to that observed in the presence of the nuclear mean-field potential. Moreover, the enhanced cumulants were more evident in collisions with a larger impact parameter. The present work demonstrates that the fingerprint of the initial density fluctuations on the cumulants in a broad pseudorapidity window is clearly visible, while it is not obvious as the pseudorapidity window becomes narrow. Full article
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Review

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17 pages, 5066 KiB  
Review
Improved Quantum Molecular Dynamics Model and Its Application to Ternary Breakup Reactions
by Junlong Tian, Xian Li and Cheng Li
Universe 2022, 8(11), 555; https://doi.org/10.3390/universe8110555 - 25 Oct 2022
Viewed by 920
Abstract
Collisions of very heavy nuclei 197Au+197Au at the energy range of 5–30 A MeV have been studied within the improved quantum molecular dynamics (ImQMD) model. A class of ternary events satisfying a nearly complete balance of mass numbers is selected [...] Read more.
Collisions of very heavy nuclei 197Au+197Au at the energy range of 5–30 A MeV have been studied within the improved quantum molecular dynamics (ImQMD) model. A class of ternary events satisfying a nearly complete balance of mass numbers is selected and we find that the probability of ternary breakup depends on the incident energy and the impact parameter. It is also found that the largest probability of ternary breakup is located at the energy around 24 A MeV for the system 197Au+197Au. The experimental mass distributions and angular distributions for the system 197Au+197Au ternary breakup fragments can be reproduced well by the calculation with the ImQMD model at the energy of 15 A MeV. The modes and mechanisms of ternary and quaternary breakup are studied by time-dependent snapshots of ternary events. The direct prolate, direct oblate, and cascade ternary breakup modes, are manifested and their production probabilities are obtained. The characteristic features in ternary breakup events, three mass-comparable fragments, and the very fast, nearly collinear breakup, account for the two-preformed-neck shape of the composite system. The mean free path of nucleons in the reaction system is studied and the shorter mean free path is responsible for the ternary breakup with three mass comparable fragments, in which the two-body dissipation mechanism plays a dominant role. Full article
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