Medium corrections in the formation of light charged particles in heavy ion reactions

Kuhrts, C.; Beyer, Michael; Danielewicz, Paweł; Röpke, G.

doi:10.1103/physrevc.63.034605

Cited by 31 publications

(30 citation statements)

References 23 publications

(60 reference statements)

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“…Transport calculations with cluster formation (see e.g., Refs. [46][47][48] and references given therein) could help to clarify this interesting issue how continuum correlations evolve in the expanding system of a HIC, and whether they decay into unbound nucleons or transform into a bound state.…”

Section: Discussionmentioning

confidence: 99%

Constraining supernova equations of state with equilibrium constants from heavy-ion collisions

et al. 2015

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Cluster formation is a fundamental aspect of the equation of state (EOS) of warm and dense nuclear matter such as can be found in supernovae (SN). Similar matter can be studied in heavy-ion collisions (HIC). We use the experimental data of Qin et al. 2012 to test calculations of cluster formation and the role of in-medium modifications of cluster properties in SN EOSs. For the comparison between theory and experiment we use chemical equilibrium constants as the main observables. This reduces some of the systematic uncertainties and allows deviations from ideal gas behavior to be identified clearly. In the analysis, we carefully account for the differences between matter in SN and HIC. We find that, at the lowest densities, the experiment and all theoretical models are consistent with the ideal gas behavior. At higher densities ideal behavior is clearly ruled out and interaction effects have to be considered. The contributions of continuum correlations are of relevance in the virial expansion and remain a difficult problem to solve at higher densities. We conclude that at the densities and temperatures discussed mean-field interactions of nucleons, inclusion of all relevant light clusters, and a suppression mechanism of clusters at high densities have to be incorporated in the SN EOS.

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Section: Discussionmentioning

confidence: 99%

Constraining supernova equations of state with equilibrium constants from heavy-ion collisions

et al. 2015

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“…Therefore, we focus on the region where E 0 3 M  . We briefly note that similar in-medium three-body equations were employed in nuclear physics [80][81][82][83][84][85][86][87]. Figure 3 shows the ground-state trimer energy E 3 M with the medium effects, which can be obtained numerically from equation (11) as a dimensionless function…”

Section: In-medium Stm Equationmentioning

confidence: 99%

Quantum chromodynamics (QCD)-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases

Tajima

Naidon

2019

New J. Phys.

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We investigate color superfluidity and trimer formation in resonantly interacting SU(3) Fermi gases with a finite interaction range. The finite range is crucial to avoid the Thomas collapse and treat the Efimov effect occurring in this system. Using the Skorniakov-Ter-Martirosian equation with medium effects, we show the effects of the atomic Fermi distribution on the Efimov trimer energy at finite temperature. We show the critical temperature of color superfluidity within the many-body T-matrix approximation. In this way, we can provide a first insight into the phase diagram as a function of the temperature T and the chemical potential μ. This phase diagram consists of trimer, normal, and colorsuperfluid phases, and is similar to that of quantum chromodynamics at finite density and temperature.

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“…[3]. Future work is necessary to devise a transport theory for HIC which is compatible with the thermodynamic properties and the EoS, described in this work, as equilibrium solution [108][109][110]. In this context it is also of interest to find optimum parameter sets {T, n B , Y p } for the reproduction of observed abundances of clusters.…”

Section: Discussionmentioning

confidence: 99%

Correlations and Clustering in Dilute Matter

Röpke¹

2017

Nuclear Particle Correlations and Cluster Physics

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Nuclear systems are treated within a quantum statistical approach. Correlations and cluster formation are relevant for the properties of warm dense matter, but the description is challenging and different approximations are discussed. The equation of state, the composition, Bose condensation of bound fermions, the disappearance of bound states at increasing density because of Pauli blocking are of relevance for different applications in astrophysics, heavy ion collisions, and nuclear structure. I. BOUND STATES IN A FERMION SYSTEMS: THE CHEMICAL PICTUREA. Structure of matterOur investigation refers to a fundamental property of matter: We can define elementary constituents (indivisible particles, Greek ) ατ oµoς) that interact. Then, the macroscopic properties are calculated within a quantum statistical approach. The interaction may lead to bound states, which can influence the properties in an essential manner and new properties may emerge. A well known example is the formation of atoms from charged particles, the electrons and the atomic nuclei. While unbound electrons and nuclei form a plasma which conducts electricity, the formation of charge-neutral atoms results in non-conducting dielectric matter. Another example is Bose-Einstein condensation which may occur when bosonic bound states are formed in a fermionic system. A well-known bosonic bound state is Helium-4, consisting of two electrons, two protons, and two neutrons. It shows superfluidity at low temperatures. Nuclear systems where Bose-Einstein condensation of α particles may occur are discussed below.Here, we consider nuclear systems consisting of neutrons and protons (and possibly electrons for charge neutrality) as constituting "elementary" particles. As a consequence of the nucleon-nucleon (N − N ) interaction, bound states, the nuclei, are formed. Examples are the light nuclei 2 H (deuteron, d), 3 H (triton, t), 3 He (helion, h), and 4 He (α particle). The fundamental interaction is the strong interaction, as described by QCD. Because the deduction of the N − N interaction from QCD is not solved at present, effective interactions are introduced which reproduce measured properties such as binding energies and scattering phase shifts. Examples are the Yukawa, Reid, Bonn, Paris, Argonne, etc., interactions, but also the separable (Yamaguchi, PEST, BEST, etc.) parametrization of the N − N interaction are available. The optimum form of the effective N − N interaction is widely discussed in nuclear physics but will not addressed in the present work.The appearance of bound states is a general feature of the structure of matter. For example, quarks form hadrons, hadrons form nuclei, nuclei together with electrons form atoms and ions, atoms form molecules. The new bound states may be considered as the elements of a statistical description of matter, what is possible as long as the energies considered are small enough so that the internal structure of the bound states is not excited. A description where the "elementary" particles and the composed bound stat...

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Medium corrections in the formation of light charged particles in heavy ion reactions

Cited by 31 publications

References 23 publications

Constraining supernova equations of state with equilibrium constants from heavy-ion collisions

Constraining supernova equations of state with equilibrium constants from heavy-ion collisions

Quantum chromodynamics (QCD)-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases

Correlations and Clustering in Dilute Matter

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