Constraining supernova equations of state with equilibrium constants from heavy-ion collisions
arXiv:1503.00518 · doi:10.1103/PhysRevC.91.045805
Abstract
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 (SNe). Similar matter can be studied in heavy-ion collisions (HIC). We use the experimental data of Qin et al. [Phys. Rev. Lett. 108, 172701 (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 SNe and HICs. 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.
20 pages, 15 figures, v2: matches published version, only minor editorial corrections
References in corpus (13)
- Symmetry energy of dilute warm nuclear matter
- Light nuclei quasiparticle energy shift in hot and dense nuclear matter
- A Second Relativistic Mean Field and Virial Equation of State for Astrophysical Simulations
- Influence of light nuclei on neutrino-driven supernova outflows
- Appearance of Light Clusters in Post-bounce Evolution of Core-Collapse Supernovae
- Statistical description of complex nuclear phases in supernovae and proto-neutron stars
- A comparative study of statistical models for nuclear equation of state of stellar matter
- Neutrino Breakup of A=3 Nuclei in Supernovae
- Cluster virial expansion for nuclear matter within a quasiparticle statistical approach
- In-medium nuclear cluster energies within the Extended Thomas-Fermi approach
- Description of light clusters in relativistic nuclear models
- Nucleation and cluster formation in low-density nucleonic matter: A mechanism for ternary fission
- Clustering in nuclear environment
Cited by in corpus (12)
- Nuclear equation of state for core-collapse supernova simulations with realistic nuclear forces
- Dynamics of clusters and fragments in heavy-ion collisions
- A new equation of state for core-collapse supernovae based on realistic nuclear forces and including a full nuclear ensemble
- Nucleon self-energies for supernova equations of state
- Full distribution of clusters with universal couplings and in-medium effects
- Low density nuclear matter with light clusters in a generalized nonlinear relativistic mean-field model
- Towards generating a new supernova equation of state: A systematic analysis of cold hybrid stars
- Asymmetric Nuclear Light Clusters In Supernova Matter
- Improved method for the experimental determination of in-medium effects from heavy-ion collisions
- How Well Do We Know The Supernova Equation of State?
- Light hyperclusters and hyperons in low-density hot stellar matter
- Temperature and Density Conditions for Alpha Clustering in Excited Self-Conjugate Nuclei