Determination of the coexistence curve, critical temperature, density, and pressure of bulk nuclear matter from fragment emission data

Elliott, J. B.; Lake, Peter T.; Moretto, L. G.; Phair, L.

doi:10.1103/physrevc.87.054622

Cited by 88 publications

(124 citation statements)

References 98 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[59,60]. In particular, the critical endpoint of the firstorder liquid-gas phase transition line was found [32] to be consistent with recent empirical determinations [61], and the low-density-high-temperature equation of state of pure neutron matter was found [33] to be in very good agreement with the model-independent virial expansion. The applications described below focus on the cold neutron star composition and equation of state, but we may anticipate future extensions to finite temperature matter employing a strategy similar to that described above.…”

Section: Nuclear Modelsupporting

confidence: 85%

Structure of neutron star crusts from new Skyrme effective interactions constrained by chiral effective field theory

Lim

Holt

2017

Phys. Rev. C

View full text Add to dashboard Cite

We investigate the structure of neutron star crusts, including the crust-core boundary, based on new Skyrme mean field models constrained by the bulk-matter equation of state from chiral effective field theory and the ground-state energies of doubly-magic nuclei. Nuclear pasta phases are studied using both the liquid drop model as well as the Thomas-Fermi approximation. We compare the energy per nucleon for each geometry (spherical nuclei, cylindrical nuclei, nuclear slabs, cylindrical holes, and spherical holes) to obtain the ground state phase as a function of density. We find that the size of the Wigner-Seitz cell depends strongly on the model parameters, especially the coefficients of the density gradient interaction terms. We employ also the thermodynamic instability method to check the validity of the numerical solutions based on energy comparisons.

show abstract

Section: Nuclear Modelsupporting

confidence: 85%

Structure of neutron star crusts from new Skyrme effective interactions constrained by chiral effective field theory

Lim

Holt

2017

Phys. Rev. C

View full text Add to dashboard Cite

show abstract

“…The values of T c and n c are in a reasonably good agreement with the recent experimental estimates of Ref. [44]. The critical pressure appears to be rather notably overestimated by the VDW model, which yields p c = 0.52 MeV/fm 3 .…”

Section: B Phase Diagram and The Liquid-gas Transitionsupporting

confidence: 78%

“…Also listed are the predictions of the Walecka model (taken from [43]), as well as the recent experimental estimates of Ref. [44]. The phase transition lines µ = µ mix (T ) are exhibited in Fig.…”

Section: B Phase Diagram and The Liquid-gas Transitionmentioning

confidence: 99%

Equations of state for real gases on the nuclear scale

Vovchenko

2017

Phys. Rev. C

View full text Add to dashboard Cite

The formalism to augment the classical models of equation of state for real gases with the quantum statistical effects is presented. It allows an arbitrary excluded volume procedure to model repulsive interactions, and an arbitrary density-dependent mean field to model attractive interactions. Variations on the excluded volume mechanism include van der Waals (VDW) and Carnahan-Starling models, while the mean fields are based on VDW, Redlich-Kwong-Soave, Peng-Robinson, and Clausius equations of state. The VDW parameters of the nucleon-nucleon interaction are fitted in each model to the properties of the ground state of nuclear matter, and the following range of values is obtained: a = 330 − 430 MeV fm 3 and b = 2.5 − 4.4 fm 3 . In the context of the excluded-volume approach, the fits to the nuclear ground state disfavor the values of the effective hard-core radius of a nucleon significantly smaller than 0.5 fm, at least for the nuclear matter region of the phase diagram. Modifications to the standard VDW repulsion and attraction terms allow to improve significantly the value of the nuclear incompressibility factor K0, bringing it closer to empirical estimates. The generalization to include the baryon-baryon interactions into the hadron resonance gas model is performed. The behavior of the baryon-related lattice QCD observables at zero chemical potential is shown to be strongly correlated to the nuclear matter properties: an improved description of the nuclear incompressibility also yields an improved description of the lattice data at µ = 0.

show abstract

“…In that case, the basic principles of the analysis are absolutely the same as in the physics of ordinary liquids. The description of the formation of clusters is based [49] on the Gibbs balance equation for the free energy G:…”

Section: Thermodynamics Of Heavy Ion Collisionsmentioning

confidence: 99%

“…Particularly important are those corrections in the interpretation of multifragmentation experiments [80,[83][84][85], in which light nuclei necessarily appear. The exponential dependence of the yield of fragments on the surface tension makes this process sensitive to the curvature corrections [49,86]. Other important phenomena that may be affected by changes in the surface tension due to curvature corrections are: a) the appearance of the neck region in the fission processes and b) the hydrodynamic instability of the structures formed in heavy ion experiments governed by surface effects [69,87].…”

Section: Surface Effects In Nuclear Matter: Macroscopic Descriptionmentioning

confidence: 99%

Common Approaches in Description of Ordinary Liquids

Cherevko¹,

Jenkovszky

Zhang

et al. 2015

Ukr. J. Phys.

View full text Add to dashboard Cite

This work is an attempt to give a brief overview of the implementation of the statistical thermodynamics to hadronic matter. The possibility to use the hydrodynamic approach for developing the physical model of the formation of exotic structures in the head-on intermediate-energy heavy ion collisions is discussed. That approach is shown to be able to provide simple analytical expressions describing each step of the collision process. This allows for extracting the data concerning nuclear matter properties (surface tension, compressibility, etc.) from the properties of observed fragments. The advantages of the thermodynamic analysis of phase trajectories of the system in heavy ion collisions are discussed. Within the thermodynamic approach, the method to evaluate the curvature correction to the surface tension from the nuclear matter equation of state is described. The possibility to use statistical thermodynamics in the studies of hadronic matter and quantum liquids is discussed.

show abstract

Determination of the coexistence curve, critical temperature, density, and pressure of bulk nuclear matter from fragment emission data

Cited by 88 publications

References 98 publications

Structure of neutron star crusts from new Skyrme effective interactions constrained by chiral effective field theory

Structure of neutron star crusts from new Skyrme effective interactions constrained by chiral effective field theory

Equations of state for real gases on the nuclear scale

Common Approaches in Description of Ordinary Liquids

Contact Info

Product

Resources

About