Fractional exclusion statistics applied to relativistic nuclear matter

Anghel, Dragos-Victor; Parvan, A.S.; Khvorostukhin, A. S.

doi:10.1016/j.physa.2011.12.003

Cited by 7 publications

(3 citation statements)

References 33 publications

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“…For the isospin symmetric nuclear matter ε b0 = −16 MeV and ρ 0 = 0.16 fm −3 , respectively [44]. We obtain [54]…”

Section: Relativistic Mean-field Hadronic Modelmentioning

confidence: 81%

Caloric curve for nuclear liquid–gas phase transition in relativistic mean-field hadronic model

Parvan

2012

Nuclear Physics A

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The main thermodynamical properties of the first order phase transition of the relativistic meanfield (RMF) hadronic model were explored in the isobaric, the canonical and the grand canonical ensembles on the basis of the method of the thermodynamical potentials and their first derivatives. It was proved that the first order phase transition of the RMF model is the liquid-gas type one associated with the Gibbs free energy G. The thermodynamical potential G is the piecewise smooth function and its first order partial derivatives with respect to variables of state are the piecewise continuous functions. We have found that the energy in the caloric curve is discontinuous in the isobaric and the grand canonical ensembles at fixed values of the pressure and the chemical potential, respectively, and it is continuous, i.e. it has no plateau, in the canonical and microcanonical ensembles at fixed values of baryon density, while the baryon density in the isotherms is discontinuous in the isobaric and the canonical ensembles at fixed values of the temperature. The general criterion for the nuclear liquid-gas phase transition in the canonical ensemble was identified.

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“…For the isospin symmetric nuclear matter ε b0 = −16 MeV and ρ 0 = 0.16 fm −3 , respectively [44]. We obtain [54]…”

Section: Relativistic Mean-field Hadronic Modelmentioning

confidence: 81%

Caloric curve for nuclear liquid–gas phase transition in relativistic mean-field hadronic model

Parvan

2012

Nuclear Physics A

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“…Whereas a five-percent difference in the proton radius could trigger a strong controversy in hadronic studies, it is quite ironic to realize that in the nuclear and neutron star matter investigations protons and neutrons are traditionally considered as "point particles". Effects of the nucleon structures are only considered in the so-called excluded volume effect (EVE) model [33][34][35][36][37][38][39]. In this model the total volume occupied by N nucleons, i.e.…”

Section: Introductionmentioning

confidence: 99%

Nonidentical protons

Mart

Sulaksono

2013

Phys. Rev. C

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We have calculated the proton charge radius by assuming that the real proton radius is not unique and the radii are randomly distributed in a certain range. This is performed by averaging the elastic electron-proton differential cross section over the form factor cut-off. By using a dipole form factor and fitting the middle value of the cut-off to the low $Q^2$ Mainz data, we found the lowest $\chi^2/N$ for a cut-off $\Lambda=0.8203\pm 0.0003$ GeV, which corresponds to a proton charge radius $r_E=0.8333\pm 0.0004$ fm. The result is compatible with the recent precision measurement of the Lamb shift in muonic hydrogen as well as recent calculations using more sophisticated techniques. Our result indicates that the relative variation of the form factor cut-off should be around 21.5%. Based on this result we have investigated effects of the nucleon radius variation on the symmetric nuclear matter (SNM) and the neutron star matter (NSM) by considering the excluded volume effect in our calculation. The mass-radius relation of neutron star is found to be sensitive to this variation. The nucleon effective mass in the SNM as well as the equation of state of both the SNM and the NSM exhibit a similar sensitivity.Comment: 23 pages, 12 figure

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“…Methods involving fractional statistics concepts proved to be successful in the studies of the fractional quantum Hall effect, hightemperature superconductivity [14], interacting systems in low dimensions [15,16], cold atomic gases [17], in the analysis of nuclear matter [18] and even in models of dark matter [19]. Nonextensive generalizations for Bose-Einstein and Fermi-Dirac statistics were also developed [20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Weakly nonadditive Polychronakos statistics

Rovenchak

2014

Phys. Rev. A

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A two-parametric fractional statistics is proposed, which can be used to model a weakly-interacting Bose-system. It is shown that the parameters of the introduced weakly nonadditive Polychronakos statistics can be linked to effects of interactions as well as finite-size corrections. The calculations of the specific heat and condensate fraction of the model system corresponding to harmonically trapped Rb-87 atoms are made. The behavior of the specific heat of three-dimensional isotropic harmonic oscillators with respect to the values of the statistics parameters is studied in the temperature domain including the BEC-like phase transition point.Comment: 19 pages, 4 figure

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Fractional exclusion statistics applied to relativistic nuclear matter

Cited by 7 publications

References 33 publications

Caloric curve for nuclear liquid–gas phase transition in relativistic mean-field hadronic model

Caloric curve for nuclear liquid–gas phase transition in relativistic mean-field hadronic model

Nonidentical protons

Weakly nonadditive Polychronakos statistics

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