Thermodynamical properties and Coulomb instabilities in hot nuclear systems with the Gogny interaction

Zhang, Yijun; Su, Ru-Keng; Song, Hongqiang; Lin, Feng

doi:10.1103/physrevc.54.1137

Cited by 32 publications

(29 citation statements)

References 28 publications

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“…From these observations the authors extracted the critical temperature of infinite nuclear matter T c = 16.6±0.86 MeV [19]. Their results show that the limiting temperature is in good agreement with the previous calculations employing either a chiral symmetric model [20] or the Gogny interaction [8].…”

Section: Introductionsupporting

confidence: 71%

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Liquid–gas phase transition and Coulomb instability of asymmetric nuclear systems

et al. 2005

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We use a chiral SU (3) quark mean field model to study the properties of nuclear systems at finite temperature. The liquid-gas phase transition of symmetric and asymmetric nuclear matter is discussed. For two formulations of the model the critical temperature, T c , for symmetric nuclear matter is found to be 15.8 MeV and 17.9 MeV. These values are consistent with those derived from recent experiments. The limiting temperatures for finite nuclei are in good agreement with the experimental points.

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Section: Introductionsupporting

confidence: 71%

“…Pseudoscalar and scalar mesons as well as the dilaton field, χ, obtain mass terms by spontaneous breaking of chiral symmetry in the Lagrangian (8). The masses of the u, d and s quarks are generated by the vacuum expectation values of the two scalar mesons σ and ζ.…”

Section: The Modelmentioning

confidence: 99%

Liquid–gas phase transition and Coulomb instability of asymmetric nuclear systems

et al. 2005

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“…Recently, nuclear equation of state (EOS) is of great interest in nuclear physics and astrophysics( [1] - [3]). Specially, in the calculation of nuclear many body problem such as liquid gas phase transition [4,5] at low density and finite temperature.…”

Section: Introductionmentioning

confidence: 99%

Hot nuclear matter in asymmetry chiral sigma model

et al. 2004

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In the frame work of SU(2) chiral sigma model, the nuclear matter properties at zero and finite temperature have been investigated. We have analyzed the nuclear matter equation of state by varying different parameters, which agrees well with the one derived from the heavy-ion collision experiment at extreme densities and reliable realistic(DBHF) model at low density region. We have then calculated the temperature dependent asymmetric nuclear matter, also investigated the critical temperature of liquid gas phase transition and compared with the experimental data. We found that the critical temperature in our model is in the range of 14−20 MeV.

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“…As previously noted, they are observed to decrease with increasing mass. This decrease with increasing mass has long been predicted as resulting from Coulomb Instabilities of expanded and heated nuclei [25,26,27,28,29,30,31,32,33,34,35].The results employed in reference [24] were based upon temperature determinations derived from double isotope yield ratios and from slope measurements of particle spectra. More recently the TAPS Collaboration has reported temperatures determined from a new technique, observations of "second chance" bremsstrahlung gamma ray emission for a series of reactions which span a wide range of mass [36,37].…”

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confidence: 99%

“…As seen in Figure 1, the reported second chance gamma temperatures and their mass dependence are in excellent agreement with the earlier results. We take this agreement as an independent confirmation of the earlier results and note that the new results extend the determination of the mass dependence to significantly higher mass.A relatively large number of theoretical calculations of the critical temperature of semi-infinite nuclear matter (nuclear matter with a surface) have been reported in the literature [25,26,27,28,29,30,31,32,33,34,35]. The different nuclear interactions employed in these calculations lead to large differences in the critical temperatures derived.…”

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confidence: 99%

Limiting Temperatures and the Equation of State of Nuclear Matter

et al. 2002

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From experimental observations of limiting temperatures in heavy ion collisions we derive Tc, the critical temperature of infinite nuclear matter. The critical temperature is 16.6 ± 0.86 MeV. Theoretical model correlations between Tc, the compressibility modulus, K the effective mass, m * and the saturation density, ρs, are exploited to derive the quantity (K/m * )s . This quantity together with calculations employing Skyrme and Gogny interactions indicates a nuclear matter incompressibility in moderately excited nuclei that is in excellent agreement with the value determined from Giant Monopole Resonance data. This technique of extraction of K may prove particularly useful in investigations of very neutron rich systems using radioactive beams.PACS numbers: 24.10.i,25.70.Gh Improved knowledge of the nuclear equation of state and a coherent picture of the relationship between the properties of finite nuclei and bulk nuclear matter remains a key requirement in both nuclear physics and astrophysics. It is key, for example, to understanding nuclear structure, heavy ion collisions, supernova explosions and neutron star properties [1,2,3]. Significant effort has been devoted to the development of microscopic theoretical models which can provide reliable mathematical formulations of this equation of state [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]. Such calculations are usually specified for symmetric nuclear matter, a hypothetical system of equal numbers of neutrons and (uncharged) protons interacting through nuclear forces. Driven by the astrophysical problems and more recent laboratory excursions into the region of more exotic nuclei, the dependence of the equation of state on neutronproton asymmetry has also become a subject of significant interest. [21,22,23]. In this letter we employ data from experimental measurements of caloric curves in nuclear collisions, together with systematic trends and correlations derived from a number of theoretical investigations of nuclear matter, to derive the critical temperature and incompressibility of symmetric nuclear matter. The techniques employed offer a natural method to extend such investigations to more asymmetric systems.In a recent paper measurements of nuclear specific heats from a large number of experiments were employed to construct caloric curves for five different regions of nuclear mass [24]. Within experimental uncertainties each of these caloric curves exhibits a plateau region at higher excitation energy, i.e., a "limiting temperature" is reached. In Figure 1 these limiting temperatures from reference [24] are presented as a function of mass. As previously noted, they are observed to decrease with increasing mass. This decrease with increasing mass has long been predicted as resulting from Coulomb Instabilities of expanded and heated nuclei [25,26,27,28,29,30,31,32,33,34,35].The results employed in reference [24] were based upon temperature determinations derived from double isotope yield ratios and from slope measurements of particle spectra. More rece...

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Thermodynamical properties and Coulomb instabilities in hot nuclear systems with the Gogny interaction

Cited by 32 publications

References 28 publications

Liquid–gas phase transition and Coulomb instability of asymmetric nuclear systems

Liquid–gas phase transition and Coulomb instability of asymmetric nuclear systems

Hot nuclear matter in asymmetry chiral sigma model

Limiting Temperatures and the Equation of State of Nuclear Matter

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