Hot nuclear matter in asymmetry chiral sigma model

Abstract

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.

Thermal properties of asymmetrical nuclear matter with the new charge-dependent Reid potential

“…We find that there is no liquid-gas phase transition for R less than 0.03. Our results are in qualitative agreement with results of Modarres [31] and Sahu [25] calculations by using the Reid68 interaction and chiral sigma model, respectively.…”

“…Theoretically, considerable works has been devoted to investigation of the EOS of symmetric nuclear matter at finite temperature and discussion of the critical phenomena [7][8][9]. Although, almost of the calculated EOS of infinite symmetric nuclear matter shows a typical van der Waals behavior, the predicted values of critical temperature T c for the liquid-gas phase transition are distributed in a wide range, from 8 MeV to 25 MeV depending on the adopted theoretical models and the nucleon-nucleon interactions. So the theoretical understanding of the bulk properties of such matter under unusual conditions of densities and temperatures would be crucial.…”

“…The variational theory of quantum fluids have been used by Friedman and Pandharipande [17], Wringa et al [18], and the Brueckner theory calculation with various phenomenological interactions have been carried out by Baldo et al [19,45], Das et al [20] and Bombaci et al [21], Bombaci and Lombardo [22] and Zuo et al [23]. The chiral Sigma model have been applied by Jena and Singh [24], and Sahu et al [25], and the relativistic BrucknerHartree-Fock theory at finite temperature have been applied by Weber et al [9]. However, the calculation of hot asymmetric nuclear matter based on the microscopic models are relatively rare.…”

Thermal properties of asymmetric nuclear matter

“…Therefore, one should rather refer to this temperature as the critical temperature of mechanical instability, T CM . Because the calculation of T CM is more straightforward and also more familiar, it is widely used in the literature [48,60,61]. T CM is somewhat smaller than T C , yet it also represents the asymmetry dependence of the instability region.…”

Effect of Logarithmic Mesonic Potential on Nucleon Magnetic Moments and Hedgehog Mass

“…In the direction of nuclear matter, higher-order mesonic interactions are considered in the framework of the chiral sigma model to get a better description of nuclear matter properties, such as the nuclear matter saturation density and binding energy (for details, see [15][16][17][18]). Also, Tsubakihara and Ohnishi [19] derived the logarithmic potential, which is based on some aspects of QCD, to examine nuclear matter properties in comparison with other models.…”