Parametrization of the relativisticσ-ωmodel for nuclear matter

Abstract

We have investigated the zero-temperature equation of state (EoS) for infinite nuclear matter within the (σ − ω) model at all densities nB and different proton-neutron asymmetry η ≡ (N −Z)/(N +Z). We have presented an analytical expression for the compression modulus, and found that nuclear matter ceases to saturate at η slightly larger than 0.8. Afterward, we have developed an analytical method to determine the strong coupling constants from the EoS for isospin symmetric nuclear matter, which allow us to reproduce all the saturation properties with high accuracy. For various values of the nucleon effective mass and the compression modulus, we have found that the quartic self-coupling constant G4 is negative, or positive and very large. Furthermore, we have demonstrated that it is possible (a) to investigate the EoS in terms of nB and η; and (b) to reproduce all the known saturation properties without G4. We have thus concluded that the latter is not necessary in the (σ − ω) model.

Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond

“…We verified this prediction for the FR-RMF models of Ref. [14] with J = 32.5 MeV and K o = 230 MeV. The result is depicted in Fig.…”

“…That is why we find important to have a way to relate analytically both quantities. In order to proceed in this direction in our paper, we have chosen to follow three steps to simplify the FR models which parametrize the infinite nuclear matter bulk parameters and finite nuclei properties [12][13][14]. First, we select FR models containing cubic and quartic interactions in the scalar field σ, i. e., we choose models with σ 3 and σ 4 contributions in their Lagrangian density.…”

Astrophysical Implications on Hyperon Couplings and Hyperon Star Properties with Relativistic Equations of States

“…They give an acceptable saturation point, which means a saturation density in the interval of ρ 0 ∼ 0.15-0.17 fm −3 and the corresponding energy per particle at saturation in the interval of E/A ∼ − (17-15) MeV. The calculated incompressibility at saturation is compatible with the constraints of 190-270 MeV (Dutra et al 2014) from the analysis on giant monopole and dipole resonances, except the original linear Walecka models of LHS (Reinhard 1989) and RMF201 (Dadi 2010), having extreme values of 577.84, 548.10 MeV, respectively, which we only include them for comparison. Nevertheless, the symmetry energy parameters (E sym , L, K sym ) spread the two-dimensional plots of L versus E sym and L versus K sym in the lower panels of Figure 1.…”

“…From Figure 3, except the already-excluded LHS (Reinhard 1989) and RMF201 (Dadi 2010), it is evident that the introduction of the hypernuclei constraint favors large values of R σΛ and R ωΛ and disfavors small values of both couplings. The peak values of R σΛ are shifted largely to the right, while the R ωΛ peaks only slightly change.…”

Dark atoms of dark matter from new stable quarks and leptons

“…The result is sensitive to the precise value of d o , which determines the size of nuclei R = d o A 1/3 . The range of g 2 /µ 2 and their preferred values were determined in [36]. In the calculations [19] the mass of OHe was taken equal to m o = 1TeV , however the results weakly depend on the value of m o > 1TeV .…”