Figure 1

Upper panels (a) and (c): Density dependence of the total energy per baryon $E_T/A$ of the neutron-star matter for $T=20\mathrm{MeV}$ (a) and 40 MeV (c). The red solid and blue long-dashed lines represent the calculated results in the systems with and without $\Lambda$. Lower panels (b) and (d): Number fractions of proton $x_p$, lambda particle $x_{\Lambda }$, and neutrino $x_{\nu }$ for $T=20\mathrm{MeV}$ (b) and 40 MeV (d). The red solid, dot-long-dashed, and short-dashed lines represent the calculated proton, $\Lambda$, and neutrino number fractions, respectively, in the system including $p$, $n$, and $\Lambda$. The blue long-dashed and dotted lines represent the calculated proton and neutrino number fractions in the system without $\Lambda$. We use the parameter-set PM1-L1 [23] for the RMF and the lepton fraction is set to be $Y_L=0.4$ in the present calculation.Reuse & Permissions

Figure 2

Upper panels (a): Differential cross sections per baryon $d\sigma /d\Omega /A$ in units of ${10}^{-16}{\mathrm{fm}}^2$ for the neutrino scattering (${\nu }_e\to {\nu }_e$) on neutron-star matter at ${\rho }_B=3{\rho }_0$ for $T=20\mathrm{MeV}$ (a). Lower panels (b): The same as the upper panels but for the neutrino absorption (${\nu }_e\to e^{-}$). The initial momentum and angle of incident neutrino are taken to be $|{\mathit{k}}_i|={\epsilon }_{\nu }$ and ${\theta }_i=0°$. The red solid and short-dashed lines represent the calculated results, including $\Lambda$ in the neutron star associated with and without magnetic field $B=2\times {10}^{17}\mathrm{G}$, respectively. The blue dot-dashed and dotted lines represent the results without $\Lambda$.Reuse & Permissions

Figure 3

Normalized magnetic part of the total absorption cross sections, $\Delta \sigma /{\sigma }_0$, as a function of incident neutrino angle ${\theta }_i$ for systems without hyperons at $T=20\mathrm{MeV}$ (a) and $T=40\mathrm{MeV}$ (b), and with hyperons at $T=20\mathrm{MeV}$ (c) and $T=40\mathrm{MeV}$ (d). In each panel, the dotted, solid, dash-dotted, and dashed lines represent the results at ${\rho }_B={\rho }_0$, $3{\rho }_0$, $5{\rho }_0$, and $7{\rho }_0$, respectively. Magnetic field of $B=2\times {10}^{17}\mathrm{G}$ is used in this calculation.Reuse & Permissions