Effect of the $\delta$-meson on the instabilities of nuclear matter under strong magnetic fields

Abstract

We study the influence of the isovector-scalar meson on the spinodal instabilities and the distillation effect in asymmetric non-homogenous nuclear matter under strong magnetic fields, of the order of $10^{18}-10^{19}$ G. Relativistic nuclear models both with constant couplings (NLW) and with density dependent parameters (DDRH) are considered. A strong magnetic field can have large effects on the instability regions giving rise to bands of instability and wider unstable regions. It is shown that for neutron rich matter the inclusion of the $\delta$ meson increases the size of the instability region for NLW models and decreases it for the DDRH models. The effect of the $\delta$ meson on the transition density to homogeneous $\beta$-equilibrium matter is discussed. The DDRH$\delta$ model predicts the smallest transition pressures, about half the values obtained for NL$\delta$.

arXiv comment6 pages, 5 figues, 3 tables, accepted for publication in Phys. Rev. C

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• Neutron matter under strong magnetic fields: a comparison of models
• Crust-core transition of a neutron star: effect of the temperature under strong magnetic fields
• Coexistence of phases in asymmetric nuclear matter under strong magnetic fields
• Properties of Rotating Neutron Star in Density-dependent Relativistic Mean-field Models