Neutron Fermi liquids under the presence of a strong magnetic field with effective nuclear forces

Landau's Fermi liquid parameters are calculated for non-superfluid pure neutron matter in the presence of a strong magnetic field at zero temperature. The particle-hole interactions in the system, where a net magnetization may be present, are characterized by these parameters in the framework of a multipolar formalism. We use either zero- or finite-range effective nuclear forces to describe the nuclear interaction. Using the obtained Fermi liquid parameters, the contribution of a strong magnetic field on some bulk magnitudes such as isothermal compressibility and spin susceptibility is also investigated.

Figure 1

Variation ratio of Landau coefficients with the SLy7 (a) and D1P (b) parametrizations at density $\rho =0.5{\rho }_0$ and zero temperature as a function of the logarithm of the magnetic field strength.

Figure 2

Same as Fig. 1 computed at density $\rho =3.3{\rho }_0$.

Figure 3

Effective neutron mass at density ${\rho }_0$ as a function of the logarithm of the magnetic field strength for the Skyrme SLy7 (a) and Gogny D1P (b) interactions. For each model, upper (lower) curves correspond to spin down (up) polarized particles.

Figure 4

Isothermal compressibility components obtained for the Skyrme SLy7 (solid curve) and Gogny D1P (dashed line) models as a function of density. Spin down (upper curve) and up (lower curve) polarized components are shown for each model.

Figure 5

Isothermal compressibility components obtained for the Skyrme SLy7 (solid line) and Gogny D1P (dashed line) models as a function of the logarithm of the magnetic field strength at density ${\rho }_0$. Upper (lower) curves refer to spin down (up) polarized contributions.

Figure 6

Magnetic susceptibility as a function of density for the Skyrme SLy7 (solid line) and Gogny D1P (dashed line) models. See text for details.

Figure 7

Magnetic susceptibility for a pure neutron system as a function of the logarithm of the magnetic field strength for the Skyrme SLy7 (solid line) and Gogny D1P (dashed line) at saturation density. For each model upper (lower) curves refer to down (up) spin polarized components. See text for details.