On The Problem with Only Zeroth Landau Level Occupancy of Electrons /   Protons in Strongly Magnetized Neutron Star Matter in $\beta$-equilibrium   Condition- The Role of Anomalous Magnetic Moments
  It is shown explicitly that if only the zeroth Landau level is occupied by electrons in strongly magnetized neutron star matter in $\beta$-equilibrium condition, then both the proton and neutron matter sectors become spin symmetric. Whereas, the study of Pauli para-magnetism of neutron matter sector shows that such a scenario is physically impossible. It is also shown that in dense stellar hadronic matter in $\beta$-equilibrium in presence of strong quantizing magnetic field, with $\sigma-\omega-\rho$ exchange type mean field interaction and with the inclusion of magnetic dipole moments does not allow electrons to occupy only the zeroth Landau level. 
Sutapa Ghosh, Soma Mandal and Somenath Chakrabarty