On The Problem with Only Zeroth Landau Level Occupancy of Electrons / Protons in Strongly Magnetized Neutron Star Matter in $β$-equilibrium Condition- The Role of Anomalous Magnetic Moments

Ghosh, Sutapa; Mandal, Soma; Chakrabarty, Somenath

On The Problem with Only Zeroth Landau Level Occupancy of Electrons / Protons in Strongly Magnetized Neutron Star Matter in $β$-equilibrium Condition- The Role of Anomalous Magnetic Moments

Authors

Ghosh, Sutapa

Mandal, Soma

Chakrabarty, Somenath

Description

It is shown explicitly that if only the zeroth Landau level is occupied by electrons in strongly magnetized neutron star matter in $β$-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 $β$-equilibrium in presence of strong quantizing magnetic field, with $σ-ω-ρ$ exchange type mean field interaction and with the inclusion of magnetic dipole moments does not allow electrons to occupy only the zeroth Landau level.
REVTEX File, Six Pages, Two .eps Figures (Included), Title and Text have been modified