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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

Sutapa Ghosh·Soma Mandal·Somenath Chakrabarty
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Abstract

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.

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Sutapa Ghosh, Soma Mandal, Somenath Chakrabarty. 2006-08-20. 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. https://arxiv.org/abs/astro-ph/0207492

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