Using the relativistic version of Landau theory of Fermi liquid with $\sigma \text{−}\omega$ and ρ mesons exchange, we have obtained an equation state for dense neutron star matter in the presence of a strong, quantizing magnetic field. It is found that in this scenario the self-energies of both neutron and proton components of dense neutron star matter become complex under certain physical conditions. To be more specific, it is observed that in the exchange diagrams of $\sigma ,\omega$ and neutral ρ transfer processes and in the direct interaction diagram with ${\rho }_{\pm }$ transfer reactions, the nucleon self-energies become complex in nature.

• Received 30 September 2005

DOI:https://doi.org/10.1103/PhysRevC.74.015801