Sensitivity of Surface Energy Parametrization on the Crustal Properties of Neutron Star

Among the various layers of a neutron star, the crust possesses a challenge due to its complexity and importance in various observed phenomena, such as pulsar glitches, quasi-periodic oscillations (QPOs), etc. Out of a few methods to calculate the crust structure of a neutron star, the compressible liquid drop model (CLDM) has various advantages compared to others, such as lower computational requirement, effectiveness, boundary conditions, etc. The CLDM model incorporates the compressibility of nuclear matter, negative lattice Coulomb energy, and the suppression of surface tension by the neutron gas. In CLDM formalism, the finite-size effects are introduced via surface and coulomb energy parametrization in an ad-hoc manner, limiting the results’ sensitivity. The surface energy plays the most significant role and is responsible for the possible deviations. In this work, we try to investigate the role of surface energy parametrization in the CLDM formalism and its sensitivity towards various neutron star properties. It is seen that the crustal properties of the neutron star are significantly affected by the surface energy parametrization.