Calculations for Density of Quark Core Consisting of Mono Flavored Closely Packed Quarks inside Neutron Star

Abstract

The attempt has been taken to calculate the density of stars possessing quark matter core using sphere packing concept of crystallography. The quark matter has been taken as solid in nature as predicted in references 36 and 37, and due to immense gravitational pressure at the core of the star the densest packing of quarks as spheres has been assumed to calculate the packing fraction Φ, thus the density ρ of the matter. Three possible types of pickings—mono-sized sphere packing, binary sphere packing and ternary sphere packing, have been worked out using three possible types of quark matter. It has been concluded that no value about the ρ of quark matter can be calculated using binary and ternary packing conditions and for mono-sized packing condition different flavor quark matters of different values in the density have been calculated using results from the experiments done by HI, ZEUS, L3 and CDF Collaborations about the radius limit of quark. For example, for u quark matter ρ ranges from 4.0587 × 10 48 - 7.40038 × 10 48 MeV/c 2 cm 3 using results of L3 Collaboration, for s quark matter 15.91794 × 10 48 - 17.6866 × 10 48 MeV/c 2 cm 3 , etc.