RELATIVISTIC HARMONIC OSCILLATOR MODEL FOR QUARK STARS

Abstract

The relativistic harmonic oscillator (RHO) model of hadrons is used to study quark stars. The mass–radius relationship is obtained and compared with bag model of quark star, using Tolman–Oppenheimer–Volkoff equation. In this model, the outward degenerate pressure due to discrete Landau levels and Landau degeneracy balances the inward gravitational pressure. Where as in bag model the degenerate pressure is due to the standard continuum levels which balances the combined inward pressure due to gravitation and bag pressure. So in RHO model, the confinement effect is included in the degenerate pressure. We found a qualitative similarity, but quantitative differences in mass–radius relationship of quark stars in these two models. Masses and radii are relatively larger and the central energy densities, required for stable quark stars, are lower in RHO model than that of bag model.