Surface photon emissivity of bare strange stars

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Abstract
We consider the bremsstrahlung surface photon emissivity of strange quark stars, by sistematically taking into account the effects of the multiple scatterings of the highly relativistic quarks in a dense medium (the Landau-Pomeranchuk-Migdal effect). Due to interference between amplitudes of nearby interactions, the bremsstrahlung emissivity from strange star surface is suppressed for frequencies smaller than a critical frequency. The range of the suppressed frequencies is a function of the quark matter density at the star's surface and of the QCD coupling constant. For temperatures much smaller than the Fermi energy of the quarks the bremsstrahlung spectrum has the same temperature dependence as the equilibrium black body radiation. Multiple collisions could reduce the intensity of the bremsstrahlung radiation by an order of magnitude. The effect of the thin electron layer at the surface of the quark star on the bremsstrahlung spectrum is also analyzed in detail. It is shown that absorption in the semi-degenerate electron gas can also significantly reduce the intensity of the quark-quark bremsstrahlung radiation and, consequently, the surface emissivity. Hence the combined effects of multiple collisions and absorption in the electron layer could make the soft photon surface radiation of quark stars six orders of magnitude smaller than the equilibrium black body radiation.

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