Next to leading order non Fermi liquid corrections to the neutrino emissivity and cooling of the neutron star

TL;DR

This paper derives next-to-leading order non-Fermi liquid corrections to neutrino emissivity and mean free path in degenerate quark matter, analyzing their impact on neutron star cooling.

Contribution

It provides the first detailed calculation of NLO non-Fermi liquid effects on neutrino processes in neutron star matter and assesses their influence on cooling curves.

Findings

NLO corrections moderately enhance neutrino emissivity and mean free path.

Cooling curves show slight increase but overall behavior remains similar.

Corrections are larger than free Fermi gas estimates but do not significantly alter cooling.

Abstract

In this work we derive the expressions of the neutrino mean free path(MFP) and emissivity with non Fermi liquid corrections up to next to leading order(NLO) in degenerate quark matter. The calculation has been performed both for the absorption and scattering processes. Subsequently the role of these NLO corrections on the cooling of the neutron star has been demonstrated. The cooling curve shows moderate enhancement compared to the leading order(LO) non-Fermi liquid result. Although the overall correction to the MFP and emissivity are larger compared to the free Fermi gas, the cooling behavior does not alter significantly.