Effect of neutron dark decay under neutron star interior conditions
Determine how the neutron dark decay channel n → χ + φ is affected by the extreme physical conditions inside neutron star cores, including high densities, pressures, temperatures, and intense fields, and ascertain the extent of any modification to the decay under these conditions.
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In any case, the extent to which the proposed dark decay of the neutron is affected by the extreme conditions prevailing in the interior of neutron stars remains an open problem.
A microscopic evaluation of the in-medium conversion rate requires a specific reaction channel and the corresponding many-body matrix element. Since the present work is concerned with the equilibrium EOS, we do not attempt such a rate calculation. We assume that the nonzero neutron-dark-baryon mixing is sufficient to establish chemical equilibrium over the stellar lifetime. The equilibrium composition is then independent of the magnitude of $g_c$, provided that the equilibration timescale remains shorter than the age of the star. A quantitative calculation of the conversion timescale is left for future work.