Abstract
The light dark matter () particles pair produced in electron-positron annihilation inside the supernova core can take away the energy released in the supernova SN1987A explosion. Working within the formalism of -deformed statistics [with the average value of the supernovae core temperature (fluctuating) being ] and using the Raffelt’s criterion on the emissivity for any new channel , we find that as the deformation parameter changes from 1.0 (undeformed scenario) to 1.1 (deformed scenario), the lower bound on the scale of the dark matter effective theory varies from to for a dark matter fermion of mass . Using the optical depth criteria on the free streaming of the dark matter fermion, we find the lower bound on for . In a scenario, where the dark matter fermions are pair produced in the outermost sector of the supernova core [with radius , being the supernova core radius or the radius of protoneutron star], we find that the bound on () obtained from SN cooling criteria (Raffelt’s criteria) is comparable with the bound obtained from free streaming (optical depth criterion) for light fermion dark matter of mass .
5 More- Received 21 September 2015
DOI:https://doi.org/10.1103/PhysRevD.95.015001
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