Search

The light dark matter (≃1-30 MeV) particles pair produced in electron-positron annihilation e-e+γ→χχ inside the supernova core can take away the energy released in the supernova SN1987A explosion. Working within the formalism of q-deformed statistics [with the average value of the supernovae core temperature (fluctuating) being TSN=30 MeV] and using the Raffelt's criterion on the emissivity for any new channel ϵ(e+e-→χχ)≤1019 erg g-1 s-1, we find that as the deformation parameter q changes from 1.0 (undeformed scenario) to 1.1 (deformed scenario), the lower bound on the scale Λ of the dark matter effective theory varies from 3.3×106 TeV to 3.2×107 TeV for a dark matter fermion of mass mχ=30 MeV. Using the optical depth criteria on the free streaming of the dark matter fermion, we find the lower bound on Λ∼108 TeV for mχ=30 MeV. In a scenario, where the dark matter fermions are pair produced in the outermost sector of the supernova core [with radius 0.9Rc≤r≤Rc, Rc(=10 km) being the supernova core radius or the radius of protoneutron star], we find that the bound on Λ (∼3×107 TeV) 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 mχ=10-30 MeV. [ABSTRACT FROM AUTHOR]