q-deformed statistics and the role of light fermionic dark matter in SN1987A cooling

Atanu Guha, Selvaganapathy J, and Prasanta Kumar Das
Phys. Rev. D 95, 015001 – Published 4 January 2017

Abstract

The light dark matter (130MeV) particles pair produced in electron-positron annihilation ee+γχχ¯ 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=30MeV] and using the Raffelt’s criterion on the emissivity for any new channel ϵ˙(e+eχχ¯)1019ergg1s1, 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 3.3×106TeV to 3.2×107TeV for a dark matter fermion of mass mχ=30MeV. Using the optical depth criteria on the free streaming of the dark matter fermion, we find the lower bound on Λ108TeV for mχ=30MeV. In a scenario, where the dark matter fermions are pair produced in the outermost sector of the supernova core [with radius 0.9RcrRc, Rc(=10km) being the supernova core radius or the radius of protoneutron star], we find that the bound on Λ (3×107TeV) 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=1030MeV.

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  • Received 21 September 2015

DOI:https://doi.org/10.1103/PhysRevD.95.015001

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Atanu Guha*, Selvaganapathy J, and Prasanta Kumar Das

  • Department of Physics, Birla Institute of Technology and Science-Pilani, K. K. Birla Goa campus, NH-17B, Zuarinagar, Goa-403726, India

  • *p2014401@goa.bits-pilani.ac.in
  • p2012015@goa.bits-pilani.ac.in
  • Corresponding author. pdas@goa.bits-pilani.ac.in

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Vol. 95, Iss. 1 — 1 January 2017

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