Tsallis Statistics and the Role of a Stabilized Radion in the Supernovae SN 1987A Cooling
2013
20 pages
Published in:
- Int.J.Mod.Phys.A 28 (2013) 1350152
- Published: 2013
Citations per year
Abstract:
The radion in the two-brane Randall–Sundrum model is requir ed to stabilize the size of the fifth (extra) spatial dimension. It can be copiously prod uced inside the supernova core due to electron–positron annihilation ( e + e − → φ ), plasmon–plasmon annihilation ( γ P + γ P → φ ) and nucleon–nucleon bremsstrahlung and can take away the e nergy released in SN1987A explosion. Working within the q -deformed statistics (Tsallis statistics) and using the “Raffelt criterion” on the supernovae cooling rate ̇ ε ≤ 10 19 ergs g − 1 s − 1 , we find that in Case I (cooling due to e + e − → φ channel): for q = 1 . 22, as the radion mass m φ changes from 20 GeV to 150 GeV, the lower bound h φ i changes from 7 TeV to ∼ 1 . 5 TeV and in Case II (cooling due to γ P + γ P → φ channel): for q = 1 . 11, as m φ ranges from 20 GeV to 150 GeV, the lower bound h φ i changes from 201 TeV to 3.3 TeV. We investigate the dependence of h φ i on q and found that in Case I: m φ = 50(100) GeV, h φ i changes from 0 . 5(0 . 2) TeV (for q = 1 . 18) to 5.5(4.8) TeV (for q = 1 . 30) and in Case II: for m φ = 50(100) GeV, h φ i changes from 0 . 8( ∼ 0 . 1) TeV (for q = 1 . 09) to 569(216) TeV (for q = 1 . 13). We also verified that the normal Fermi–Dirac and Bose–Ei nstein statistics get recovered from the Tsallis statistics in the q → 1 limit- 12.60.-i
- 14.80.-j
- 04.50.-h
- Randall-Sundrum model
- radion
- supernovae cooling
- q-deformed statistics
References(0)
Figures(0)
Loading ...