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Title: TeV–PeV neutrino oscillation of low-luminosity gamma-ray bursts

Journal Article · · Astrophysical Journal

There is evidence that long-duration gamma-ray bursts (GRBs) originate from the core collapse of massive stars. When a jet punctures through the progenitor envelope, high-energy neutrinos can be produced by the reverse shock formed at the jet head. It is suggested that low-luminosity GRBs are possible candidates of this high-energy neutrino precursor up to ∼PeV scales. Before leaving the progenitor, these high-energy neutrinos must oscillate from one flavor to another with the matter effect in the envelope. Under the assumption of a power-law stellar envelope density profile ρ∝r{sup −α} with an index α, we study the properties of TeV–PeV neutrino oscillation. We find that adiabatic conversion is violated for these neutrinos so we calibrate the level crossing effect. The resonance condition is reached for different energies at different radii. We note that the effective mixing angles in matter for PeV neutrinos are close to zero, so the transition probabilities from one flavor to another are almost invariant for PeV neutrinos. We plot all the transition probabilities versus the energy of TeV–PeV neutrinos from the birth place to the surface of the progenitor. With an initial flavor ratio ϕ{sub ν{sub e}{sup 0}}:ϕ{sub ν{sub μ}{sup 0}}:ϕ{sub ν{sub τ}{sup 0}}=1:2:0, we plot how the flavor ratio evolves with energy and distance when neutrinos are still in the envelope, and we find the ratio when they reach the Earth. For PeV neutrinos, the ratio is always ϕ{sub ν{sub e}}:ϕ{sub ν{sub μ}}:ϕ{sub ν{sub τ}}≃0.30:0.37:0.33 on Earth. In addition, we discuss the dependence of the flavor ratio on energy and α and find a good result. This dependence may provide a promising probe of the progenitor structure.

OSTI ID:
22883143
Journal Information:
Astrophysical Journal, Vol. 805, Issue 2; Other Information: Country of input: International Atomic Energy Agency (IAEA); Since 2009, the country of publication for this journal is the UK.; ISSN 0004-637X
Country of Publication:
United Kingdom
Language:
English

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