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  Liouville term for neutrinos: Flavor structure and wave interpretation

Stirner, T., Sigl, G., & Raffelt, G. (2018). Liouville term for neutrinos: Flavor structure and wave interpretation. Journal of Cosmology and Astroparticle Physics, (1805), 016. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2018-14.

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 Creators:
Stirner, Tobias1, Author
Sigl, Günter1, Author
Raffelt, Georg1, Author
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1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: Astroparticle Physics
 Abstract: Neutrino production, absorption, transport, and flavor evolution in astrophysical environments is described by a kinetic equation $D\varrho=-i[{\sf H},\varrho]+{\cal C}[\varrho]$. Its basic elements are generalized occupation numbers $\varrho$, matrices in flavor space, that depend on time $t$, space $\bf x$, and momentum $\bf p$. The commutator expression encodes flavor conversion in terms of a matrix $\sf H$ of oscillation frequencies, whereas ${\cal C}[\varrho]$ represents source and sink terms as well as collisions. The Liouville operator on the left hand side involves linear derivatives in $t$, $\bf x$ and $\bf p$. The simplified expression $D=\partial_t+\hat{\bf p}\cdot{\partial}_{\bf x}$ for ultra-relativistic neutrinos was recently questioned in that flavor-dependent velocities should appear instead of the unit vector $\hat{\bf p}$. Moreover, a new damping term was postulated as a result. We here derive the full flavor-dependent velocity structure of the Liouville term although it appears to cause only higher-order corrections. Moreover, we argue that on the scale of the neutrino oscillation length, the kinetic equation can be seen as a first-order wave equation.

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 Dates: 2018
 Publication Status: Issued
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Title: Journal of Cosmology and Astroparticle Physics
  Alternative Title : JCAP
Source Genre: Journal
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Pages: - Volume / Issue: (1805) Sequence Number: - Start / End Page: 016 Identifier: -