Neutrino–neutrino interactions and flavour mixing in dense matter

2006/07/31 by A. B. Balantekin, Y. Pehlivan · 3 citations
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Fermion #Flavour #Formalism (music) #Geometry #Hamiltonian (control theory) #Mathematics #Measurements of neutrino speed #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Path integral formulation #Physics #Quantum mechanics #Saddle #Saddle point #Solar neutrino #Solar neutrino problem #Sterile neutrino #astro-ph #hep-ph #nucl-th

paper · pdf · doi:10.1088/0954-3899/34/1/004

published as J.Phys.G34:47-66,2007 · 16 pages of REVTEX

arxiv created 2006/10/19 · openalex publication_date 2006/11/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

An algebraic approach to the neutrino propagation in dense media is presented. The Hamiltonian describing a gas of neutrinos interacting with each other and with background fermions is written in terms of the appropriate SU ( N ) operators, where N is the number of neutrino flavours. The evolution of the resulting many-body problem is formulated as a coherent-state path integral. Some commonly used approximations are shown to represent the saddle-point solution of the path integral for the full many-body system.

Citations

• Do many-particle neutrino interactions cause a novel coherent effect?
• Generalized Boltzmann formalism for oscillating neutrinos
• Speed-up of neutrino transformations in a supernova environment
• Construction and analysis of a simplified many-body neutrino model
• Neutrino-neutrino scattering and matter-enhanced neutrino flavor transformation in supernovae

Cited by

• Symmetry and supersymmetry in nuclear pairing: exact solutions
• Self-induced conversion in dense neutrino gases: Pendulum in flavor space
• Neutrinos and rare isotopes