Symmetries of the Neutrino Interactions
A. B. Balantekin (Wisconsin U., Madison)
TL;DR
This paper explores the symmetries in neutrino interactions, focusing on SO(5) symmetry and invariants in collective neutrino Hamiltonians relevant to the early universe and supernovae.
Contribution
It introduces the SO(5) symmetry in the neutrino mass Hamiltonian and analyzes invariants of collective neutrino Hamiltonians in astrophysical contexts.
Findings
Identification of SO(5) symmetry in neutrino mass Hamiltonian
Analysis of invariants in collective neutrino Hamiltonians
Applications to early universe and supernovae physics
Abstract
Symmetries in neutrino physics are explored using analogies to fermion pairing in many-body systems. In particular, the SO(5) symmetry of the most general neutrino mass Hamiltonian with both Dirac and Majorana mass terms as well as the invariants of certain limits of the collective neutrino Hamiltonian are discussed. The latter Hamiltonian finds applications in the Early Universe and core-collapse supernovae.
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