Spin and Chiral Properties of High-Energy Neutrinos in Schwarzschild Space-Time

Details Spin and Chiral Properties of High-Energy Neutrinos in Schwarzschild Space-Time Spin and Chiral Properties of High-Energy Neutrinos in Schwarzschild Space-Time

Apr 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005fuin.conf..279s&link_type=abstract

FUNDAMENTAL INTERACTIONS. Proceedings of the Nineteenth Lake Louise Winter Institute. Held 15-21 February 2004 in Lake Louise, A

Computer Science

Scientific paper

We investigate the spin and chiral dynamics of a high-energy massive neutrino propagating in a Schwarzschild space-time background described in terms of isotropic spherical co-ordinates. Employing the Cini-Touschek transformation, we derive an ultrarelativistic form of the Dirac Hamiltonian in curved space-time to compute the helicity and chirality transition rates to first-order in the neutrino's rest mass. We show that, under general conditions, the chirality transition rate is dependent on the zeroth-order component of the helicity transition rate. Further, we demonstrate that Schwarzschild space-time can distinguish between the helicity and chirality of neutrinos in the massless limit, which suggests that their equivalence for massless spin-1/2 particles is broken by the presence of a gravitational field.

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