| The ANtarctic Impulsive Transient Antenna (ANITA) searches for ultra high energy neutrinos interacting in the Antarctic ice cap. It is a long duration balloon experiment composed of an array of broadband dual-polarized horn antennas that had its first science flight over Antarctica in December 2006 through January 2007. ANITA relies upon the Askaryan effect, in which a particle shower in a dense medium emits coherent Cherenkov radiation at radio wavelengths, for the detection of a neutrino induced shower. Using the null result reported elsewhere of the detection of neutrino candidates by the ANITA-I experiment, we place a limit upon the flux of neutrinos from Gamma Ray Bursts (GRBs). During the ANITA-I flight, 21 GRBs were detected by spacecraft, but none occurred in the primary ANITA field of view while the instrument was operating. Using the measured redshifts of the limited number of localized GRBs that occurred during the flight, we model their neutrino flux using a basic Waxman-Bahcall model. We are able to place a 90% CL limit on the E -4 prompt neutrino fluence from GRB061222B in the energy range of 107.7 GeV ≤ epsilonnu ≤ 109.7 GeV of e4nFn ≤ 4.65 x 1018 GeV3 cm -2 at a ratio of 4.81 x 107 to the predicted model for a burst time of 42 seconds. With no neutrino detections over the entire ANITA-I flight, lasting over 17 days, we set a limit with a 90% CL on a E-4 flux over the energy range of 107.65 GeV ≤ epsilonnu ≤ 1010 GeV of e4nFn ≤ 6.5 x 1010 GeV3 cm -2 s-1 sr-1. |
