The energy spectrum of TeV gamma rays from the Crab Nebula as measured by the HEGRA system of imaging air Cerenkov telescopes

The Crab Nebula has been observed by the HEGRA (High-Energy Gamma-Ray Astro nomy) stereoscopic system of imaging air Cerenkov telescopes (IACTs) for a total of similar to 200 hr during two observational campaigns: from 1997 Se ptember to 1998 March and from 1998 August to 1999 April. The recent detail ed studies of system performance give an energy threshold and an energy res olution for gamma-rays of 500 GeV and similar to 18%, respectively. The Cra b energy spectrum was measured with the HEGRA IACT system in a very broad e nergy range up to 20 TeV, using observations at zenith angles up to 65 degr ees. The Crab data can be fitted in the energy range from 1 to 20 TeV by a simple power law, which yields dJ(gamma)/dE = (2.79 +/- 0.02 +/- 0.5) x 10( -7)(E/1 TeV)(-2.59+/-0.03+/-0.05) photons m(-2) s(-1) TeV-1. The Crab Nebul a energy spectrum, as measured with the HEGRA IACT system, agrees within 15 % in the absolute scale and within 0.1 units in the power-law index with th e latest measurements by the Whipple, CANGAROO, and CAT groups, consistent within the statistical and systematic errors quoted by the experiments. The pure power-law spectrum of TeV gamma-rays from the Crab Nebula constrains the physics parameters of the nebula environment as well as the models of p hoton emission.