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The maximum analyticity principle in the angular momentum

Research paper by E. Predazzi, T. Regge

Indexed on: 26 Sep '08Published on: 26 Sep '08Published in: Il Nuovo Cimento (1955-1965)



Abstract

Chew has proposed to extend his maximum analyticity principle to angular momentum. So far analyticity of the scattering amplitude in the angular momentuml has been proved for potential scattering only when Re(l) > — 1/2. According to Chew it ought to be possible to extend this analyticity in the wholel plane, apart from those singularities which have a clear physical interpretation in terms of dynamical resonances or bound states. In this paper it is shown that a potential with a strongly repulsive core may be the way out of the dilemma in the sense that the resulting amplitude is then even in (l + 1/2) and the desired analytical continuation is then trivial.