Abstract
We use the assumed analytic properties of the proton electromagnetic form factors G(t) by performing a conformal transformation to a new variable η such that the form factor is analytic inside the unit circle in the complex η plane. We fit the data with power series in η and extrapolate to the circle to find the spectral function. For both electric and magnetic form factors, we find spectral functions with a broad peak around 625 MeV, and a negative excursion above 1 BeV. We examine the validity of our extrapolation procedure by tests on several types of artificial data. Our procedure can reproduce a spectral function with a broad peak, but is not so successful in reproducing a narrow resonance, or a pair narrow resonances close together.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
