Form Factors and Transverse Charge Densities Siddharth Venkat UW REU 2010

Scattering Theory

Scattering Theory (cont.) Born approximation Gives a differential cross section which can be experimentally determined

The Form Factor Electric potential where

On the Light Front Why?

Relativistic Form Factor After some math:

Finite Radius Approximation Densities can be approximated by zero far from the particle Density is the Fourier transform of the form factor → F is band limited Can use the sampling theorem

The Result Where:

Data

More form factors

Transverse Densities

Calculation of error Get dF 1 from propagation of errors Assume errors in ρ ch add

Error

Final Result

Conclusion Random error is small What about higher Q 2 ?

Acknowledgements Jerry Miller REU NSF