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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?.
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Form Factors and Transverse Charge Densities Siddharth Venkat UW REU 2010
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:
Calculation of error Get dF1 from propagation of errors Assume errors in ρch add
Conclusion • Random error is small • What about higher Q2?
Acknowledgements • Jerry Miller • REU • NSF