1. Form Factors and Transverse Charge Densities Siddharth Venkat UW REU 2010

2. Scattering Theory

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

4. The Form Factor Electric potential where

5. On the Light Front Why?

6. Relativistic Form Factor After some math:

7. 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

8. The Result Where:

9. Data

10. More form factors

11. Transverse Densities

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

13. Error

14. Final Result

15. Conclusion Random error is small What about higher Q 2 ?

16. Acknowledgements Jerry Miller REU NSF