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Form Factors and Transverse Charge Densities

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

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  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 dF1 from propagation of errors Assume errors in ρch add

  13. Error

  14. Final Result

  15. Conclusion • Random error is small • What about higher Q2?

  16. Acknowledgements • Jerry Miller • REU • NSF

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