form factors and transverse charge densities siddharth venkat uw reu 2010
Post on 21-Dec-2015
216 views
TRANSCRIPT
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
0.0 0.5 1.0 1.5 2.0b fm0.5
1.0
1.5
2.0
m bfm 2
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4b fm0.5
1.0
1.5
2.0chbfm 2
Calculation of error
Get dF1 from propagation of errors
Assume errors in ρch add
Error
Final Result
Conclusion
• Random error is small
• What about higher Q2?
Acknowledgements
• Jerry Miller
• REU
• NSF