Difference between revisions of "Elong-13-09-12"

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(New page: ==Adding QE Range== ===Frankfurt and Strikman's 1988 Azz=== In their [http://www.sciencedirect.com/science/article/pii/0370157388901792 1988 report on Hard Nuclear Processes and Microsco...)
 
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[[Image:2013-09-12-fs-Azz-fit.png|800px]]
 
[[Image:2013-09-12-fs-Azz-fit.png|800px]]
 
::{| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
 
::{| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
| style="width: 200px;" | <math>n</math> || style="width: 200px;" | <math>w_n</math>
+
| style="width: 20px;" | <math>n</math> || style="width: 200px;" | <math>w_n</math>
 
|-  
 
|-  
 
| 0 || -5.68296e+01 &plusmn; 1.22251e-02
 
| 0 || -5.68296e+01 &plusmn; 1.22251e-02

Revision as of 10:52, 12 September 2013

Adding QE Range

Frankfurt and Strikman's 1988 Azz

In their 1988 report on Hard Nuclear Processes and Microscopic Structure, Fig. 7.7 plots what appears to be Azz.

2013-09-12-fs-Azz-plot.png


I took this plot and super-imposed it onto a plot in a spreadsheet so that I could estimate points along the curve.

2013-09-12-fs-Azz-spreadsheet.png


Each of these points, with an uncertainty of ±0.01 on account of my estimating from a previous work without direct points, was then put into a graph in ROOT and fit with a 6th-order polynomial, <math>\sum_{n=0}^6w_n\cdot x^n</math>

2013-09-12-fs-Azz-fit.png

<math>n</math> <math>w_n</math>
0 -5.68296e+01 ± 1.22251e-02
1 2.46102e+02 ± 1.66137e-02
2 -3.51484e+02 ± 1.39410e-02
3 1.11641e+02 ± 1.11237e-02
4 1.63698e+02 ± 8.63783e-03
5 -1.48174e+02 ± 6.15266e-03
6 3.50491e+01 ± 3.63922e-03

This fit was written up as a subroutine for the b1 rates code. It also assumes that at x>1.425, Azz=1 and that at x<0.75, Azz=0. The b1 rates code was then updated to use the previous Kumano curves for x<0.75 and this new QE curve for x>=0.75.

--E. Long 15:51, 12 September 2013 (UTC)