Difference between revisions of "Elong-14-05-09"

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Using the Frankfurt and Strikman equation 7.3,
 
Using the Frankfurt and Strikman equation 7.3,
  
<math>A_{zz} = R(p_s) = \frac{3(k_t^2/2-k_z^2)}{k^2}\frac{u(k)w(k)\sqrt{2}+\frac{1}{2}w^2(k)}{u^2(k)+w^2(k)}</math>
+
$A_{zz} = R(p_s) = \frac{3(k_t^2/2-k_z^2)}{k^2}\frac{u(k)w(k)\sqrt{2}+\frac{1}{2}w^2(k)}{u^2(k)+w^2(k)}$
  
I'm trying to recreated their Figure 7.5. I don't entirely understand what <math>k_t</math>, <math>k_z</math>, and <math>k</math> are, but if the ratio out front comes out to -3, I can recreate the D(e,e'p) at 180 degrees plot:
+
I'm trying to recreated their Figure 7.5. I don't entirely understand what $k_t$, $k_z$, and $k$ are, but if the ratio out front comes out to -3, I can recreate the D(e,e'p) at 180 degrees plot:
  
 
[[Image:2014-05-09-fs-fig-7-3.png]]
 
[[Image:2014-05-09-fs-fig-7-3.png]]

Latest revision as of 14:22, 18 October 2023

Recreating F&S Azz

Using the Frankfurt and Strikman equation 7.3,

$A_{zz} = R(p_s) = \frac{3(k_t^2/2-k_z^2)}{k^2}\frac{u(k)w(k)\sqrt{2}+\frac{1}{2}w^2(k)}{u^2(k)+w^2(k)}$

I'm trying to recreated their Figure 7.5. I don't entirely understand what $k_t$, $k_z$, and $k$ are, but if the ratio out front comes out to -3, I can recreate the D(e,e'p) at 180 degrees plot:

2014-05-09-fs-fig-7-3.png

Repeating this same process for all of the wavefunctions that I received from Donal, making sure that the low-k part of the D-state wavefunction is positive as is their convention in Figure 7.1, we see

2014-05-12-wavefunctions-with-fs.png

2014-05-12-wavefunctions-without-fs.png