[Frost] fermi momentum
Michael Dugger
dugger at jlab.org
Thu Aug 16 17:58:59 EDT 2012
Hi,
I made a plot that is similar to what I showed at the meeting today. The only
difference is that I have included fermi momentum smearing. I used the fermi
momentum to be 250 MeV and allowed the initial proton momentum to be smeared
from 0.0 up to the fermi momentum, isotropic in space.
The plot can be found at
http://www.jlab.org/Hall-B/secure/g9/ASU/fSmear.gif
The x-axis is massX squared and the colors are as such
Black -> separation energy = 12 MeV
Red -> separation energy = 16 MeV
Green -> separation energy = 50 MeV
Blue -> separation energy = 100 MeV
Yellow -> separation energy = 200 MeV
Pink -> separation energy = 300 MeV
In the region that we call unphysical in the analysis note (massX^2 < 0.4
GeV^2), the spectrum is from separation energies > 100 MeV. These separation
energies are too large to come from simply pulling out a proton from the nuclei
of interest. Instead, I assume, that the data we have with massX^2 < 0.4 GeV^2
is due to scattering of the proton off of another nucleon. Such an effect is
discussed in a paper by K. Nakamura et. al. (Nucl. Phys. A 268, (1976) 381-407)
If I can make the assumption that the unphysical region is from a proton
scattering off another nucleon, then I can get an approximation for the
systematic uncertainty in the scale factors due to the different types of
target nuclei.
It will take a bit more writing that I want to send in an email, so I'll
try and make a pdf to send around tomorrow to show how I'm trying to
approximate the systematic uncertainty.
Take care,
Michael
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