[d2n-analysis-talk] Target Mass Corrections
posik at jlab.org
posik at jlab.org
Thu Apr 11 15:41:16 EDT 2013
Hi all,
A few days ago Brad forwarded an email which had posed the question of
how target mass corrections were going to be handled, So I have been
reading about target mass corrections and what I have found is that
there is a variable called the Nachtmann variable, xi, that is related
to x Bjorken. By plotting xi vs x, the significance of the target mass
corrections can be seen by how much xi deviates from the xi = x curve.
In light of this, I have calculated xi using the neutron mass (0.940
GeV) for various Q2 values, as well as for our data.
Below I show the Nachtmann variable as a function of x. The dashed line
represents xi = x (i.e. Q2 = infinity and no mass corrections are
needed). There are several other curves where the Nachtmann variable was
calculated at various constant Q2 values. These curves show that as Q2
increases the curves approach the xi = x curve. The red and blue markers
represent our 4 and 5 pass data, which show that we fall pretty close to
the xi = x curve, with a slight deviation towards higher x. Given the
small deviation at high x from the xi = x curve and the fact that d2 at x
> 0.6 is around an order of magnitude smaller than d2 at x < 0.6, I do
not think we need to worry about target mass corrections.
Please let me know if you have any comments or suggestions.
Thanks
Matt
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