Hi Everyone,

Attached are two wq phase space plots.  I 
hope they help for Friday's discussions.

The first file is phase.ps.gz.  It was 
generated using the newest version of MCEEP 
for the suggested HRSe kinematics I sent out 
yesterday.  Instead of a real physical model, 
I selected the continuum and used an s-shell 
harmonic oscillator.  I toggled on both the 
Hall A spectrometers and radiative effects.
I then drew trapezoids around each distribution 
to guide the eye.  The largest trapezoid 
corresponds to E_beam = 4.795 GeV.  The middle 
trapezoid corresponds to E_beam = 1.550 GeV.  
The small trapezoid corresponds to 
E_beam = 1.245 GeV.  Note that there is nothing 
magical about the intermediate beam energy I 
suggested.  I just chose it to optimize the 
separation level arm vt/vl for a third epsilon 
point for the perpendicular kinematics settings.  
It may even be that 1.500 GeV cannot be run 
during the experiment time window!  But a third
epsilon would be extremely valuable.
  
The second file is physics.ps.gz.  It was also 
generated using the newest version of MCEEP 
for the kinematics I sent out yesterday.  Here, 
I selected bound state and chose 3He option 20.
I toggled on both the Hall A spectrometers and 
radiative effects.  The trapezoids are those 
drawn in the phase space plot explained above.  

The plots indicate just how huge a hit in 
useable counts one takes in matching forward
and backward angles.  They also indicate that
to truly extract reasonable rate estimates,
one needs to work in 2D wq space - projections
out onto 1D axes don't do justice to what is
going on.

The next stage in the simulations as I see it
is to apply the trapezoidal cut defined by 
the wq phase space at the backward HRSe angle
(this is the smallest trapezoid on the 
scatterplots) to each of the forward angle 
Ntuples (whichever epsilon(s) they may turn
out to be at) to see how the Emiss and Pmiss 
distributions are affected.  After this, the
EmissPmiss phase space can be matched by tweaking
the HRSh momentum (Emiss) or HRSh angle (Pmiss).
Well, you could do it other ways, but I think 
the HRSe should be left alone.  Anyway, once all 
this is done, I will have wqEmissPmiss phase 
space matched rates, which can be dropped into 
runtime optimizing codes for the structure 
functions.

To proceed any further, I need the actual 
kinematics that we intend to run.  That is, I
need to know if a third epsilon is viewed by
others to be as important as I think it is,
and if so, what the third beam energy will be.  
I can then run theta_pq at each E_beam for the
presently chosen Pmiss points, and we can move on
from there as necessary.  I have all the 
machinery in place.

I hope a concensus can be reached on Friday.
Feedback is always appreciated.

Best Regards,

Kevin