[Clascomment] Electroproduction of the Lambda(1405)
Reinhard Schumacher
schumacher at cmu.edu
Wed Jul 3 17:35:12 EDT 2013
Hello Charles,
Thank you for your comments on the paper that you posted on the CLAS
review web site. A revised version of the paper (v2) has been posted
there. Below we have replies to your questions.
Sincerely,
Reinhard and Haiyun
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Charles Hyde:
I have a few questions about the lineshape fits.
First of all, you say you tried both coherent and incoherent two-pole
fits, with nearly equivalent results. Did you try a coherent fit with
two nearly degenerate poles of strongly unequal widths? This could
produce a broad peak spanning the entire Lambda(1405) region with a
narrower dip near the middle. Depending upon the phase, the dip can be
asymmetric. This might produce as good a fit as the incoherent fit, but
with somewhat different conclusions.
>>> Yes, we mention in the paper that a coherent fit was tried, just
the way you describe it. The result was that the fit was qualitatively
(by eye) about the same quality as the incoherent fit, and the chi^2 was
slightly, but not a lot, worse. With the poor statistics we have, there
is no discriminatory power to start teasing apart the effects of
interferences.
Second, In Figure 7 and 8, did you constrain the 8 fits (incoherent
two-pole)to have the same pole positions and widths (even if they were
globally free). From the figures, it appears you did not. If not, I
don't think it is a consistent fit and I don't think the chisquare is
particularly significant, since you are (possibly) changing the fit
parameters with every change in the bin size.
>>> The revised paper uses fixed width and positions for each of the
two BW line shapes across all the panels in the fit. See Fig. 8.
Another comment on Fig 7.
The binning of the red fit curve is very strange. At large mass, it
looks like a histogram with the same bin size as the data.
At low mass, it looks like a smooth curve with jagged breaks at each bin
edge. This is very strange. What is going on?
There was a strange mistake due to the way RooFit plots results of fits.
That accounts for the wrong-looking scaling in some panels. It has
been fixed. The smooth/jagged appearance is caused by the fact that the
fit combines histogrammed information and smooth functional forms in the
same fit function. That's why the sometimes smooth-looking curve takes
odd jumps.
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