[b1_ana] b1 phone meeting April 29 (note time)
Narbe Kalantarians
narbe at jlab.org
Wed May 1 10:44:09 EDT 2013
I'll try my best to join today, at 15:00.
Narbe
On 05/01/2013 09:18 AM, Karl Slifer wrote:
>
> Hi all,
>
> The methodology is the central question and I think we have to resolve
> any lingering doubts today. I highly encourage that everyone really
> read Oscar's note (Eq 19 and 20) and his last email before we discuss
> today.
>
> I would really not like to delay till tomorrow if possible since time
> is so tight. I hope we can get a majority to participate at 3pm.
> Please let me know if you can't.
>
> -Karl
>
>
>
> ---
> Karl J. Slifer
> Assistant Professor
> University of New Hampshire
> Telephone : 603-722-0695
>
>
> On Tue, Apr 30, 2013 at 5:59 PM, O. A. Rondon <or at virginia.edu
> <mailto:or at virginia.edu>> wrote:
>
> Hi Dustin,
>
> Dustin Keller wrote:
> > You can only benefit from the systematic reduction if you us Azz as
> > discussed yesterday. But at this point I am not partial.
> >
> > dustin
> >
>
> In the experiment, we only have counts. What we need to show to
> the PAC
> is how we go from the counts Npol and Nu, to Azz or b1. A measured
> quantity needs to be on one side and physics on the other. Lets say we
> start with your ratio Npol/Nu - 1 = Pzz*Azz, which only requires
> Pzz >0.
>
> We need to prove that the lhs reproduces the rhs. We have, in general,
> N = Q*e*A*l*sigma. But since N are counts from everything in the
> target,
> it is not a simple matter of canceling quantities that stay the same
> when the polarization changes:
>
> Npol = Qpol*epol*Apol*lpol*sigma_pol
> = Qpol*epol*Apol*lpol*[(sigma_N+3*sigma_Dpol)*pf +
> sigma_He*(1-pf)]
>
> Nu = Qu*eu*Au*lu*[(sigma_N+3*sigma_D)*pf + sigma_He*(1-pf)]
>
> sigma_N and sigma_He are the same, always unpol. And
> sigma_Dpol = sigma_D(1+Pzz*Azz).
>
> Then, since Apol = Au = A, and lpol = lu = l,
>
> Npol/Nu =
> (Qpol/Qu)*(epol/eu)*[(sigma_N+3sigma_D(1+
> Azz*Pzz))*pf+..)]/[(sigma_N+..
>
> where I just put ..., because I don't see how it can be simplified to
> just leave Azz*Pzz + 1, to equal the rhs.
>
> On the other hand, if instead of taking the ratio Npol/Nu first,
> we take
> the difference first, it's indeed possible to isolate the required
> Pzz*b1 on on side, like I do in my draft, eq. (19) or (20). And in
> fact, we don't even need to bother with Azz, because we get b1 without
> having to multiply Azz by F1, introducing one more systematic error.
>
> So, in summary, once one substitutes all the ingredients for your
> sigmas
> we get, or ought to get, eq.(19) or (20) back.
>
> In both of those equations, the systematics for Pzz, A, and l(pf) are
> normalization factors, just like we want them to be, for control of
> systematics, but the charge and the detector efficiency are not common
> factors, they depend on the period when the data are taken, either
> pol.
> or unpol.
>
> My point is that for the proposal, we must spell this all out, to give
> explicit sources of errors, and to calculate times or statistical
> errors
> correctly. For example, the statistical error must be sqrt(Npol +
> N_U) ~
> sqrt(2N), because it is just the error of a difference, etc.
>
> We need to have a consensus on how the method is going to be described
> in the proposal, which needs to be done in the most precise way to
> avoid
> any confusion due to ambiguities.
>
> Cheers,
>
> Oscar
>
>
> > On Tue, 30 Apr 2013, O. A. Rondon wrote:
> >
> >> Hi,
> >>
> >> Since I couldn't stay until the end of the meeting, and I don't
> think
> >> there will be minutes of it, I would like to share some ideas
> for the
> >> proposal draft.
> >>
> >> Basically, what we need is an equation with the measured
> quantity on one
> >> side and b1 or Azz on the other. Based on what I think the
> consensus
> >> was, to measure polarized minus unpolarized counts on a single
> cup with
> >> the target field aligned along the beam, I've updated the draft
> of my
> >> method, see subsection 0.2, which discusses this. Eq. (19) or
> eq. (20)
> >> meet the conditions stated above. This is the approach I would
> subscribe
> >> to, unless there is another version that is shown to also
> represent the
> >> procedure, which should be circulated as soon as possible. The
> draft
> >> is here
> >> http://twist.phys.virginia.edu/~or/b1/b1_method-v2.pdf
> <http://twist.phys.virginia.edu/%7Eor/b1/b1_method-v2.pdf>
> >>
> >> Cheers,
> >>
> >> Oscar
> >>
> >> _______________________________________________
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> >>
> >
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