[b1_ana] Fwd: Hall C DAQ rates

[O. A. Rondon]

Hi Ellie,

Since we said we'd all take a look at the numbers, I see this for the
x = 0.1 point, for 12 beam hours:

N = 12*3600*1000Hz = 43.2E6 (using your total rate).

The exact stat. error, based on

f*Azz*Pzz/2 = Np/Nu - 1

so

Azz = 2/(f*Pzz)(Np/Nu - 1)

is

dAzz = 2/(f*Pzz*Nu)*sqrt(Np + (Np/Nu)^2*Nu)
     ~ 2/(f*Pzz)*sqrt(2/N)

where Np ~ Nu ~ N.

Substituting N above, Pzz = 0.2, f = 0.29 (optimistic, it's more like 0.25)

dAzz = 0.0074

Your plot shows dAzz ~ 0.005, which is consistent with having yet to
include the sqrt(2) factor.

So I think the times and errors are right, assuming the rates are too.

Cheers,

Oscar


Elena Long wrote:
> Good afternoon,
> 
> I think that's not going to be an issue. It looks like our maximum 
> rates will be below 5kHz. For fixed results, please see 
> https://hallcweb.jlab.org/wiki/index.php/Elong-13-05-01#Fixed_Rates_Code 
> which I'll discuss tomorrow. When are we meeting, by the way?
> 
> Take care,
> Ellie
>