Hit Density Rates for MVD

Wieman 5/08/04
revised 5/13/04
revised 5/15/04
revised 5/24/04
revised 9/8/04

This version is for getting the average dose.

Don't use for peak

To estimate the number of pileup tracks

Note: dN/dz is written
as dNdz this is true for all derivatives in this analysis.

This simplifies to: (see space charge analysis code)

pseudo rapidity particle density for central

Measured min bias cross section at RHIC, F. Retiere

First history:

Minbias event rate, ZDC count rate

9.1 kHz at the start of a good run, see Run Log entry for run 5081011
03:21 21-March-2004, this must be at the time that the run has been started. This run peaks at 12 kHz according to the RICH scalers. There is another run that peaks higher at 15 kHz (phone call to Marco Van Leeuwen who checked RICH scalers. We will use 10 kHz as the nominal maximum rate because there will always be a start up delay. Improvements in luminosity are expected largely to be improvements in average, but RHIC II will have peak luminosity increases of 2-3 times the 15 kHz reported above.

Min bias cross section for ZDC coinc. (Jamie Dunlop)

The canonical design luminosity is 2X10²⁶/cm²/sec for Au+Au, so this is 5 times design.

New values from Roser:

http://www.star.bnl.gov/protected/future/planning-docs/roser-lumi.doc

average value for 2006 - 2009

doubles in 2010 and doubles again in 2011

Does the integral look right? We expect 2 for the integral over ~-1<h<1

Find z at h = 1

guess value

found value

OK checks out

Convolute the dh/dz distribution over the diamond

OK looks all right

central

min bias

One event hit density for silicon with central event

Hit density for a central event on the outer surface of the MVD

Hit density for a central event on the inner surface of the MVD

Hit density rate for Au Au interactions at the maximum luminosity at a given radius.

Hit density rate on the outer MVD outer barrel

Hit density rate on the inner MVD outer barrel

Hit density with 4 ms frame read time MVD outer barrel

Hit density with 4 ms frame read time, MVD inner barrel

Probability of a cell of area DA having signal from more than one hit

Assume that 9 pixels get a signal from each hit

Pixel area

Pixel pileup probability for central collision

MVD outer barrel

MVD inner barrel

Pixel pileup probability for 4 ms integration, L = 10^27 Hz/cm^2

MVD outer barrel

MVD inner barrel

Probability for incorrectly associating a background hit with the track

projection numbers for 1 GeV/c pions from Fabrice Excel spread sheet, May 21,04

mis-hit probability formula, see
GhostTracks.mcd

Probability for background hit assignment error

MVD outer, integrated background

MVD inner, integrated background

MVD outer, central collision Au+Au

MVD inner, central collision Au+Au