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\begin{document}

\begin{titlepage}
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\vspace*{60mm}

\begin{center}
{\LARGE \bf
Research Plan for Spin Physics at RHIC}
\end{center}
\par \vspace{2mm}

\par \vspace{2mm}
\begin{center} {\large \bf Abstract} 
\end{center}
\begin{quote}
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\section{Spin plan schedule  (Gerry)}

In the charge, we were requested to consider two running schedules: 10 and 5
physics weeks on spin per year.  These follow, showing {\it example} plans.
We emphasize that we expect that the actual run plan will be developed from
the experiment beam use proposals.  Our consideration of these scenarios
should not suggest that we advocate a change to this successful approach.

A key issue is the completion of experiment hardware to run the W physics
program.  The required hardware are the muon trigger improvements for PHENIX,
and a forward tracker for STAR.  The PHENIX improvements are being proposed to NSF
(\$1.8M for resistive plate chambers) and to the Japan Society for Physical Sciences
(\$1.0M for muon tracking readout electronics), with a planned completion for
the 2008 RHIC run.  The STAR tracker is planned to be proposed to DOE (estimated
\$5M) in 2006, and to be complete for the 2010 run.

The example plan below for the 10 physics week/year case is "technically driven".
The plan assumes that the funding is received, and the work is completed as planned.
For the 5 week plan, the delay in reaching luminosity goals for $\sqrt{s}$=200~GeV
delays the start of the W running considerably, by greater than three years.
An early completion of the W hardware is less of an issue for this case.

A second key issue is machine performance.  We assume that we reach the polarization
goal of 70\% in 2006.  For luminosity, we assume in the example plan that we reach
two thirds of the "maximum" luminosity (see section 3).  This assumption is discussed
there.

A third key issue is experiment availability, in which we include up time, live time,
and the fraction of the collision vertex accepted by the experiment.  This results
in "recorded luminosity" for each experiment.  We have taken the up time to be 70\%
for each experiment, as has been achieved.  The live time for PHENIX is 90\%, due
to multi-event buffering; the live time for STAR is 50\%.  The online data selection
adjusts thresholds, for example the lower $p_T$ requirement, to reach these live time
levels.  The PHENIX vertex acceptance for the 200~GeV running is 60\%, requiring the
vertex to be within 20 cm of the IP.  We have used this acceptance also for
500~GeV.  The STAR vertex acceptance contains all collisions.  The overall factor
for recorded/delivered luminosity for both experiments is 35\%.  The physics sensitivities
shown in section 2 also include apparatus acceptance and event selection acceptance.
 
\subsection{10 physics weeks}

Table~\ref{tab:schedule10} shows the example spin plan for 10 physics weeks per year, with a
{\it technically driven} schedule.  The 200~GeV running
continues through 2008, with a total of 300~pb$^{-1}$ delivered, and 100~pb$^{-1}$ recorded
luminosity by both PHENIX and STAR.  By the year 2009, the PHENIX muon triggering improvements
are complete, and the STAR forward tracking is partially in place, and complete for the
2010 run.  The year 2009 is considered an engineering run, for both the accelerator and
the experiments.  By the completion of the year 2012, for 500~GeV, 800~pb$^{-1}$ luminosity
is delivered, and 300~pb$^{-1}$ recorded by each experiment.  These luminosities and
polarizations provide the physics sensitivities presented in section 2.
  
\begin{table}[tbh]
\centering
\caption{RHIC spin example schedule, 10 physics weeks per year,
technically driven.}\label{tab:schedule10}
\small
\begin{tabular}{lcccccccc}
\hline\hline
Fiscal year              & Spin Weeks & CME(GeV) & P & L(pb$^{-1}$ & Remarks \\
\hline
2002                   & 8          & 200      & 0.15 &   & First pol. pp collisions! \\
				&           &          &      &   & Transverse spin \\
2003                   & 10         & 200      & 0.27 &   & Spin rotators commissioned, \\
                       &            &          &      &   & first helicity measurements \\
2004                   & 1          & 200      & 0.4  &   & New betatron tune developed,   \\
                       &            &          &      &   & first jet absolute meas. P  \\
2005                   & 9          & 200      & 0.5  & 10-20 & $A_{LL}(\pi^0 ,jet)$, \\
                       &            &          &      &   &  also 500 GeV studies  \\
2006                   & 10         & 200      & 0.7  &   & AGS Cold Snake commissioned, \\
                       &            &          &      &   & NEG vacuum coating complete  \\
2007                   & 0          &          &      &   &    \\
                       &            &          &      &   &    \\
2008                   & 20         & 200      & 0.7  &   & Direct $\gamma$, completes  \\
                       &            &          &      &   & goal for 200 GeV running  \\
2009                   & 10         & 500      & 0.7  &   & PHENIX muon arm trigger   \\
                       &            &          &      &   & installed, eng. run  \\
2010                   & 10         & 500      & 0.7  &   & STAR forward tracker  \\
                       &            &          &      &   & installed, W physics  \\
2011                   & 10         & 500      & 0.7  &   &    \\
                       &            &          &      &   &    \\
2012                   & 10         & 500      & 0.7  &   & Completes 500 GeV goal \\
                       &            &          &      &   &   \\
\hline\hline
\end{tabular}
\normalsize
\end{table}



\subsection{5 physics weeks}

Table~\ref{tab:schedule5} gives the example spin plan for 5 physics weeks per year, which we have
interpreted to mean 10 physics weeks each two years to reduce the end effects.  As has
been presented in section 3, the delay in the RHIC spin physics results is actually
greater than a factor of two, compared to 10 physics weeks each year.  This is due to
an assumed "turn-on" period of reaching the instantaneous luminosity maximum that is based on our
experience, from the heavy ion program.  In any case, the programs are stretched out to
over 6 years for the gluon polarization measurements at 200~GeV, and an additional 6 years
or more for the W physics program.  The proposed measurements would be completed in
2018 or later.

Table 5.2  RHIC spin example schedule, 5 physics weeks per year.

\begin{table}[tbh]
\centering
\caption{RHIC spin example schedule, 10 physics weeks per year.}\label{tab:schedule10}
\small
\begin{tabular}{lcccccccc}
\hline\hline
Fiscal year              & Spin Weeks & CME(GeV) & P & L(pb$^{-1}$ & Remarks \\
\hline
2005                   & 9          & 200      & 0.5  & 10-20 & $A_{LL}(\pi^0 ,jet)$, \\
                       &            &          &      &   &  also 500 GeV studies  \\
2006-2007              & 10         & 200      & 0.7  &   & AGS Cold Snake commissioned, \\
                       &            &          &      &   & NEG vacuum coating complete  \\
2008-2009              & 10         & 200      & 0.7  &   & Direct $\gamma$   \\
                       &            &          &      &   &    \\
2010-11                & 10         & 200      & 0.7  &   & completes goal  \\
                       &            &          &      &   & for 200 GeV running  \\
20012-13               & 10         & 500      & 0.7  &   & PHENIX muon arm trigger   \\
                       &            &          &      &   & installed, eng. run  \\
2014-2015              & 10         & 500      & 0.7  &   & STAR forward tracker  \\
                       &            &          &      &   & installed, W physics  \\
2016-2017              & 10         & 500      & 0.7  &   &    \\
                       &            &          &      &   &    \\
2018-2019              & 10         & 500      & 0.7  &   & Completes 500 GeV goal \\
                       &            &          &      &   &   \\
\hline\hline
\end{tabular}
\normalsize
\end{table}

\end{document}







