\relax \@writefile{toc}{\contentsline {section}{\numberline {I}Contribution to the Hall C 12 GeV Upgrade}{3}{}} \@writefile{toc}{\contentsline {section}{\numberline {II}Abstract}{4}{}} \citation{emc_cu} \citation{slac_e139} \citation{emc_cu} \citation{slac_e139} \citation{emc_orig} \citation{geesaman_review} \citation{norton_review} \citation{slac_e139} \citation{hermes_f2rat} \citation{e03103} \citation{geesaman_review} \citation{norton_review} \citation{cloet_emc} \citation{drell_yan} \@writefile{toc}{\contentsline {section}{\numberline {III}Introduction}{5}{}} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Cross section ratios from copper and iron to deuterium from the EMC\nobreakspace {}\cite {emc_cu} and SLAC E139\nobreakspace {}\cite {slac_e139} experiments.}}{5}{}} \newlabel{emc_fig}{{1}{5}{}{}{}} \citation{hermes_polpdfs} \citation{cloet_privatecomm} \citation{cloet_emc} \citation{cloet_emc} \@writefile{toc}{\contentsline {section}{\numberline {IV}Scientific motivation: Flavor Dependence of the EMC Effect}{6}{}} \citation{cloet_privatecomm} \citation{sick_and_day} \citation{cloet_privatecomm} \citation{sick_and_day} \citation{lu_ma} \citation{lu_ma} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Diagram of semi--inclusive pion production from the nucleon. In this picture, the observed hadron (in this case the $\pi ^+$) serves as a ``tag'' of the flavor of the struck (up) quark.}}{7}{}} \newlabel{flavor_tag}{{2}{7}{}{}{}} \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Calculation of the EMC Effect in gold from\nobreakspace {}\cite {cloet_privatecomm}. Here, ``gold'' actually refers to a calculation for nuclear matter, but assuming the same $N/Z$ as gold. In this model, nuclear quark distributions are modified via interactions with vector and scalar fields in the nucleus. The solid red curve shows the overall modification of the nucelar structure function,$F_2$. The isospin dependence of the interaction generates a different degree of modification for the up and down quark distributions (shown by the green and blue curves respectively). Data points are from\nobreakspace {}\cite {sick_and_day}.}}{8}{}} \newlabel{ian_fig}{{3}{8}{}{}{}} \@writefile{toc}{\contentsline {section}{\numberline {V}Formalism}{8}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {A}Nuclear Parton Distribution Functions}{9}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {B}Flavor Dependence of the EMC Effect}{9}{}} \newlabel{pion_sum}{{8}{10}{}{}{}} \newlabel{pion_diff}{{9}{10}{}{}{}} \newlabel{pion_ratio}{{11}{10}{}{}{}} \citation{kumano} \citation{binnewies_ff} \citation{geiger_thesis} \citation{bosted} \citation{cloet_privatecomm} \citation{cloet_privatecomm} \citation{kumano} \citation{mrst01} \citation{kumano} \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Calculations of the quantities described in Eqns.\nobreakspace {}9{}{}{}\hbox {},and 11{}{}{}\hbox {}. In these calculations we show each observable under the assumption that 1) the EMC effect is the same for up and down quarks(black), 2) the EMC effect is carried entirely by the up valence quark (blue) and 3) the EMC effect is carried entirely by the down valence quark (red)). We also show the calculation of\nobreakspace {}\cite {cloet_privatecomm} which yields effects similar to those predicted by the ``all up'' scenario.}}{12}{}} \newlabel{emc_flav}{{4}{12}{}{}{}} \citation{hermes_mult} \citation{binnewies_ff} \citation{EMC_hadatten} \citation{hermes_hadatten} \citation{clas_hadatten} \citation{hermes_hadatten} \citation{hermes_hadatten} \citation{hermes_hadatten} \citation{hermes_hadatten} \@writefile{toc}{\contentsline {subsection}{\numberline {C}Medium Modifications of the Fragmentation Functions}{13}{}} \newlabel{multi}{{12}{13}{}{}{}} \@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Hadron attenuation ratios as measured at HERMES\nobreakspace {}\cite {hermes_hadatten}. Here we show one sample plot for positively charged hadrons - similar results for negatively charged hadrons also can be found in Ref.\nobreakspace {}\cite {hermes_hadatten}.}}{14}{}} \newlabel{hermes_hadatten_fig}{{5}{14}{}{}{}} \citation{tigran} \citation{cteq5} \citation{binnewies_ff} \@writefile{toc}{\contentsline {section}{\numberline {VI}Factorization at a 12 GeV JLab}{15}{}} \@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Cross sections for $H,D(e,e'\pi ^\pm )$ from Hall C experiment 00--108. Curves denote calculations using a simple factorization picture as described in the text. Closed symbols have been corrected for backgrounds from exclusive $\rho $ production.}}{16}{}} \newlabel{meson_duality_sigma}{{6}{16}{}{}{}} \@writefile{toc}{\contentsline {section}{\numberline {VII}Experimental Overview}{16}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {A}Kinematics}{16}{}} \citation{part1} \@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Ratio of proton to deuterium results for the sum (top) and difference (bottom) of the $\pi ^+$ and $\pi ^-$ cross sections. The ratios are independent of $z$ up to $z\approx 0.7$.}}{17}{}} \newlabel{meson_duality_rats}{{7}{17}{}{}{}} \@writefile{lot}{\contentsline {table}{\numberline {I}{\ignorespaces Kinematics proposed for this measurement.}}{18}{}} \newlabel{tab:emc_kin}{{I}{18}{}{}{}} \citation{kumano} \citation{binnewies_ff} \citation{geiger_thesis} \citation{wiser_fit} \@writefile{toc}{\contentsline {subsection}{\numberline {B}Coincidence and Singles Rate Estimates}{19}{}} \citation{rolf_pac30} \@writefile{lot}{\contentsline {table}{\numberline {II}{\ignorespaces Singles rates in the HMS (hadron arm) at positive and negative polarity from deuterium. Rates are calculated assuming a 10 cm liquid deuterium target and a beam current of 25 (50) $\mu A$ at positive (negative polarity). Different beam currents are used for the positive and negative polarity to keep the total event rate in the HMS roughly constant between the two polarities. Singles rates for the 6\% gold target are expected to be about 2.5 times smaller based on previous experience in Hall C.}}{20}{}} \newlabel{tab:HMSsingles_deut}{{II}{20}{}{}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {C}Particle Identification}{20}{}} \citation{e01107} \citation{pict_prl} \@writefile{lot}{\contentsline {table}{\numberline {III}{\ignorespaces Singles rates in the SHMS (electron arm) from a 10 cm deuterium target and 6\% gold target. $\pi ^-$ and $K^-$ rates for gold are estimated by scaling the deuterium rates by a factor of 1/2.5. The assumed beam current is 50\nobreakspace {}$\mu A$, although the $\pi ^+$ running will be at only 25\nobreakspace {}$\mu A$. Note that the total rate in the SHMS is low enough (always less than 200 kHz) that uncertainties due to rate dependent efficiency differences should be minimal.}}{21}{}} \newlabel{tab:SHMSsingles_deut}{{III}{21}{}{}{}} \@writefile{lot}{\contentsline {table}{\numberline {IV}{\ignorespaces Coincidence rates from a 10 cm deuterium target and 6\% gold target. $\pi ^-$ rates are for 50\nobreakspace {}$\mu A$ and $\pi ^+$ are at 25\nobreakspace {}$\mu A$.}}{22}{}} \newlabel{tab:coinrate}{{IV}{22}{}{}{}} \citation{pythia} \citation{patty_thesis} \citation{cynthia_thesis} \@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Schematic of the planned detector stack in the SHMS. An optional Argon--Neon \v {C}erenkov placed before the drift chambers will not be used for this experiment since the lead--glass calorimeter and heavy gas \v {C}ereknov will be sufficient to reject the relatively modest rate of charged pions in the SHMS.}}{23}{}} \newlabel{shms_detstack}{{8}{23}{}{}{}} \@writefile{toc}{\contentsline {section}{\numberline {VIII}$\rho $ and $N(e,e'\pi ^\pm )N'$ Radiative Backgrounds}{23}{}} \citation{bebek} \citation{brauel} \citation{maid} \@writefile{lot}{\contentsline {table}{\numberline {V}{\ignorespaces Fractional contribution to the yield of semi--inclusive pions produced from deuterium from pions resulting from the decay of diffractively produced rho, and the radiative tail from exclusive pion production.}}{24}{}} \newlabel{tab:rho_and_rad}{{V}{24}{}{}{}} \@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces Contribution of pions coming from the decay of diffractively produced $\rho $ particles to the semi--inclusive yield of $\pi ^+$ from deuterium. The top panel shows the fraction for the ``$x$-scan'' kinematics at fixed $z$ (see Table\nobreakspace {}I{}{}{}\hbox {}, while the bottom panel shows the fraction as a function of $z$ at fixed $x=0.3$.}}{25}{}} \newlabel{fig:rhofrac}{{9}{25}{}{}{}} \@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces Contribution from the radiative tail of exclusive pion production to semi--inclusive $\pi ^+$ production from deuterium. Top and bottom panels are as described in Figure\nobreakspace {}9{}{}{}\hbox {}.}}{26}{}} \newlabel{fig:radfrac}{{10}{26}{}{}{}} \@writefile{toc}{\contentsline {section}{\numberline {IX}Uncertainties and Projected Results}{26}{}} \@writefile{lot}{\contentsline {table}{\numberline {VI}{\ignorespaces Estimate of ratio of real to random coincidences for a 10 cm deuterium target. Rates are shown for actual currents to be used in data--taking. It is assumed that the singles rates contributing to the random coincidences come from the particle species of interest, i.e. pions in the HMS and electrons in the SHMS. Random coincidence rates are estimated assuming a 2\nobreakspace {}ns coincidence window. The amplification of the statistical error will be non--trivial due to the significant random backgrounds; for the $x$-scan data at fixed, the ratio of real to random coincidences is on the order of 1. The real to random ratio for the gold running is not shown, but is similar at each setting.}}{27}{}} \newlabel{tab:realtorandom}{{VI}{27}{}{}{}} \@writefile{lot}{\contentsline {table}{\numberline {VII}{\ignorespaces Statistics goals for each setting. We expect $\approx 1.5\%$ statistical precision for each $x$ setting of the $z=0.5$ scan. Larger numbers of events are required due to the $\approx 1:1$ real to random coincdence ratio. We take fewer events for the extra $z$ setting at $x=0.5$ since these data are primarily for systematic checks.}}{28}{}} \newlabel{tab:stats}{{VII}{28}{}{}{}} \citation{cloet_privatecomm} \citation{cloet_privatecomm} \citation{cloet_privatecomm} \citation{cloet_privatecomm} \citation{cloet_privatecomm} \citation{cloet_privatecomm} \citation{hermes_hadatten} \citation{clas_hadatten} \@writefile{lot}{\contentsline {table}{\numberline {VIII}{\ignorespaces Dominant systematic uncertainties on the super-ratio of of $\pi ^+/\pi ^-$ yields between gold and deuterium.}}{29}{}} \newlabel{tab:errorsummary}{{VIII}{29}{}{}{}} \@writefile{toc}{\contentsline {section}{\numberline {X}Relation to Other Experiments}{29}{}} \citation{clas_12gevhadatten} \@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces Projected results for the $\pi ^+/\pi ^-$ super-ratio and the difference ratio vs $x$ at $z=0.5$, along with calculations of the quantities described in Eqns.\nobreakspace {}9{}{}{}\hbox {},and 11{}{}{}\hbox {}. In these calculations we show each observable under the assumption that 1) the EMC effect is the same for up and down quarks(black), 2) the EMC effect is carried entirely by the up valence quark (blue) and 3) the EMC effect is carried entirely by the down valence quark (red)). We also show the calculation of\nobreakspace {}\cite {cloet_privatecomm}. The inner error bars are statistical uncertainties and the outer error bars are the quadrature sum of statistical and systematic uncertainties.}}{30}{}} \newlabel{proj1}{{11}{30}{}{}{}} \@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces Projected results for the $\pi ^+/\pi ^-$ super-ratio and the difference ratio vs $z$ at $x=0.5$, along with calculations of the quantities described in Eqns.\nobreakspace {}9{}{}{}\hbox {} and 11{}{}{}\hbox {}. In these calculations we show each observable under the assumption that 1) the EMC effect is the same for up and down quarks(black), 2) the EMC effect is carried entirely by the up valence quark (blue) and 3) the EMC effect is carried entirely by the down valence quark (red)). We also show the calculation of\nobreakspace {}\cite {cloet_privatecomm}, but at $x=0.5$ the quark-meson coupling calculations agree exactly with the u-only calculation. The inner error bars are statistical uncertainties and the outer error bars are the quadrature sum of statistical and systematic uncertainties.}}{31}{}} \newlabel{proj2}{{12}{31}{}{}{}} \citation{cloet_privatecomm} \@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces Projected results for the $\pi ^+/\pi ^-$ super-ratio and the difference ratio vs $z$ (left) and vs $\nu $ (right) at $x=0.3$, along with calculations of the quantities described in Eqns.\nobreakspace {}9{}{}{}\hbox {} and 11{}{}{}\hbox {}. In these calculations we show each observable under the assumption that 1) the EMC effect is the same for up and down quarks( black), 2) the EMC effect is carried entirely by the up valence quark (blue) and 3) the EMC effect is carried entirely by the down valence quark (red)). Since there is no EMC effect at $x=0.3$ they do not show any flavor dependence either. We also show the calculation of\nobreakspace {}\cite {cloet_privatecomm}.}}{32}{}} \newlabel{proj3}{{13}{32}{}{}{}} \@writefile{toc}{\contentsline {section}{\numberline {XI}Beam Time Request}{33}{}} \@writefile{lot}{\contentsline {table}{\numberline {IX}{\ignorespaces Running time for production data from gold and deuterium targets. A 10 cm deuterium and 6\% r.l. gold target is assumed. Times are for 50\nobreakspace {}$\mu A$ (25 $\mu A$) beam current on target for $\pi ^-$ ($\pi ^+$) running (except for the first two kinematic points where the current is 30\nobreakspace {}$\mu A$ (15 $\mu A$). Time estimates for deuterium running assume 40,000 counts for each setting at each polarity, excpet at the $x=0.5$, $z=0.4$,0.6,and 0.7. settings. 40,000 counts is assumed for all gold settings except for the $x=0.5,0.6$, $z=0.5$ settings, where 20,000 counts are assumed and the $x=0.5$, $z=0.4$,0.6,and 0.7 settings where 10,000 counts are assumed.}}{33}{}} \newlabel{tab:prod_time}{{IX}{33}{}{}{}} \bibcite{emc_orig}{{1}{}{{}}{{}}} \bibcite{geesaman_review}{{2}{}{{}}{{}}} \bibcite{norton_review}{{3}{}{{}}{{}}} \bibcite{slac_e139}{{4}{}{{}}{{}}} \bibcite{hermes_f2rat}{{5}{}{{}}{{}}} \@writefile{lot}{\contentsline {table}{\numberline {X}{\ignorespaces Total beam time request for this experiment.}}{34}{}} \@writefile{toc}{\contentsline {section}{\numberline {XII}Acknowledgments}{34}{}} \@writefile{toc}{\contentsline {section}{\numberline {}References}{34}{}} \bibcite{e03103}{{6}{}{{}}{{}}} \bibcite{cloet_emc}{{7}{}{{}}{{}}} \bibcite{sick_and_day}{{8}{}{{}}{{}}} \bibcite{lu_ma}{{9}{}{{}}{{}}} \bibcite{drell_yan}{{10}{}{{}}{{}}} \bibcite{emc_cu}{{11}{}{{}}{{}}} \bibcite{hermes_polpdfs}{{12}{}{{}}{{}}} \bibcite{cloet_privatecomm}{{13}{}{{}}{{}}} \bibcite{kumano}{{14}{}{{}}{{}}} \bibcite{binnewies_ff}{{15}{}{{}}{{}}} \bibcite{geiger_thesis}{{16}{}{{}}{{}}} \bibcite{mrst01}{{17}{}{{}}{{}}} \bibcite{bosted}{{18}{}{{}}{{}}} \bibcite{hermes_mult}{{19}{}{{}}{{}}} \bibcite{EMC_hadatten}{{20}{}{{}}{{}}} \bibcite{hermes_hadatten}{{21}{}{{}}{{}}} \bibcite{clas_hadatten}{{22}{}{{}}{{}}} \bibcite{tigran}{{23}{}{{}}{{}}} \bibcite{cteq5}{{24}{}{{}}{{}}} \bibcite{rolf_pac30}{{25}{}{{}}{{}}} \bibcite{part1}{{26}{}{{}}{{}}} \bibcite{e01107}{{27}{}{{}}{{}}} \bibcite{pict_prl}{{28}{}{{}}{{}}} \bibcite{wiser_fit}{{29}{}{{}}{{}}} \bibcite{pythia}{{30}{}{{}}{{}}} \bibcite{patty_thesis}{{31}{}{{}}{{}}} \bibcite{cynthia_thesis}{{32}{}{{}}{{}}} \bibcite{bebek}{{33}{}{{}}{{}}} \bibcite{brauel}{{34}{}{{}}{{}}} \bibcite{maid}{{35}{}{{}}{{}}} \bibcite{clas_12gevhadatten}{{36}{}{{}}{{}}} \global \chardef \firstnote@num\z@ \relax \global\NAT@numberstrue \bibstyle{apsrev} \newlabel{LastBibItem}{{36}{36}{}{}{}} \newlabel{LastPage}{{}{36}}