\contentsline {figure}{\numberline {1}{\ignorespaces BNL wide band neutrino beam spectrum}}{7}
\contentsline {figure}{\numberline {2}{\ignorespaces Neutrino produced muon angle distribution, data and Monte Carlo.}}{10}
\contentsline {figure}{\numberline {3}{\ignorespaces Oscillation nodes {\it vs.} distance.}}{11}
\contentsline {figure}{\numberline {4}{\ignorespaces Expected $\nu _\mu $ disappearance spectra, $\Delta m^2_{32} = 0.0025$}}{12}
\contentsline {figure}{\numberline {5}{\ignorespaces Expected $\nu _\mu $ disappearance spectra, $\Delta m^2_{32} = 0.001$}}{13}
\contentsline {figure}{\numberline {6}{\ignorespaces Statistical uncertainty for $\Delta m^2_{32}$ and $\mathop {\mathgroup \symoperators sin}\nolimits ^22\theta _{23}$}}{17}
\contentsline {figure}{\numberline {7}{\ignorespaces Statistical and systematic uncertainty for $\Delta m^2_{32}$ and $\mathop {\mathgroup \symoperators sin}\nolimits ^22\theta _{23}$, includes other's allowed regions.}}{18}
\contentsline {figure}{\numberline {8}{\ignorespaces The allowed region from the K2K experiment.}}{19}
\contentsline {figure}{\numberline {9}{\ignorespaces P($\nu _\mu \to \nu _e$), $\delta _{CP} = 45^\circ $.}}{21}
\contentsline {figure}{\numberline {10}{\ignorespaces P($\nu _\mu \to \nu _e$), $\delta _{CP} = 0,45^\circ $, matter effects.}}{22}
\contentsline {figure}{\numberline {11}{\ignorespaces P($\nu _\mu \to \nu _e$) and P($\mathaccent "7016\relax \nu _\mu \to \mathaccent "7016\relax \nu _e$), $\delta _{CP} = 45^\circ $, matter effects.}}{23}
\contentsline {figure}{\numberline {12}{\ignorespaces The $q^2$ distribution for NC($\nu $N$\pi ^0$) events}}{26}
\contentsline {figure}{\numberline {13}{\ignorespaces NC($\pi ^0$) energy spectrum}}{27}
\contentsline {figure}{\numberline {14}{\ignorespaces $\pi ^0$ misidentification probability and electron efficiency.}}{28}
\contentsline {figure}{\numberline {15}{\ignorespaces $\nu _\mu \to \nu _e$ background reconstructed energy spectrum.}}{29}
\contentsline {figure}{\numberline {16}{\ignorespaces $\nu _\mu \to \nu _e$ appearance spectrum $\Delta m^2_{32} = 0.0025$}}{31}
\contentsline {figure}{\numberline {17}{\ignorespaces $\nu _\mu \to \nu _e$ appearance spectrum $\Delta m^2_{32} = 0.0015$}}{32}
\contentsline {figure}{\numberline {18}{\ignorespaces Sensitivity to $\mathop {\mathgroup \symoperators sin}\nolimits ^2 2 \theta _{13}$ and $\Delta m^2_{31}$}}{34}
\contentsline {figure}{\numberline {19}{\ignorespaces Sensitivity to $\mathop {\mathgroup \symoperators sin}\nolimits ^2 2 \theta _{13}$ and $\Delta m^2_{31}$ with $\times $2 NC background.}}{35}
\contentsline {figure}{\numberline {20}{\ignorespaces Expected $\nu _e$ appearance at various $\delta _{CP}$}}{36}
\contentsline {figure}{\numberline {21}{\ignorespaces Event rate as function of $\delta _{CP}$ for various energies.}}{37}
\contentsline {figure}{\numberline {22}{\ignorespaces Sensitivity to $\delta _{CP}$ and $\mathop {\mathgroup \symoperators sin}\nolimits ^2 2 \theta _{13}$}}{38}
\contentsline {figure}{\numberline {23}{\ignorespaces Expected statistical uncertainties at test point of $\delta _{CP} = 45^\circ $ and $\mathop {\mathgroup \symoperators sin}\nolimits ^22\theta _{13} = 0.06$}}{40}
\contentsline {figure}{\numberline {24}{\ignorespaces Expected statistical + systematic uncertainties at test point of $\delta _{CP} = 45^\circ $ and $\mathop {\mathgroup \symoperators sin}\nolimits ^22\theta _{13} = 0.06$}}{41}
\contentsline {figure}{\numberline {25}{\ignorespaces Expected statistical + systematic uncertainties at test point of $\delta _{CP} = 135^\circ $ and $\mathop {\mathgroup \symoperators sin}\nolimits ^22\theta _{13} = 0.04$}}{42}
\contentsline {figure}{\numberline {26}{\ignorespaces Expected statistical + systematic uncertainties at test point of $\delta _{CP} = -90^\circ $ and $\mathop {\mathgroup \symoperators sin}\nolimits ^22\theta _{13} = 0.06$}}{43}
\contentsline {figure}{\numberline {27}{\ignorespaces P($\nu _\mu \to \nu _e$) with natural and unnatural mass hierarchy at $\delta _{CP} = 0,180^\circ $}}{44}
\contentsline {figure}{\numberline {28}{\ignorespaces Sensitivity to $\Delta m^2_31$ and $\mathop {\mathgroup \symoperators sin}\nolimits ^22\theta _{13}$ for natural and unnatural mass hierarchy at $\delta _{CP} = 0,180^\circ $}}{45}
\contentsline {figure}{\numberline {29}{\ignorespaces P($\mathaccent "7016\relax \nu _\mu \to \mathaccent "7016\relax \nu _e$), unnatural hierarchy, $\delta _{CP} = 0,180^\circ $}}{47}
\contentsline {figure}{\numberline {30}{\ignorespaces Cross section for quasielastic events. $\nu _e + n \to e^- + p$ for neutrinos and $\mathaccent "7016\relax \nu _e + p \to e^+ + n$ for anti-neutrinos. }}{48}
\contentsline {figure}{\numberline {31}{\ignorespaces Spectrum of electron-like events for $\mathop {\mathgroup \symoperators sin}\nolimits ^2 2 \theta _{13}=0$. The other important parameters are $\Delta m^2_{21} = 6\times 10^{-5} eV^2$ and $\mathop {\mathgroup \symoperators sin}\nolimits ^2 2 \theta _{12} =0.8$. }}{50}
\contentsline {figure}{\numberline {32}{\ignorespaces Spectrum of electron-like events for $\mathop {\mathgroup \symoperators sin}\nolimits ^2 2 \theta _{13}=0$. The other important parameters are $\Delta m^2_{21} = 6\times 10^{-5} eV^2$ and $\mathop {\mathgroup \symoperators sin}\nolimits ^2 2 \theta _{12} =0.8$. }}{51}
\contentsline {figure}{\numberline {33}{\ignorespaces 68, 90, and 99 percent confidence level contours for a measurement at the LMA best fit point.}}{52}
\contentsline {figure}{\numberline {34}{\ignorespaces Expected 90\% confidence level limit on $\Delta m^2_{21}$ versus $\mathop {\mathgroup \symoperators sin}\nolimits ^2 2 \theta _{12}$ if there is no excess of electron-like events.}}{53}
\contentsline {figure}{\numberline {35}{\ignorespaces Cosmic ray muon intensity as a function of depth in meters water equivalent (m.w.e) (from ref \cite {muonflux}).}}{56}
\contentsline {figure}{\numberline {36}{\ignorespaces Conceptual design of baseline UNO detector (from ref \cite {uno}).}}{57}
\contentsline {figure}{\numberline {37}{\ignorespaces AGS Proton Driver Layout.}}{59}
\contentsline {figure}{\numberline {38}{\ignorespaces BNL-Homestake and BNL-WIPP baselines}}{62}
\contentsline {figure}{\numberline {39}{\ignorespaces Beam line layout on BNL site}}{63}
\contentsline {figure}{\numberline {40}{\ignorespaces Schematic diagram of neutrino beamline hill}}{64}
\contentsline {figure}{\numberline {41}{\ignorespaces The design of the horn focusing system used for the E734 experiment adapted from the E889 proposal.}}{65}
\contentsline {figure}{\numberline {42}{\ignorespaces Neutrino energy spectrum with copper or Super-Invar target}}{66}
\contentsline {figure}{\numberline {43}{\ignorespaces Geometry of the focusing horns}}{68}
\contentsline {figure}{\numberline {44}{\ignorespaces Optimized $\nu _\mu $ neutrino energy spectrum with graphite target.}}{69}
\contentsline {figure}{\numberline {45}{\ignorespaces Optimized $\nu _e$ neutrino energy spectrum with graphite target.}}{70}
\contentsline {figure}{\numberline {46}{\ignorespaces Details of first horn and target positioning.}}{72}
\contentsline {figure}{\numberline {47}{\ignorespaces $\pi ^+$ production in various targets}}{74}
\contentsline {figure}{\numberline {48}{\ignorespaces $\pi ^-$ production in various targets}}{75}
\contentsline {figure}{\numberline {49}{\ignorespaces Secondary/Primary ratio {\it vs.} production radius.}}{77}
\contentsline {figure}{\numberline {50}{\ignorespaces Secondary/Primary ratio {\it vs.} target length.}}{78}
\contentsline {figure}{\numberline {51}{\ignorespaces The energy deposition is shown as a function of target axial position for a 28 GeV 100 TP beam.}}{79}