\vspace{-5pt}
\subsection{Past accomplishments and works in progress}
\vspace{-5pt}

\label{sec:past}

The ASU Meson Physics Group has been working on electro- and photo-produced reactions from the proton.
For the electro-production work we have primarily utilized undergraduates to isolate a variety of 
strangeness containing states. 
The graduate students work on GlueX photoproduction data to uncover $\Xi^\ast$ baryons, and 
meson states that decay $K^+ K^- \pi^0$. 
%to isolate resonant mesons that decay
%through $K^+ K^- \pi^0$ and to isolate excited $\Xi$ baryon states.

\begin{wrapfigure}[]{r}{0.4\textwidth}
\vspace{-15pt}
\begin{center}
\includegraphics[width=\linewidth]{osarSymp.png}
\end{center}
\vspace{-20pt}
\caption{Invariant mass of $K^+ \Lambda(1520)$.
\newline
\vspace{-8pt}
}
{\label{fig:osarSymp}}
\end{wrapfigure}
Due to the transient and unpredictable nature of including undergraduates in advanced scientific study, 
the direction of the undergraduate work is completely determined by opportunity and is not planned 
far in advance.   
As stated in the introduction, our undergraduates have investigated 
$e p \rightarrow e p K^* K$ (Patrick Walker~\cite{walker:CISA20,walker:PhysSymposium}), 
$e p \rightarrow e K \Lambda(1520)$ (Rebecca Osar~\cite{osar:CISA20,osar:PhysSymposium}),
$e p \rightarrow e p \phi \pi$ (Emily Lamanga~\cite{lamagna:PhysSymposium}) and
$\gamma p \rightarrow p \phi$ (Anna Costelle~\cite{costelle:PhysSymposium}). In addition to the 
work listed above, the undergraduates have participated in the investigation of 
machine learning algorithms (Mohamed Mohamed~\cite{momo:poster2}, Kevin Scheuer~\cite{kevin:poster}).
Some of the undergraduates have won local ASU awards for their work: 
Patrick Walker (ASU Department of Physics Research Award),
Anna Costelle (ASU Women in Physics Award) and
Mohamed Mohamed (CISA Undergraduate Research Award).


In order to keep the discussion of our undergraduate work to be of reasonable length, 
I only highlight the work 
performed by Ms. Osar towards obtaining cross section measurements for 
$e p \rightarrow e N^*$ 
where $N^* \rightarrow K \Lambda(1520)$.
Ms. Osar's analysis has progressed more than the other undergraduates in the group. She
has background subtracted $\Lambda(1520)$ signals from invariant mass $K^- p$ events
for each bin in invariant mass $K^+ \Lambda(1520)$ shown in Figure~\ref{fig:osarSymp}. The fit
shown on the figure (solid black line) has a Gaussian center at 2.299 GeV that coincides 
with the two-star $N(2300)$ 
resonance. Additionally, there is an interesting
feature near 3.4 GeV that should be explored.
Ms. Osar has recently completed work on a event generator for the 
reaction and we are in the process of determining the detector efficiency for the 
mass bins given in Figure~\ref{fig:osarSymp}.  


The GlueX photoproduction data on mesons that decay $K^\ast \bar{K}$ 
and the isolation of excited $\Xi$ baryon states forms the most important component of our research
and is discussed next.

%The graduate students work to isolate resonant mesons that decay
%through $K^+ K^- \pi^0$ and to isolate excited $\Xi$ baryon states.

\vspace{-10pt}
\subsubsection{Work on $K^\ast \bar{K}$ states}
\vspace{-5pt}

Former ASU graduate student Sebastian Cole studied mesons that decay by way of $K^\ast \bar{K}$. 
The invariant mass of $K^{-}\pi^0$ from $\gamma p \rightarrow pK^{+}K^{-}\gamma\gamma$ events is shown
in Figure~\ref{fig:kmStar} with
vertical red lines 
%at $0.8~\mathrm{GeV}$ and $1.0~\mathrm{GeV}$ 
indicating the selection of events with $K^{*-}(892)$ meson. 
Taking those events that are consistent with the $K^{*-}(892)$ meson, an invariant mass of $K^{*-}(892)K^+$
is formed (see Figure~\ref{fig:kmStarKp}). Very similar results are obtained for the $K^{*+}(892)K^-$ case where
$K^{*+}(892)$ is formed from $K^{+}\pi^0$. 

\vspace{15pt}
\begin{figure}[h]
\begin{minipage}[t][1.5in][t]{.5\linewidth}
 { \centering
  \captionsetup{margin=0.4cm}
  \includegraphics[width=0.9\linewidth]{hKStarMinus_new.pdf}
  \caption{Invariant mass of $K^{-}\pi^0$.
  %\vspace{-5pt}
  }
  \label{fig:kmStar}}
\end{minipage}%                                                                                       
\begin{minipage}[t][1.5in][t]{.5\linewidth}
 { \centering
  \captionsetup{margin=0.4cm}
  \includegraphics[width=0.9\linewidth]{hKStarMinus_KPlus_new.pdf}
  \caption{Invariant mass of $K^{*-}(892)K^+$. 
    %\vspace{-5pt} 
  }
  \label{fig:kmStarKp}}
\end{minipage}
\end{figure}
\vspace{25pt}



%XXXXXXXXXXXXXXXXXX

%A cross section $\sigma$ for a given 
%process is defined as the number of interaction per unit time per target 
%particle divided by the incident flux. With respect to particular 
%kinematic variables, the intensity for the production of meson states 
%can be defined using the differential cross section. The intensity is

%\begin{align}
%    I(\Omega,\Omega_H,\Phi) &\equiv \frac{d\sigma}{dt~dm_{K^*\bar{K}}~d\Omega~d\Omega_H~d\Phi},
%\end{align}

%\noindent where $\Omega$ is the direction of the $K^*$ in the helicity frame 
%of the system, $\Omega_H$ is the direction of the $K$ in the helicity frame of the photoproduced 
%meson resonance, $\Phi$ the direction of the photon beam polarization 
%with respect to the production plane, $m_{K^*\bar{K}}$ is the mass of the meson 
%resonance, and $t$ is the Mandelstam momentum transfer 

%Using the formalism introduced by V. Mathieu \cite{Intensity_V}, 
%which is expanded by M. Shepherd \cite{Intensity_S} and J. Stevens \cite{Intensity_J}, 
%the intensity can be defined in helicity space. 
The intensity utilizing a polarized photon beam can be written as~\cite{Intensity_V}
\begin{align}
    I(\Omega,\Omega_H,\Phi) &= I^0(\Omega,\Omega_H) - P_\gamma I^1(\Omega,\Omega_H)\cos(2\Phi) - P_\gamma I^2\sin(2\Phi),
    \label{equation:I_exp}
\end{align}
where $P_\gamma$ is the degree of the linear polarization of the incident photon beam. Each $I$ in Equation
\ref{equation:I_exp} can be defined in terms of decay amplitudes:

\begin{align}
    I^0(\Omega,\Omega_H) &= \frac{\kappa}{2} \sum_\lambda A_\lambda(\Omega,\Omega_H)A^\ast_\lambda(\Omega,\Omega_H)\\
    I^1(\Omega,\Omega_H) &= \frac{\kappa}{2} \sum_\lambda A_{-\lambda}(\Omega,\Omega_H)A^\ast_\lambda(\Omega,\Omega_H)\\
    I^2(\Omega,\Omega_H) &= i\frac{\kappa}{2} \sum_\lambda \lambda A_{-\lambda}(\Omega,\Omega_H)A^\ast_\lambda(\Omega,\Omega_H).
\end{align}
The amplitudes are then expanded in terms of partial waves
\begin{align}
    A_\lambda &= \sum_{i}\sum_{m}T^i_{\lambda,m}B,
    \label{equation:partial_wave}
\end{align}
where $T$ are the partial wave amplitudes and $B$  
%the decay amplitude.
%The amplitude defined in Equation \ref{equation:partial_wave} used to determine the 
%intensity can be defined in terms of two rotations on spin-space. Let $B$ be 
the matrix element associated with the two rotations of interest:
\begin{align}
    B &\equiv \langle j_1m_1j_2m_2|R^{(1)}R^{(2)}|Jm \rangle,
\end{align}
where the $j_1$ represents the quantum number for the orbital angular momentum from the decay of 
the resonance meson to the $K^\ast$ vector meson and the pseudoscalar $\bar{K}$ meson, with the $j_2$ quantum number
being associated with the spin of the $K^\ast$ vector meson. The rotations 
$R^{(1)}$ and $R^{(2)}$ act on $|j_1m_1\rangle$ and $|j_2m_2\rangle$, 
respectively. 
%The rotation angles $\theta$ (polar) $\phi$ (azimuth) in the vector meson helicity frame define the 
%direction of the $K^\ast$, with the rotation angles $\theta_H$ (polar), and $\phi_H$ (azimuth) of the $\pi$
%as measured in the helicity frame of the $K^\ast$. 

%For the vector-pseudoscalar decay of interest, rotations with respect to the angles 
%$\theta$, $\phi$, $\theta_H$, and $\phi_H$ are defined in the resonance and vector meson rest frames. 
%As a result, $R^{(1)}$ is the rotation in the resonance rest frame, $R_r(\theta,\phi)$, 
%and $R^{(2)}$ is the rotation in the vector meson rest frame, $R_v^{(2)}R_r^{(2)}$. 
%Therefore, the matrix element can be written as
%\begin{align}
%    B &= \langle j_1m_1j_2m_2| R_r^{(1)}R_v^{(2)}R_r^{(2)} |Jm \rangle.
%    \label{eq:decay_amp2}
%\end{align}
%\noindent If a complete set of spin projections with respect to $j_1$ and $j_2$ is introduced to 
%Equation \ref{eq:decay_amp2}, $B$ can be written in terms of Wigner D-functions.
%The Wigner D-functions are related to the spin-weighted spherical harmonics, operating to move 
%between frames of the sequential steps of a meson decay using rotations on the sp\
%in space. The Euler angles $(\alpha,\beta,\gamma)$ for which the Wigner D-function is defined
%\begin{align}
%    D^J_{m'm} &= \langle Jm'|e^{-i\alpha J_z}e^{-i\beta J_y}e^{-i\gamma J_z}|Jm\rangle \nonumber\\
%    &= e^{-im'\alpha}d^J_{m'm}e^{-im\gamma},
%\end{align}
The matrix element can be put into the form
\begin{align}
    B &= \sum_{m''_2}\sum_{m'}\langle Jm'|j_1m_1j_2m''_2\rangle D^{J\ast}_{mm'}(R^p_r)D^{j_2\ast}_{m''_2m_2}(R^p_v),
    \label{eqn:B_final}
\end{align}
where $\langle Jm'|j_1m_1j_2m''_2\rangle$ is the Clebsch-Gordan coefficient that connects the initial
and final configurations of angular momentum and the terms of the form $D^j_{mn}$ are Wigner D-Functions, with
$R^p_r$ being the passive rotation pointing towards the $K^\ast$ as measured in the helicity frame of the resonant meson
and $R^p_v$ being the passive rotation pointing towards the $\pi$ as measured in the helicity frame of the
$K^\ast$ vector-meson.   

%The expected intensity of efficiency corrected phase space distributions (determined
%by monte carlo) are weighted within the PWA using the  

%XXXXXXXXXXXXXXXXXX



Invariant mass distributions for $K^\ast\bar{K}$ with $J=0,1,2$ values determined by PWA can be seen
in Figures~\ref{fig:j0},~\ref{fig:j1} and \ref{fig:j2}, respectively. 
For each Figure~\ref{fig:j0} through~\ref{fig:j2}, the red line represents a total fit to the data.
For $J=0$ (Figure~\ref{fig:j0}) the green line represents the $\eta(1405)$, while 
blue is the $\eta(1475)$ and the yellow line is a third-degree polynomial background.
For $J=1$ (Figure~\ref{fig:j1}) the magenta line represents the $f_1(1420)$, the green line represents
$f_1(1510)$ and an exponential background is cyan.
For $J=2$ (Figure~\ref{fig:j2}) the green line represents the $f_2(1430)$, the blue line represents  
$f'_2(1525)$ while the background contribution is assumed as the tail of the $f_2(1260)$ shown in 
magenta.

\vspace{15pt}
\begin{figure}[h]
\begin{minipage}[t][2.5in][t]{.3\linewidth}
 { \centering
  \captionsetup{margin=0.5cm}
  \includegraphics[width=0.9\linewidth]{hMassAcc1Mod.png}
  \caption{$M(K^\ast\bar{K})$, $J=0$ from PWA.
  %\vspace{-5pt}
 }
  \label{fig:j0}}
\end{minipage}
\begin{minipage}[t][2.5in][t]{.3\linewidth}
 { \centering
  \captionsetup{margin=0.5cm}
  \includegraphics[width=0.9\linewidth]{hMassAcc2Mod.png}
  \caption{$M(K^\ast\bar{K})$, $J=1$ from PWA.
    %\vspace{-5pt} 
  }
  \label{fig:j1}}
\end{minipage}
\begin{minipage}[t][2.5in][t]{.3\linewidth}
 { \centering
  \captionsetup{margin=0.5cm}
  \includegraphics[width=0.9\linewidth]{hMassAcc3Mod.png}
  \caption{$M(K^\ast\bar{K})$, $J=2$ from PWA.
    %\vspace{-5pt}
  }
  \label{fig:j2}}
\end{minipage}
\vspace{-15pt}
\end{figure}
%\vspace{15pt}


The fit parameters, along with PDG values, for each of the extracted mesons shown in Figures~\ref{fig:j0}-\ref{fig:j2}
can be found in table~\ref{tab:j012}. 

%\vspace{-15pt}
\begin{table}[h]
\vspace{-15pt}
    \centering
    \begin{tabular}{c|c|c|c|c|c}
        $J$ & PID & PDG center & PDG width & Fit center & Fit width\\
            &     &   (MeV)    &   (MeV)   &     (MeV)  &    (MeV) \\
        \hline
        $0$ & $\eta(1405)$ & $1408.8\pm2.0$    & $50.1\pm2.6$  & $1406\pm2$ & $49.46\pm7.07$ \\
        $0$ & $\eta(1475)$ & $1475\pm4$    & $90\pm9$  & $1475\pm10$ & $105.8\pm2.24$\\
        $1$ & $f_1(1420)$  & $1426.3\pm0.9$  & $54.5\pm2.6$  & $1436\pm11$ & $48.40\pm4.17$\\
        $1$ & $f_1(1510)$  & $1518\pm5$    & $73\pm25$ & $1503\pm5$ & $71.78\pm12.76$\\
        $2$ & $f_2(1430)$  & ${\sim}1430$ & NA & $1438\pm4$ & $62.36\pm5.70$\\
        $2$ & $f_2(1525)$  & $1517.4\pm2.5$    & $86\pm5$  & $1538\pm4$ & $90.03\pm13.73$\\
    \end{tabular}
    \caption{Comparison of the Fit Parameters for Figures \ref{fig:j0}-\ref{fig:j2} 
With Respect to the PDG.
%\footnote{Fit width column is determined by $\Gamma=2.355\sigma$ for full width at half maximum.}.]
%{Comparison of the fit parameters for Figures \ref{fig:j0}, \ref{fig:j1}, and \ref{fig:j2} with res\
%pect to the PDG
%\footnote{Fit width column is determined by $\Gamma=2.355\sigma$ for full width at half maximum.}
\label{tab:j012}
}
\vspace{-5pt}
\end{table}
Of particular interest are the $\eta(1405)$ and $f_2(1430)$ states. The $\eta(1405)$ 
has not been seen in $\gamma\gamma$ collisions, pointing to a possible large gluonic
content, while the $f_2(1430)$ is a state that is omitted from the PDG Summary Tables
due to a paucity of data. Each of these potentially interesting states ($\eta(1405)$ and $f_2(1430)$) 
appear to show up rather strongly in our studies. Our evidence of $f_2(1430)$ will hopefully 
help more firmly establish that particle. 
%Further study of the $\eta(1405)$ will require
%that we obtain cross section information in order to compare to possible production mechanisms.
  

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vspace{-10pt}
\subsubsection{Work on $\Xi^\ast$ states}
\vspace{-5pt}
%\vspace{55pt}

\begin{figure}[H]
\begin{minipage}[][1.5in][t]{.5\linewidth}
 { \centering
  \captionsetup{margin=0.4cm}
  \includegraphics[width=0.9\linewidth]{clVsCas.jpg}
  \caption{Mass of $\Lambda \pi^-$ versus confidence level.
%  \vspace{25pt}
  }
  \label{fig:clVsCas}}
\end{minipage}%                                                                                       
\begin{minipage}[][1.5in][t]{.5\linewidth}
 { \centering
  \captionsetup{margin=0.4cm}
  \includegraphics[width=0.9\linewidth]{cas.jpg}
  \caption{Invariant mass of $\Lambda \pi^-$ when confidence level is  $> 10^{-4}$. 
%    \vspace{25pt} 
  }
  \label{fig:cas}}
\end{minipage}
%\begin{minipage}[t][1.5in][t]{.3\linewidth}
% { \centering
%  \captionsetup{margin=0.4cm}
%  \includegraphics[width=0.9\linewidth]{casStar.jpg}
%  \caption{Invariant mass of $\Xi^- \pi^0$.
%    \vspace{25pt}
%  }
%  \label{fig:casStar}}
%\end{minipage}%                                                                                       
\vspace{35pt}
\end{figure}
\vspace{30pt}

%ASDFASDF


Graduate student Brandon Sumner is heading up the $\Xi^*$ analysis effort 
for the group. 
The analysis starts with a kinematic fit. The initial reaction of interest is
$\gamma p \rightarrow K^+ K^+ \pi^0 \Xi^-$, where $\Xi^- \rightarrow \Lambda \pi^-$. 
The $\Lambda$ and $\pi^0$ are constrained to the PDG masses within the kinematic fit, whereas
the $\Xi^-$ mass is not. 
A plot of the confidence level from kinematic fitting versus
the 
\begin{wrapfigure}[]{r}{0.45\textwidth}
\vspace{-20pt}
\begin{center}
\includegraphics[width=\linewidth]{Simfit.png}
\end{center}
\vspace{-20pt}
\caption{Simultaneous fit of Mass[$\Xi^*$] branches: $\Xi^{-*} \rightarrow K^- \Lambda$ (top panel)
and $\Xi^{-*} \rightarrow \Xi^- \pi^0$ (bottom panel).
}
{\label{fig:simFit}}
\end{wrapfigure}
invariant mass of $\Lambda \pi^-$ is shown in Figure~\ref{fig:clVsCas}. 
Mr. Sumner performed a study to determine the confidence level that minimizes the 
fractional uncertainty of extracted $\Xi(1520)$ states, and found it best to accept all events with
a confidence level greater than $10^{-4}$.
Upon a confidence level of $10^{-4}$, an invariant mass of $\Lambda \pi^-$
given in Figure~\ref{fig:cas} is determined, where the peak at 1.320 GeV is the ground state $\Xi$. 
The $\Xi$ is then defined as those events with invariant mass $\Lambda \pi^-$ between 1.31 and 1.34 GeV. 




In addition to exploring the branch $\Xi^{-*} \rightarrow \Xi^- \pi^0$, we investigate the branch 
$\Xi^{-*} \rightarrow K^- \Lambda$. 
For the case of $\Xi^{-*} \rightarrow K^- \Lambda$, the $\Lambda$
is not constrained and a confidence level study is performed on the $\Xi(1820)$ in a similar manner 
as described for
the $\Xi^{-*} \rightarrow \Xi^- \pi^0$ branch using $\Xi(1530)$.  
%The resulting invariant mass of the $\Xi^- \pi^0$ is shown in figure~\ref{fig:casStar}
%In addition to the branch of $\Xi^*$ going $\Xi \pi$ we have begun to explore
%the $\Xi^* \rightarrow K \Lambda$ branch. 

%The invariant mass
%of $K^- \Lambda$ from the reaction $\gamma p \rightarrow K^+ K^+ K^- \Lambda$ 
%is shown in the top panel of figure~\ref{fig:simFit} and the invariant mass of 
%$\Xi^- \pi^0$ shown on the bottom panel.



A simultaneous fit was performed on $\Xi^{-*}$ states utilizing 2018 data for both branches described above. 
Figure~\ref{fig:simFit} shows the invariant mass of $K^- \Lambda$ from the reaction $\gamma p \rightarrow K^+ K^+ K^- \Lambda$
in the top panel, while the bottom panel shows the invariant mass of $\Xi^- \pi^0$ from the reaction
$\gamma p \rightarrow K^+ K^+ \Xi^- \pi^0$. The fit consists of four $\Xi^{-*}$ states 
($\Xi(1530), \Xi(1620)$, $\Xi(1690)$, $\Xi(1820)$) along with polynomial backgrounds. 
The simultaneous fit constrained the
%The simultaneous fit constrained the 
center and widths of the $\Xi^*$ states to be identical for 
both top and bottom panels of Figure~\ref{fig:simFit}, but allowed the 
amplitudes to vary independently. For both branches within the simultaneous fit, the background was
described by a third degree polynomial with parameters being independent between the branches.
Within Figure~\ref{fig:simFit}, solid lines represent the full fit, dashed-dotted lines
are the polynomial backgrounds with solid colors representing the $\Xi^*$ states, where blue is $\Xi(1530)$, turquoise represents $\Xi(1620)$,
green is the $\Xi(1690)$ and red is the $\Xi(1820)$.


The $\Xi(1530)$ is a four-star state, $\Xi(1690)$ and $\Xi(1820)$ are three-star, and the $\Xi(1620)$ is a one-star
that is omitted from the summary table. Although the $\Xi(1690)$ has a three-star designation, the PDG still lists the $J^P$ as unknown with
$J^P = ?^?$ with an unknown branching ratio  $\Gamma(K^- \Lambda)/\Gamma(\Xi^- \pi^0)$ that we plan to measure.  


%two $\Xi^*$ states: $\Xi(1690)$ and $\Xi(1820)$ with a smooth polynomial
%background shown as a dash-dotted line. The $\Xi(1820)$ is a three-star state, but the $\Xi(1950)$
%lacks a PDG designation for the $J^P$ quantum numbers, whereas the $\Xi(1820)$ has
%a PDG designation $J^P=\frac{3}{2}^-$. This is another example where a PWA will be useful
%in helping assign quantum numbers to excited $\Xi$ states. Moreover, since the $\Xi(1690)$
%is common to both branches shown here (figures~\ref{fig:csCas2} and \ref{fig:cas3}), a simultaneous fit
%of those branches will be used to uncover the 
%$\Gamma(\Xi^- \pi^0)/\Gamma(K^- \Lambda)$ 
%branching ratio for the first time (once we have
%calculated the detection efficiencies for the $K^- \Lambda$).


\begin{wrapfigure}[]{r}{0.4\textwidth}
\vspace{-10pt}
\begin{center}
%\includegraphics[width=\linewidth]{CSupdatedv2.png}
\includegraphics[width=\linewidth]{CrossSectionPic.png}
\end{center}
\vspace{-20pt}
\caption{Preliminary cross section of $\Xi^-(1530)$.
\newline
\vspace{-8pt}
}
{\label{fig:csCas}}
\end{wrapfigure}
Detector simulation studies have been performed for the $\Xi(1530)$ state to allow for detector efficiencies to
be calculated, but there remains work to be done towards improving the event generator.
The generator employed in determining the detection efficiencies is a phase space generator that
considers the initial part of the reaction $\gamma p \rightarrow K^+ K^+ \Xi^-$ as a 
one-step process. However, due to OZI suppression, a two step process is far more likely.  
Brandon Sumner has nearly completed work on a generator that better matches the reaction of 
interest: $\gamma p \rightarrow K^+ Y$, where $Y$ is a very wide high-mass hyperon that decays
$Y \rightarrow K^+ \Xi^{-*}$. 
Preliminary $\gamma p \rightarrow K^+ K^+ \Xi(1530)$ cross sections in term of 
incident photon energy are shown in Figure~\ref{fig:csCas}. 

%Preliminary cross section of
%background subtracted $\gamma p \rightarrow K^+ K^+ \Xi \pi^0$ is shown in figure~\ref{fig:csCas2}, 
%with the solid black line representing a fit to three $\Xi^*$ states: 
%$\Xi(1530)$
%(center = 1536(1) MeV, width = 30(4) MeV)
%, $\Xi(1620)$ 
%(center = 1606(4) MeV, width = 15(7)) 
%and $\Xi(1690)$. 
%(center = 1687(6) MeV, width = 10(6))
%While the $\Xi(1530)$ is a well known four-star 
%resonance, the remaining two are less well understood. The neither the $\Xi(1620)$ (one-star) nor
%the $\Xi(1690)$ (three-star) has confirmed $J^P$ values assigned in the PDG. A PWA will have
%to be performed in order for our data to contribute to the discussion of $J^P$ assignments for
%these states.


%\vspace{-10pt}
%\subsubsection{Quality factors}
%For each of our reactions, we are exploring the use of quality factors for the reduction of 
%background. For each event, a quality factor is assigned by taking the nearest events in phase space
%and determining the probability (through a fitting procedure) that the event is signal. 
%\vspace{-5pt}

\vspace{-10pt}
\subsection{Publications during the current grant}
\vspace{-5pt}

Several papers have been published during the current grant period
~\cite{CLAS:2021udy,CLAS:2021osv,Hayward:2021psm,CLAS:2020ngl,PhysRevC.103.L022201,
CLAS:2020vpr,ADHIKARI2021164807,CLAS:2020rdz,PhysRevC.101.065206,CLAS:2020mom,
PhysRevC.100.052201,PhysRevLett.123.072001,CLAS:2018mmb}.
Of those papers, we had direct involvement in writing the text related to the triplet polarimeter 
for the GlueX beamline and detector paper~\cite{ADHIKARI2021164807} and for providing the 
polarization values used in the determination of beam asymmetries for the photoproduction 
from the proton for
$\eta$, $\eta^{\prime}$\cite{PhysRevC.100.052201};
$K^+ \Sigma^0$ \cite{PhysRevC.101.065206} and 
$\pi^- \Delta^{++}$\cite{PhysRevC.103.L022201}. 
We provided the initial event generator used
for background studies for the early analysis of $J\psi$ that eventually led to 
publication~\cite{PhysRevLett.123.072001}. The $\pi^- \Delta^{++}$\cite{PhysRevC.103.L022201}
paper utilized a method developed by the PI for the determination of beam 
asymmetries~\cite{PhysRevC.88.065203}
and the PI had discussions with the person that led the GlueX analysis effort (J. Zarling) regarding the
implementation of that method. The PI was heavily involved with the FROST group prior to this current grant
and two of the papers \cite{CLAS:2021udy,CLAS:2018mmb} were from those efforts. The remaining papers had
involvement from group members that was less substantial than described above.   
 
    

%GlueX NIM \cite{ADHIKARI2021164807}. 
%
%$\mathrm{\ensuremath{\Sigma}}$ for the photoproduction of $\ensuremath{\eta}$ 
%and ${\ensuremath{\eta}}^{\ensuremath{'}}$ mesons at 
%${E}_{\ensuremath{\gamma}}=8.8\phantom{\rule{0.28em}{0ex}}\mathrm{GeV}$ 
%\cite{PhysRevC.100.052201}, 
%
%First Measurement of Near-Threshold $J/\ensuremath{\psi}$ Exclusive Photoproduction off the Proton
%\cite{PhysRevLett.123.072001},
%
%Measurement of the photon beam asymmetry in 
%$P{\ensuremath{\gamma}}\cite{PhysRevC.101.0
%$p\ensuremath{\rightarrow}{K}^{+}{\mathrm{\ensuremath{\Sigma}}}^{0}$ 
%at ${E}_{\ensuremath{\gamma}}=8.5$ GeV
%\cite{PhysRevC.101.065206},
%
%Measurement of beam asymmetry for ${\ensuremath{\pi}}^{\ensuremath{-}}{\mathrm{\ensuremath{\Delta}}}^{++}$ 
%photoproduction on the proton at ${E}_{\ensuremath{\gamma}}=8.5\phantom{\rule{0.16em}{0ex}}\mathrm{GeV}$
%\cite{PhysRevC.103.L022201}
%paper used method I developed \cite{PhysRevC.88.065203} for the analysis of beam asymmetry measurements 
%and I had discussions with the person that led the GlueX analysis effort (J. Zarling) regarding the
%implementation.

