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\title{\boldmath{ $\rho_3^-(1690)$}\ \ \ \ \ \ \ $***$}
\maketitle
The $\rho_3^-(1690)$ is the charged member of the isospin triplet from the lightest spin-$3$ multiplet. The mass and width are measured with reasonable precision and the branching ratios of a number of modes are known. We have used the branching ratios from \cite{Yao:2006px} together with some assumptions to obtain the branching ratios. We have used the \cite{Yao:2006px} rates for the $\pi\pi\pi\pi$, $\pi\pi$, $K\bar{K}\pi$, and $K\bar{K}$ modes with a minor renormalisation to ensure the sum is unity. We have assumed that the $K\bar{K}\pi$ mode is solely due to $KK^*$. We have also split the four pion mode into various two-body channels. This was done using measured $\omega\pi$ rate, the most recent measurement of ratio of $a_2\pi$ to the four pion rate and assigning the remainder of the mode to $\rho\rho$. Given the large width of the $\rho_3^-(1690)$ we allow it to be off-shell by four times the width above the central value of the mass and chose the lower limit so that the $a_2\pi$ decay mode is kinematically allowed.
The $\rho_3^-(1690)$ has mass $1688.8$~MeV and is unstable. The $\rho_3^-(1690)$ has spin $3$, charge $-1$ and is colour neutral.
 The $\rho_3^-(1690)$ is a meson and is from the $1^3D_3$ multiplet.The $\rho_3^-(1690)$ has width $161$~MeV. The lower limit on the mass of the particle is $540$~MeV and the upper limit is $644$~MeV. These are the deviations from the on-shell value. The branching ratios are fixed.
The properties of the particle and its antiparticle are taken to be charge-conjugate to each other.
 The PDG code is -217.
\setlongtables
\begin{longtable}[t]{|c|c|c|p{1in}|p{2.5in}|c|}
\hline
Branching & Rating & On/ & Outgoing  & Description & Decayer  \\ 
Ratio     &                                 & Off & Particles &             &         \\ 
\hline
\endhead
\caption{The decay modes of the $\rho_3^-(1690)$ (continues).}
\endfoot
\caption{The decay modes of the $\rho_3^-(1690)$.}
\endlastfoot
\label{tab:-217decaymodes}
0.235810 & $***$ & on & $ \pi^-, \pi^0 $  & The decay of the $\rho_3^-(1690)$ to two pions with branching ratio from \cite{Yao:2006px} with minor changes to ensure the sum of the branching ratios is one.   & Herwig::Hw64::DecayME0 \\ 
\hline
0.234443 & $***$ & on & $ a_2^-(1320), \pi^0 $  & The decay of the $\rho_3^-(1690)$ to $a_2\pi$ with branching ratio calculated as described above.   & Herwig::Hw64::DecayME0 \\ 
\hline
0.234443 & $***$ & on & $ a_2^0(1320), \pi^- $  & The decay of the $\rho_3^-(1690)$ to $a_2\pi$ with branching ratio calculated as described above.   & Herwig::Hw64::DecayME0 \\ 
\hline
0.160000 & $***$ & on & $ \pi^-, \omega $  & The decay of the $\rho_3^-(1690)$ to omega and a pion with branching ratio from \cite{Yao:2006px}.   & Herwig::Hw64::DecayME0 \\ 
\hline
0.081547 & $***$ & on & $ \rho^-, \rho^0 $  & The decay of the $\rho_3^-(1690)$ to two rho mesons with branching ratio calculated as described above.   & Herwig::Hw64::DecayME0 \\ 
\hline
0.018985 & $***$ & on & $ K^{*0}, K^- $  & The decay of the $\rho_3^-(1690)$ to a kaon and a $K^*$ with branching ratio from \cite{Yao:2006px} with minor changes to ensure the sum of the branching ratios is one.   & Herwig::Hw64::DecayME0 \\ 
\hline
0.018985 & $***$ & on & $ K^{*-}, K^0 $  & The decay of the $\rho_3^-(1690)$ to a kaon and a $K^*$ with branching ratio from \cite{Yao:2006px} with minor changes to ensure the sum of the branching ratios is one.   & Herwig::Hw64::DecayME0 \\ 
\hline
0.015787 & $***$ & on & $ K^-, K^0 $  & The decay of the $\rho_3^-(1690)$ to two kaons with branching ratio from \cite{Yao:2006px} with minor changes to ensure the sum of the branching ratios is one.   & Herwig::Hw64::DecayME0 \\ 
\hline
\end{longtable}The $\rho_3^-(1690)$ decay modes are given in Table~\ref{tab:-217decaymodes} and the total branching ratio is $1$.


The mass generator is \verb|rho_3+Mass| for the $\rho_3^-(1690)$.
The width generator is \verb|rho_3+Width| for the $\rho_3^-(1690)$.

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 The particle was checked by Peter Richardson at 21:36:42 on the 20th of October 2007. The most recently changed decay mode was modified at 23:10:55 on the 3rd of April 2005. The particle data was last modified at 23:17:25 on the 24th of April 2007.

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