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\contribution[Weak decays of doubly charmed baryons] % short title (optional)
{Weak decays of doubly charmed baryons} % title
{Eliecer}{Hern\'andez} % presenter of the talk/poster
{\affiliation[
Departamento de F\'{\i}sica Fundamental e IUFFyM]{1}\\
Universidad de Salamanca,
E-37008 Salamanca, SPAIN
\affiliation[
Instituto de F\'\i sica Corpuscular
(IFIC), Centro Mixto CSIC-Universidad de Valencia]{2}\\
Institutos de
Investigaci\'on de Paterna, Aptd. 22085,
E-46071 Valencia, SPAIN
}
{gajatee@usal.es}
{\!\!$^,\affiliation{1}$, Conrado Albertus\affiliation{1}, and Juan Nieves\affiliation{2}}
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\abstract{%
Within a nonrelativistic quark model, we evaluate exclusive semileptonic decays of ground-state spin-1/2
doubly heavy charmed baryons driven by a quark $c\to s,d$ transition.
}
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% for short contributions sections are optional
We shall only present final results for the decay widths.
For the interested reader, Ref.~\cite{Albertus:2011xz} gives a full account
of our work. In particular, a discussion on heavy
quark spin symmetry constraints on form factors and the level to which those
constraints are satisfied for the actual $c$-quark mass
can be found there.
The quantum numbers of the baryons
involved in our study are shown in Table~\ref{tab:baryons}. Quark model
masses have been taken from
our previous works in Refs.~\cite{Albertus:2003sx,Albertus:2009ww}.
Experimental masses are the ones
given by the PDG\cite{pdg10} and in the table we quote the average over the
different charge states. With the exception of the $\Xi_{cc}$, the
agreement is fairly good. In the calculation we
use experimental masses. For the $\Omega_{cc}$, and in the
absence of experimental information, we take our model prediction of
$M_{\Omega_{cc}}=3712\,$MeV.
In Table~\ref{tab:dw} we give our results. To the best of
our knowledge there are just a few other calculations
of exclusive semileptonic decays of ground-state spin-1/2
doubly charmed baryons. Those are also shown in Table~\ref{tab:dw} for comparison.
In Ref.~\cite{Faessler:2001mr} only the $\Xi_{cc}\to \Xi'_c
e^+\nu_e$ decay was evaluated using the
relativistic three-quark model. In Ref.~\cite{Kiselev:2001fw}, the authors use
heavy quark effective theory and non-relativistic QCD sum rules to evaluate
both the lifetime of the $\Xi_{cc}$ baryon and the branching ratio for
the combined decay $\Xi_{cc}\to\Xi_c e^+\nu_e+\Xi'_c
e^+\nu_e+\Xi_c^*e^+\nu_e$ from which we have obtained the
semileptonic decay widths shown in the table. We find a fair agreement
of our predictions with both calculations. We also give results for
exclusive semileptonic $c\to s $
decays of the $\Omega_{cc}^+$ baryon and for sub dominant $c\to d$ decays of both the
$\Xi_{cc}^{++},\,\Xi_{cc}^+$ and $\Omega_{cc}$ baryons.
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% the recommended way to include a LaTeX table
\begin{table}[tb]
\small
\begin{center}
\begin{tabular}{ccccccc}
Baryon &~~~~$J^\pi$~~~~&~~~~$S^\pi$~~~~&
Quark content &\multicolumn{2}{c}{Mass\ [MeV]}\\\cline{5-6}
& & & & Quark model & Experiment
\\ & & & &
\cite{Albertus:2003sx,Albertus:2009ww} & \cite{pdg10} \\
\hline
$\Xi_{cc}$ &$\frac12^+$& $1^+$&$ccn$&3613&3518.9
\\
$\Omega_{cc}$ &$\frac12^+$& $1^+$&$ccs$&3712&--\\\hline
$\Lambda_c$ &$\frac12^+$& $0^+$&$udc$&2295&2286.5
\\
$\Sigma_c$ &$\frac12^+$& $1^+$&$nnc$&2469&2453.6
\\
$\Sigma^*_c$ &$\frac32^+$& $1^+$&$nnc$&2548&2518.0
\\
$\Xi_c$ &$\frac12^+$&$0^+$&$nsc$&2474&2469.3
\\
$\Xi'_c$ &$\frac12^+$&$1^+$&$nsc$&2578&2576.8
\\
$\Xi^*_c$ &$\frac32^+$&$1^+$&$nsc$&2655&2645.9
\\
$\Omega_c$ &$\frac12^+$& $1^+$&$ssc$&2681&2695.2
\\
$\Omega^*_c$ &$\frac32^+$& $1^+$&$ssc$&2755&2765.9
\\
\end{tabular}
\caption{\small
Quantum numbers of the baryons involved in this study.
$J^\pi$ is the spin-parity of the baryon,
while $S^\pi$ is the spin-parity of the two
heavy or the two light quark subsystem. $n$ denotes a $u$ or $d$
quark. }
\label{tab:baryons}
\end{center}
\end{table}%
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\begin{table}[h!!!]
\small
\begin{center}
\begin{tabular}{lcccc}
&&This work&\cite{Faessler:2001mr}&\cite{Kiselev:2001fw}\\\hline
$\Gamma(\Xi_{cc}^{++}\to\Xi^+_ce^+\nu_e)$&$(c\to s)$&$8.75\times 10^{-2}$\\
$\Gamma(\Xi_{cc}^{+\hspace{.18cm}}\to\Xi^0_ce^+\nu_e)$&$(c\to s)$&$8.68\times 10^{-2}$\\
$\Gamma(\Xi_{cc}^{++}\to\Xi^{\prime+}_ce^+\nu_e)$&$(c\to s)$&0.146&$0.208\div 0.258$\\
$\Gamma(\Xi_{cc}^{+\hspace{.18cm}}\to\Xi^{\prime\,0}_ce^+\nu_e)$&$(c\to s)$&0.145&$0.208\div 0.258$\\
$\Gamma(\Xi_{cc}^{++}\to\Xi^{*\,+}_ce^+\nu_e)$&$(c\to s)$&$3.20\times 10^{-2}$\\
$\Gamma(\Xi_{cc}^{+\hspace{.18cm}}\to\Xi^{*\,0}_ce^+\nu_e)$&$(c\to s)$&$3.20\times 10^{-2}$\\
$\Gamma(\Xi_{cc}^{++}\to(\Xi^{+}_c +\Xi^{\prime+}_c+\Xi^{*\,+})e^+\nu_e)$&
$(c\to s)$&0.266&&$0.37\pm0.04^{(*)}$\\
$\Gamma(\Xi_{cc}^{+\hspace{.18cm}}\to(\Xi^{0}_c+\Xi^{\prime\,0}_c+\Xi^{*\,0}_c)e^+\nu_e)$&$(c\to
s)$&0.264&&$0.47\pm0.15^{(*)}$\\
$\Gamma(\Xi_{cc}^{++}\to\Lambda^+_ce^+\nu_e)$\hspace*{.5cm}&$(c\to d)$&$4.86\times
10^{-3}$\\
$\Gamma(\Xi_{cc}^{++}\to\Sigma^+_ce^+\nu_e)$&$(c\to d)$&$7.94\times 10^{-3}$\\
$\Gamma(\Xi_{cc}^{+\hspace{.18cm} }\to\Sigma^0_ce^+\nu_e)$&$(c\to d)$&$1.58\times 10^{-2}$\\
$\Gamma(\Xi_{cc}^{++}\to\Sigma^{*\,+}_ce^+\nu_e)$&$(c\to d)$&$1.77\times 10^{-3}$\\
$\Gamma(\Xi_{cc}^{+\hspace{.18cm}}\to\Sigma^{*\,0}_ce^+\nu_e)$&$(c\to d)$&$3.54\times
10^{-3}$\\
\hline
$\Gamma(\Omega_{cc}^{+\hspace{.18cm}}\to\Omega^{0}_ce^+\nu_e)$&$(c\to s)$&0.282\\
$\Gamma(\Omega_{cc}^{+\hspace{.18cm}}\to\Omega^{*\,0}_ce^+\nu_e)$&$(c\to s)$&$5.77\times 10^{-2}$\\
$\Gamma(\Omega_{cc}^{+\hspace{.18cm}}\to\Xi^{0}_ce^+\nu_e)$&$(c\to d)$&$4.11\times
10^{-3}$\\
$\Gamma(\Omega_{cc}^{+\hspace{.18cm}}\to\Xi^{\prime\,0}_ce^+\nu_e)$&$(c\to d)$&$7.44\times
10^{-3}$\\
$\Gamma(\Omega_{cc}^{+\hspace{.18cm}}\to\Xi^{*\,0}_ce^+\nu_e)$&$(c\to d)$&$1.72\times
10^{-3}$
\end{tabular}
\end{center}
\caption{\small Decay widths in units of ${\rm ps}^{-1}$. We use
$|V_{cs}|=0.97345$ and $|V_{cd}|=0.2252$ taken from Ref.~\cite{pdg10}. Results
with an ${(\ast)}$, our
estimates from the total decay widths and branching ratios
in~\cite{Kiselev:2001fw}. Similar results are obtained for
$\mu^+\nu_\mu$ leptons in the final state.}
\label{tab:dw}
\end{table}
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% acknowledgements (optional)
\acknowledgements{
Research supported by contracts
FIS2006-03438, FIS2008-01143/FIS, FPA2010-21750-C02-02, CSD2007-00042,
PROMETEO/20090090 and by the EU
HadronPhysics2 project, grant agreement no. 227431. C. A. thanks a Juan de
la Cierva contract from the Spanish Ministerio de Educaci\'on y Ciencia.
}
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% bibliographic items can be constructed using the LaTeX format in SPIRES
% see http://www.slac.stanford.edu/spires/hep/latex.html
% SPIRES will also supply the CITATION line information; please include it
\begin{thebibliography}{99}
%\cite{Albertus:2011xz}
\bibitem{Albertus:2011xz}
C.~Albertus, E.~Hernandez and J.~Nieves,
%``Exclusive $c\to s,d$ semileptonic decays of ground-state spin-1/2 doubly
%charmed baryons,''
arXiv:1108.1296 [hep-ph].
%%CITATION = ARXIV:1108.1296;%%
%\cite{Albertus:2003sx}
\bibitem{Albertus:2003sx}
C.~Albertus, J.~E.~Amaro, E.~Hernandez and J.~Nieves,
%``Charmed and bottom baryons: A Variational approach based on heavy quark
%symmetry,''
Nucl.\ Phys.\ A {\bf 740}, 333 (2004).
%[arXiv:nucl-th/0311100].
%%CITATION = NUPHA,A740,333;%%
%
%\cite{Albertus:2009ww}
\bibitem{Albertus:2009ww}
C.~Albertus, E.~Hernandez and J.~Nieves,
%``Hyperfine mixing in b ---> c semileptonic decay of doubly heavy baryons,''
Phys.\ Lett.\ B {\bf 683}, 21 (2010).
% [arXiv:0911.0889 [hep-ph]].
%%CITATION = PHLTA,B683,21;%%
%
\bibitem{pdg10} K. Nakamura et al. (Particle Data Group), J. Phys. G 37,
075021 (2010).
%%\cite{Faessler:2001mr}
\bibitem{Faessler:2001mr}
A.~Faessler, T.~Gutsche, M.~A.~Ivanov, J.~G.~Korner and V.~E.~Lyubovitskij,
%``Semileptonic decays of double heavy baryons,''
Phys.\ Lett.\ B {\bf 518}, 55 (2001).
% [arXiv:hep-ph/0107205].
%%CITATION = PHLTA,B518,55;%%
%\cite{Kiselev:2001fw}
\bibitem{Kiselev:2001fw}
V.~V.~Kiselev and A.~K.~Likhoded,
%``Baryons with two heavy quarks,''
Phys.\ Usp.\ {\bf 45}, 455 (2002)
[Usp.\ Fiz.\ Nauk {\bf 172}, 497 (2002)]
[arXiv:hep-ph/0103169].
%%CITATION = UFNAA,172,497;%%
See also A.I. Onishchenko, hep-ph/9912425; A.I. Onishchenko, hep-ph/0006271;
A.I. Onishchenko, hep-ph/0006295.
\end{thebibliography}
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