Doubly charmed molecular pentaquarks

Abstract

We perform a systematic exploration of the possible doubly charmed molecular pentaquarks composed of ${\Sigma }_c^{(\ast )}{D}^{(\ast )}$ with the one-boson-exchange potential model. After taking into account the $S-D$ wave mixing and the coupled channel effects, we predict several possible doubly charmed molecular pentaquarks, which include the ${\Sigma }_{c}D$ with $I(J^P)=1/2(1/2^{-})$, ${\Sigma }_c^{\ast }D$ with $1/2(3/2^{-})$, and ${\Sigma }_c{D}^{\ast }$ with $1/2(1/2^{-})$, $1/2(3/2^{-})$. The ${\Sigma }_{c}D$ state with $3/2(1/2^{-})$ and ${\Sigma }_c{D}^{\ast }$ state with $3/2(1/2^{-})$ may also be suggested as candidates of doubly charmed molecular pentaquarks. The ${\Sigma }_{c}D$ and ${\Sigma }_c^{\ast }D$ states can be searched for by analyzing the ${\Lambda }_{c}D\pi$ invariant mass spectrum of the bottom baryon and $B$ meson decays. The ${\Sigma }_c{D}^{\ast }$ states can be searched for in the invariant mass spectrum of ${\Lambda }_c{D}^{\ast }\pi$, ${\Lambda }_{c}D\pi \pi$ and ${\Lambda }_{c}D\pi \gamma$. Since the width of ${\Sigma }_c^{\ast }$ is much larger than that of $D^{\ast }$, ${\Sigma }_c^{\ast }D\to {\Lambda }_{c}D\pi$ will be the dominant decay mode. We sincerely hope these candidates for the doubly charmed molecular pentaqurks will be searched by LHCb or BelleII collaboration in the near future.

arXiv comment10 pages,1 figure

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