Possible charmed-strange molecular dibaryons

Abstract

In this work, we systematically investigate the dibaryons with charm number $C$=1 and strangeness number $S$=$\pm$ 1 from the interactions of a charmed baryon and a strange baryon ${\Lambda }_c\Lambda$, ${\Lambda }_c{\Sigma }^{(\ast )}$, ${\Sigma }_c^{(\ast )}\Lambda$, and ${\Sigma }_c^{(\ast )}{\Sigma }^{(\ast )}$, and corresponding interactions of a charmed baryon and an antistrange baryon ${\Lambda }_c\bar{\Lambda }$, ${\Lambda }_c{\bar{\Sigma }}^{(\ast )}$, ${\Sigma }_c^{(\ast )}\bar{\Lambda }$, and ${\Sigma }_c^{(\ast )}{\bar{\Sigma }}^{(\ast )}$. With the help of the effective Lagrangians with $SU(3)$, heavy quark, and chiral symmetries, the potentials of the interactions considered are constructed by light meson exchanges. To search for the possible molecules, the quasipotential Bethe-Salpeter equation with the interaction potential kernel is solved to find poles from scattering amplitude. The results suggest that attractions widely exist in charmed-strange system with $C$=1 and $S$=$-1$. The $S$-wave bound states can be produced from most of the channels. Few bound states are also produced from the charmed-antistrange interactions. Couple-channel effect are considered in the current work to discuss the couplings of the molecular states to the channels considered. More experimental research for these charmed-strange dibaryons are suggested.

11 pages, 6 figures

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