Possible molecular dibaryons with $csssqq$ quarks and their baryon-antibaryon partners

Abstract

In this work, we systematically investigate the charmed-strange dibaryon systems with $csssqq$ quarks and their baryon-antibaryon partners from the interactions ${\Xi }_c^{{(}^{\prime },\ast )}{\Xi }^{(\ast )}$, ${\Omega }_c^{(\ast )}\Lambda$, ${\Omega }_c^{(\ast )}{\Sigma }^{(\ast )}$, ${\Lambda }_c\Omega$ and ${\Sigma }_c^{(\ast )}\Omega$ and their baryon-antibaryon partners from interactions ${\Xi }_c^{{(}^{\prime },\ast )}{\bar{\Xi }}^{(\ast )}$, ${\Omega }_c^{(\ast )}\bar{\Lambda }$, ${\Omega }_c^{(\ast )}{\bar{\Sigma }}^{(\ast )}$, ${\Lambda }_c\bar{\Omega }$ and ${\Sigma }_c^{(\ast )}\bar{\Omega }$. The potential kernels are constructed with the help of effective Lagrangians under SU(3), heavy quark, and chiral symmetries to describe these interactions. To search for possible molecular states, the kernels are inserted into the quasipotential Bethe-Salpeter equation, which is solved to find poles from scattering amplitude. The results suggest that 36 and 24 bound states can be found in the baryon-baryon and baryon-antibaryon interactions, respectively. However, much large values of parameter $\alpha$ are required to produce the bound states from the baryon-antibaryon interactions, which questions the existence of these bound states. Possible coupled-channel effect are considered in the current work to estimate the couplings of the molecular states to the channels considered.

arXiv comment13 pages, 5 figures. arXiv admin note: text overlap with arXiv:2208.11962

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