Eur. Phys. J. C (2022) 82: 834
https://doi.org/10.1140/epjc/s10052-022-10812-0

Regular Article - Theoretical Physics

Possible charmed-strange molecular dibaryons

¹ School of Physics and Technology, Nanjing Normal University, 210097, Nanjing, China
² Lanzhou Center for Theoretical Physics, Lanzhou University, 730000, Lanzhou, China

^c junhe@njnu.edu.cn

Received: 29 August 2022
Accepted: 14 September 2022
Published online: 22 September 2022

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 ${\mathrm{\Lambda }}_c\mathrm{\Lambda }$, ${\mathrm{\Lambda }}_c{\mathrm{\Sigma }}^{(\ast )}$, ${\mathrm{\Sigma }}_c^{(\ast )}\mathrm{\Lambda }$, and ${\mathrm{\Sigma }}_c^{(\ast )}{\mathrm{\Sigma }}^{(\ast )}$, and corresponding interactions of a charmed baryon and an antistrange baryon ${\mathrm{\Lambda }}_c\overline{\mathrm{\Lambda }}$, ${\mathrm{\Lambda }}_c{\overline{\mathrm{\Sigma }}}^{(\ast )}$, ${\mathrm{\Sigma }}_c^{(\ast )}\overline{\mathrm{\Lambda }}$, and ${\mathrm{\Sigma }}_c^{(\ast )}{\overline{\mathrm{\Sigma }}}^{(\ast )}$. 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.