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We perform a systematical investigation of the possible deuteron-like bound states with configuration , where denotes the nucleon (anti-nucleon), in the framework of the one-boson-exchange-potential model. In the spin-triplet sector we take into account both the and channels due to non-vanishing tensor force. There exist several candidates of the loosely bound molecular states for the and systems, which lie below the threshold of or . We also investigate the possible loosely bound states with configurations and . These molecular candidates may be searched for at Belle II and LHC in the near future.

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