By analogy with potential nonrelativistic QCD, we construct effective field theories suitable to describe the heavy-quark sector of baryons made of two and three heavy quarks. A long-standing discrepancy between the hyperfine splitting of doubly heavy baryons obtained in the heavy-quark effective theory and potential models is solved. The one-loop matching of the 4-quark operators of dimension 6 is provided.
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Brambilla et al. (2005) studied this question.
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