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The strength of the force between heavy quarks is studied for heavy quarkonium (QQ̄) and doubly heavy baryons (QQq) at finite temperature and rapidity using the gauge/gravity duality in this paper. The strength of the interaction is defined as an effective running coupling α from lattice. By considering the QQ̄ and QQq moving through the thermal quark-gluon plasma, we find that the interaction of heavy quarks for QQ̄ is small and remains almost constant when L<0.2\,fm. The strength of the interaction for QQq is always less than that for QQ̄ and approaches a constant when L<0.4\,fm. The α and the maximum of effective running coupling α̃ for both QQ̄ and QQq decrease with increasing temperature or rapidity. Through comparison, we find that QQq is more sensitive to changes in temperature and rapidity, and the interaction force between quarks is always less than that of QQ̄, indicating that QQ̄ is more stable than QQq in the presence of temperature and rapidity.
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Liu et al. (2024) studied this question.
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