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Potential-NRQCD offers an effective-theory based approach to heavy-quarkphysics. While meson Q-anti_Q computations are tractable in purealpha_s-perturbation theory, more complex many-body quark systems transcend it.A possibility inherited from nuclear physics is to employ the perturbativestatic potentials in a numerical diagonalization, eventually obtaining theexact lowest eigenvalue in each channel for a given-order perturbativepotential. The power counting is manifest in the potential instead of thespectrum. The NNLO-potential for the 3-body problem is already available, so wehave addressed triply-heavy baryons in this initial work with a computer-aided2-parameter variational treatment.

Triply heavy baryon mass estimated within pNRQCD