Abstract
We report on the recent progress on the computation of the doubly heavy baryon spectrum in effective field theory. The effective field theory is built upon the heavy-quark mass and adiabatic expansions. The potentials can be expressed as NRQCD Wilson loops with operator insertions. These are nonperturbative objects and so far only the one corresponding to the static potential has been computed with lattice QCD. We review the proposal for a parametrization of the potentials based in an interpolation between the shortand long-distance regimes. The long-distance description is obtained with a newly proposed Effective String Theory which coincides with the previous ones for pure gluodynamics but it is extended to contain a fermion field. We show the doubly heavy baryon spectrum with hyperfine contributions obtained using these parametrizations for the hyperfine potentials.
Highlights
In the past two decades, there have been continuous discoveries at various experimental facilities of hadrons that fall into the category of doubly heavy hadrons
The characteristic energy scale of the heavy-quark dynamics is their binding energy, which can be written as mQv2, with v ⌧ 1 the heavy-quark relative velocity, while the light degrees of freedom dynamics are dominated by nonperturbative e↵ects and characterized by the ⇤QCD scale
We have reported on the results for the doubly heavy baryon spectrum including hyperfine contributions
Summary
In the past two decades, there have been continuous discoveries at various experimental facilities of hadrons that fall into the category of doubly heavy hadrons. In this case, the Wilson loop with light-quark operator insertions corresponding to the static potential, has been obtained in the lattice [10, 11] including several excited states. The Wilson loop with light-quark operator insertions corresponding to the static potential, has been obtained in the lattice [10, 11] including several excited states This lattice data was used in Ref. In the case of the heavy-quark spin and angular-momentum dependent potentials there is no available lattice data. This EST is an extension of the one which has been used to very successfully describe the standard and hybrid quarkonium potentials [14,15,16,17]
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