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Diquark properties from full QCD lattice simulations
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abstract
We study diquarks on the lattice in the background of a static quark, in a gauge-invariant formalism with quark masses down to almost physical $m_\pi$. We determine mass differences between diquark channels as well as diquark-quark mass differences. The lightest and next-to-lightest diquarks have "good" scalar, $\bar{3}_F$, $\bar{3}_c$, $J^P=0^+$, and "bad" axial vector, $6_F$, $\bar{3}_c$, $J^P=1^+$, quantum numbers, and a bad-good mass difference for $ud$ flavors, $198(4)~\rm{MeV}$, in excellent agreement with phenomenological determinations. Quark-quark attraction is found only in the "good" diquark channel. We extract a corresponding diquark size of $\sim 0.6~\rm{fm}$ and perform a first exploration of the "good" diquark shape, which is shown to be spherical. Our results provide quantitative support for modeling the low-lying baryon spectrum using good light diquark effective degrees of freedom.
Forward citations
Cited by 3 Pith papers
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Chiral effective theory of scalar and vector diquarks revisited
A new term in the chiral diquark Lagrangian is shown to control the mass ordering of pseudoscalar diquarks and to set the threshold at which heavy-baryon decays turn off under chiral restoration.
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$X(3872)$ and hidden charmed tetraquarks
A diquark-antidiquark quark model with parameters fitted to X(3872) and Tcc predicts hidden-charm tetraquark masses and tentatively assigns XYZ states.
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Lattice perspectives on doubly heavy tetraquarks
A review of lattice QCD results concludes that doubly heavy tetraquarks Tbb(ud/us) are firmly predicted as bound states, Tcc appears as a virtual state at nonphysical masses, and Tbc is under active study.
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