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26 April 2024
 
  » arxiv » 2106.09080

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Diquark properties from full QCD lattice simulations
Anthony Francis ; Philippe de Forcrand ; Randy Lewis ; Kim Maltman ;
Date 16 Jun 2021
AbstractWe 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, $ar{3}_F$, $ar{3}_c$, $J^P=0^+$, and ’’bad’’ axial vector, $6_F$, $ar{3}_c$, $J^P=1^+$, quantum numbers, and a bad-good mass difference for $ud$ flavors, $198(4)~ m{MeV}$, in excellent agreement with phenomenological determinations. Quark-quark attraction is found only in the ’’good’’ diquark channel. We extract a corresponding diquark size of $sim 0.6~ m{fm}$ 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.
Source arXiv, 2106.09080
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