Diquark correlations in baryons on the lattice with overlap quarks

Abstract

We evaluate baryon wave functions in both the Coulomb and Landau gauge in lattice QCD. These are constructed from quark propagators calculated with the overlap Dirac operator on quenched gauge configurations at β = 6. By comparing baryon states that differ in their diquark content, we find evidence for enhanced correlation in the scalar diquark channel, as favored by quark models. We also summarize earlier results for diquark masses in the Landau gauge, casting them in a form more easily compared with subsequent studies.

BKwith two flavors of dynamical overlap fermions

“…There is, however, an indication that the overlap fermion formulation has relatively small scaling violation within the quenched calculation of B K [38], where no significant dependence on the lattice spacing was observed between 1/a ∼ 2.2 GeV and 1.5 GeV. Even at a fixed lattice spacing, the use of a different input to fix the lattice spacing could lead to an appreciable change of B K because B K has a significant dependence on the squared meson mass (am 12 ) 2 as seen in Fig.…”

Neutral Kaon mixing beyond the Standard Model

“…In [13] and [14] ratios were suggested that give directly the BSM to SM contribution at the physical point,…”

Comparison of gluon flux-tube distributions for quark-diquark and quark-antiquark hadrons

“…While string-type models consisting of a quark plus a diquark have been studied using various analytic techniques (see [2] for a review), there have only been a few studies of this type of system on the lattice. These studies have investigated the mass of diquarks [3][4][5][6][7], and, more recently, the nature of diquark correlations [8]. Recently we investigated the formation of flux tubes in static baryon systems on the lattice using a high statistics approach which enabled us to observe correlations between the vacuum action density and the quark positions in a gauge independent manner [9].…”