Effective hadron theory of QCD

Semileptonic decays of heavy baryons in the relativistic quark model

“…The contribution Γ (2) is the consequence of the projection onto the positive-energy states. Note that the form of the relativistic corrections resulting from the vertex function Γ (2) is explicitly dependent on the Lorentz structure of the quark-diquark interaction. In the heavy quark limit m Q → ∞ only Γ (1) contributes, while Γ (2) gives the subleading order contributions.…”

“…(2) taking the quark interaction into account. Dashed lines correspond to the effective potential V Qd in (6).…”

“…Since the baryon is a three-body system, its theory is much more complicated compared to the two-body meson system. The quark-diquark picture of a baryon [1,2] is the popular approximation widely used to describe the baryon properties [1,2,3,4,5]. Such approximation allows to reduce the very complicated relativistic three-body problem to the two-body one.…”

Scalar mesons in the Nambu-Jona-Lasinio model with the ’t Hooft interaction

“…Let us define the parameters m u and Λ, following the papers [7,8,9]. We shall use the four equations 1) the Goldberger-Treiman relation…”

“…3) the relation between g σqq and g πqq , which was obtained by taking into account the π − a 1 transitions (see [8,9])…”