On the mechanism of open-flavor strong decays

Abstract

Open-flavor strong decays are mediated by qq pair production, which is known to occur dominantly with 3 P 0 quantum numbers. The relation of the phenomenological 3 P 0 model of these decays to ''microscopic'' QCD decay mechanisms has never been established clearly. In this paper we investigate qq meson decay amplitudes assuming pair production from the scalar confining interaction (sKs) and from one gluon exchange ͑OGE͒. sKs pair production predicts decay amplitudes of approximately the correct magnitude and D/S amplitude ratios in b 1 → and a 1 → which are close to experiment. The OGE decay amplitude is found to be subdominant in most cases, a notable exception being 3 P 0 → 1 S 0 ϩ 1 S 0 . The full sKs ϩ OGE amplitudes differ significantly from 3 P 0 model predictions in some channels and can be distinguished experimentally, for example, through an accurate comparison of the D/S amplitude ratios in b 1 → and a 1 →.

Coulomb gauge QCD, confinement, and the constituent representation

“…[31]. The authors noted that diagram (a) is strongly suppressed with respect to (b) due to momentum routing through the pair production vertex (this diagram is zero in the nonrelativistic limit when a delta function potential is in place.…”

“…The other class of diagrams considered in Ref. [31] was that generated by a phenomenological scalar interaction given in terms of scalar confinement (cf. Eq.…”

Unifying Aspects of Light- and Heavy-Systems

“…With a J = 1 meson in both the initial and final state these three decays proceed via two partial waves (S, D), and therefore probe aspects of hadron structure inaccessible in simpler processes involving only spinless mesons in the final state, such as ρ → ππ. For example and of importance, in constituentquark-like models the D/S amplitude ratio is very sensitive [49] to the nature of the phenomenological long-range confining interaction.…”

Open Flavor Strong Decays

“…Here, we present some our results for the two-body strong decay widths of nucleon resonances in the 3 P 0 paircreation model. The decay widths are computed as [10,11,17,27,28,30,33,45] …”

“…Several phenomenological models have been developed in order to carry out strong decay studies, including paircreation models [10][11][12][13][14][15][16][17], elementary meson emission models [18][19][20][21][22][23] and effective Lagrangian approaches (for example, see Ref. [24]).…”