"Naive" Quark-Pair-Creation Model of Strong-Interaction Vertices

Abstract

We explicitly formulate the vacuum quark-pair-creation model (QPC) of strong-interaction vertices (Micu, Carlitz and Kislinger) in terms of the harmonic-oscillator spatial-SU(6) wave functions and an explicit vacuum quark-antiquark-pair transition matrix (both displaying the quark internal momenta). The coupling constants are expressed as functions of masses and the oscillator radius. The structure of the formulas is in agreement with the expressions coming from VMD (vector-meson dominance) and PCAC (partial conservation of axial-vector current), and the quark-model calculation of leptonic decays. We carefully investigate the relation of this QPC model with the additive quark model with elementary meson emission, which is known to explain most of the hadronic decay? We show that we recover this model in a given limit. It is shown that in this limit, a term G ( i ) . ( g , -k i ) (depending on the internal quark momentum) appears in place of the usual Z(i).$, term; the additional contribution is similar to the well-known "recoil" term of Mitra and Ross. The main limits of the model lie (i) in the presence of a phenomenological pair-creation constant and (ii) in the nonrelativistic character of the treatment. A critical test of our model is provided by prediction of the decay-products polarization. We find a striking agreement with experiment for the crucial A , and B decays. We make a comparison with the parameter-dependent model of Colglazier and Rosner.

Hybrid mesons

“…Tanimoto categorized these in terms of three possibilities [102]: (i) decays of the type hybrid → hybrid + meson; these can occur via a mechanism for quark pair production, such as the 3 P 0 decay model [103], [104]; (ii) hybrid → hybrid + meson → meson + meson, a two-step process in which the virtual hybrid undergoes a gluonic de-excitation to a (conventional) meson state; (iii) hybrid → meson + meson, where the valence gluon produces a quark pair.…”

Higher radial and orbital excitations in the charmed meson family

“…After analyzing the mass spectrum of charmed mesons, in this work we further study two-body OZI-allowed decays of charmed mesons, where the quark pair creation (QPC) model [16][17][18][19][20][21][22] is applied to calculating strong decays. With the modified GI model, we obtain the numerical wave functions of charmed mesons, which can be applied to calculating strong decays of charmed mesons, where we give partial and total widths of charmed mesons under discussion and some typical ratios relevant to these decays.…”

Mixing of the low-lying three- and five-quarkΩstates with negative parity

“…The most commonly accepted mechanism for quark-antiquark pair creation is the 3 P 0 model [8][9][10]. In this model the created quark-antiquark pair is in its first orbitally excited state, i.e.…”

“…For such transitions, the key ingredient is the QQ creation mechanism. Most widely accepted is the 3 P 0 model [8], which has been successfully applied to the decays of mesons and baryons [9,10], and this was also employed to analyse the sea flavor content of the ground states of the SU (3) octet baryons [11,12], as well as of the spin and electromagnetic properties of baryons [13,14]. In the 3 P 0 model, the QQ pair is created with the quantum numbers of the QCD vacuum 0 ++ , which corresponds to 3 P 0 .…”