Potential models of quarkonium

Abstract

*) Как говорят, для них нарушено правило ОЦИ (Окубо -Цвейга -Иизуки) В-распада идут по каналам, запрещенным этим правилом. **} Напомним, что, например, система ее называется системой со скрытым арома-том, а си --с открытым ароматом.

A Nonperturbative Model for the Strong Running Coupling Within Potential Approach

“…However, the low-energy hadron dynamics entirely remains beyond the applicability range of perturbation theory. In what follows we shall adhere the so-called potential approach [11][12][13][14][15][16] to the construction of the nonperturbative model for the QCD invariant charge.…”

“…In general, there is a variety of nonperturbative approaches to handle the strong interaction processes at low energies. For example, one can gain some hints about the hadron dynamics in infrared domain from lattice simulations [1], string models [2], AdS/CFT methods [3,4], sum rules [5,6], dispersive (or analytic) approach to QCD [7][8][9], bag models [10], potential models [11][12][13][14][15][16]. In what follows we shall employ the latter approach, that involves the construction of the QCD invariant charge which satisfies certain nonperturbative requirements.…”

Determination of the glueball mass spectrum with allowance for spin-orbital interactions

“…To describe the mass spectrum of a coupled relativistic state, the constituent masses of particles [4][5][6][7][8][9][10] that differ from masses of initial free particles are commonly used. These masses differ from the masses of free particle states m 1 and m 2 .…”

“…Gross and Wilezek [2] and Politzer [3] have demonstrated that the coupling constant of quark-gluon interaction is small at short distances. The phenomenological potential quark model [4][5][6][7] that describes well the quark spectrum and its charmonium [7] and bottomonium characteristics [8][9][10][11] meets this condition. By now this is confirmed by numerous experimental data, in particular, on highly inelastic electron scattering by protons and neutrons.…”

Mass Spectra of Radially and Orbitally Excited States of Mesons

“…Among phenomenological models the potential quark models are the simplest ones, they make it possible to represent the different stages of calculations in terms of commonly used physical quantities. Although these models are suitable rather well for the heavy quark hadrons treating of hadrons containing the light quarks is more complicated task, which demands relativistic and nonpotential effects to be taken into account [2,3,4]. The relativistic model of quasi-independent quarks is applicable to the description of properties of light and heavy hadrons [5,6,7,8].…”