Strange and heavy quarks in soft processes at high energies: Total cross sections and inclusive production

Abstract

Within the language of quark-gluon and Reggeon exchanges it is possible to relate the total cross section and the production suppression parameter for particles with different flavors to the masses of dressed quarks. We calculated the quenching of the suppression parameter A in the soft region due to the cascade decay of highly excited qq states. The relative production probabilities for Swave hadrons (mesons with J P = O -, 1 -and baryons with JP= t+,++) and P-wave hadrons (mesons with J P = O + , l f , 2 + and baryons with J P = i -, + , I -) are also estimated. Predictions for heavyflavor production ( c , b,t) at superhigh energies are made. In the description of soft hadronic properties it is helpful to use the notion of dressed quarks (or valons), where the masses of the light quarks are approximately given by m u r m d ~300-400 MeV , ( l a ) m, --450-550 MeV . ( l b )For processes where strange and nonstrange quarks participate it is possible to relate the total quark-quark cross section for the production of strange (s) and nonstrange quarks ( n ) as well as the parameter h, =s /n < 1, describing the suppression of the production of strange quarks, to the masses of dressed quarks:according to the calculation of the total and the differential cross sections for ~p and pp collisions within the framework of these two types of couplings, the coupling of the second type [Fig. l(d) or l(f)] is actually found to be d~m i n a n t .~The physical reason for the smallness of the coupling of the first kind compared to the coupling of the second kind is the small size of the Pomeron (the gluonic net) atThe arguments for relation (2) are as follows: In the high-energy region, where it is possible to use the A language of Reggeon exchanges, the total hadron-hadron cross section is described in terms of Pomeron (P) exchange. According to the rules of the so-called 1/N expansion''* the Pomeron is interpreted as a cylindrical gluonic net and accordingly there are two types of

Systematics of quark–antiquark states and scalar exotic mesons

“…Such a magnitude being used for the definition of ϕ glueball corresponds to λ = 0.24, but this suppression parameter is much lower than those observed in other processes: for the decaying processes we have λ = 0.6 ± 0.2 [11,22], while for the high-energy multiparticle production it is λ ≃ 0.5 [23]. In this way, the quark combinatorics points to the one candidate only, that is, the broad state f 0 (1200 − 1600); we come back to this important statement later on.…”

“…f 0 (1200 − 1600): The broad state is the descendant of the primary glueball. The analysis of hadronic decays of this resonance confirmed its glueball nature: the glueball descendant has the quark-antiquark component (qq) glueball = (uū + dd + √ λss)/ √ 2 + λ [21], which is defined by the probability to create new qq-pairs by the gluon field uū : dd : ss = 1 : 1 : λ, the suppression parameter for the production of strange quarks being in the interval λ ≃ 0.5 − 0.8 [22,23]. In terms of mixing angle for the nn and ss components, this means that the glueball descendant must have ϕ glueball ≃ 27…”

“…In the reactions pp(at rest)→ πππ, ππη, πηη, πKK, the connected system of the dispersion-relation N/D equations, with all pair-meson equations accounted for, has been written in [51]. The three-meson production amplitudes being related to each other by the N/D equations leave less freedom for the fitting than formula (23) and, in principle, they provide more information about meson-meson amplitudes. However, the fitting on the basis of the N/D equations is much more complicated procedure than the K-matrix analysis.…”

The lightest scalar glueball

“…Experimental data provide the following values for this parameter: λ ≃ 0.5 [32] in central hadron production in hadron-hadron high-energy collisions, λ = 0.8 ± 0.2 [33] for the decay of tensor mesons and λ = 0.6 ± 0.1 [34,35] for the ratio of yields of η and η ′ mesons in the decays J/ψ → γη/γη ′ . Coupling constants for the decay qq → P 1 P 2 into channels (1.8), which are defined by the leading planar diagrams in the 1/N expansion, may be presented as 11) where C P1P2 (φ, λ) is a wholly calculable coefficient depending on the mixing angle φ and parameter λ; g L is a common factor describing the unknown dynamics of the process.…”

Quark Structure of Hadrons and High Energy Collisions

“…Let us repeat that both (44) and the diagrams of Figs.13c, 14a, 14b stand for promptly produced mesons. Fig.14a in terms of a spectral integration (see also [61], [62]): (i) quark loops in Fig.14a are taken energy-off-shell; (ii) for the energy-off-shell quark loops the discontinuities are calculated (corresponding cuts are shown by the dotted lines I, II, III and IV); (iii) the spectral integrals are determined by the discontinuities being the integrands.…”