Nonlinear Regge trajectories and glueballs

Brisudová, Martina M.; Burakovsky, Leonid; Goldman, J.; Szczepaniak, Adam P.

doi:10.1103/physrevd.67.094016

Cited by 18 publications

(14 citation statements)

References 17 publications

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“…We use the masses of the charged D mesons when available. For (D, D * ) and for (D 1 , D * 2 ), the mass differences to their strange partners are 99,112,98,112 MeV/c 2 , respectively, consistent with a mass difference between s and d quark of ≈ 105 MeV/c 2 . The third doublet (D * 0 , D 1 ) resists such a simple reasoning.…”

Section: S Mesonsmentioning

confidence: 60%

Glueballs, hybrids, multiquarks

2007

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Glueballs, hybrids and multiquark states are predicted as bound states in models guided by quantum chromo dynamics (QCD), by QCD sum rules or QCD on a lattice. Estimates for the (scalar) glueball ground state are in the mass range from 1000 to 1800 MeV, followed by a tensor and a pseudoscalar glueball at higher mass. Experiments have reported evidence for an abundance of meson resonances with 0 −+ , 0 ++ and 2 ++ quantum numbers. In particular, the sector of scalar mesons is full of surprises starting from the elusive and mesons. The a 0 (980) and f 0 (980), discussed extensively in the literature, are reviewed with emphasis on their Janus-like appearance as KK molecules, tetraquark states or qq mesons. Most exciting is the possibility that the three mesons f 0 (1370), f 0 (1500), and f 0 (1710) might reflect the appearance of a scalar glueball in the world of quarkonia. However, the existence of f 0 (1370) is not beyond doubt and there is evidence that both f 0 (1500) and f 0 (1710) are flavour octet states, possibly in a tetraquark composition. We suggest a scheme in which the scalar glueball is dissolved into the wide background into which all scalar flavour-singlet mesons collapse.There is an abundance of meson resonances with the quantum numbers of the . Three states are reported below 1.5 GeV/c 2 whereas quark models expect only one, perhaps two. One of these states, (1440), was the prime glueball candidate for a long time. We show that (1440) is the first radial excitation of the meson.Hybrids may have exotic quantum numbers which are not accessible by qq mesons. There are several claims for J P C = 1 −+ exotics, some of them with properties as predicted from the flux tube model interpreting the quark-antiquark binding by a gluon string. The evidence for these states depends partly on the assumption that meson-meson interactions are dominated by s-channel resonances. Hybrids with non-exotic quantum numbers should appear as additional states. Light-quark mesons exhibit a spectrum of (squared) masses which are proportional to the sum of orbital angular momentum and radial quantum numbers. Two states do not fall under this classification. They are discussed as hybrid candidates.The concept of multiquark states has received revived interest due to new resonances in the spectrum of states with open and hidden charm. The new states are surprisingly narrow and their masses and their decay modes often do not agree with simple quark-model expectations.Lattice gauge theories have made strong claims that glueballs and hybrids should appear in the meson spectrum. However, the existence of a scalar glueball, at least with a reasonable width, is highly questionable. It is possible that hybrids will turn up in complex multibody final states even though so far, no convincing case has been made for them by experimental data. Lattice gauge theories fail to identify the nonet of scalar mesons. Thus, at the present status of approximations, lattice gauge theories seem not to provide a trustworthy guide into unknown territory ...

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Section: S Mesonsmentioning

confidence: 60%

Glueballs, hybrids, multiquarks

2007

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“…Models of trajectories satisfying constraints by unitarity, analyticity and duality [22] can be found in Refs. [26,27,28].…”

Section: Unitarity Analyticity and Duality Constraints On Trajectoriesmentioning

confidence: 99%

Pomeron/glueball and odderon/oddball trajectories

et al. 2020

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We predict glueball/oddball resonances lying on the pomeron/odderon trajectories. A simple new form of the trajectories, with threshold and asymptotic behaviour required by analyticity and unitarity, is proposed. The parameters of these (pomeron and odderon) trajectories are fitted to the data on highenergy elastic proton-proton scattering. The fitted trajectories are extrapolated to the resonance region to predict masses and widths of glueballs and oddballs.The (pomeron and odderon) trajectories may be used to calculate processes of central exclusive diffraction (CED).

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“…Concerning the kernel as being just the ρ exchange, the growing energy dependence of the interaction (see Table I) has been used as one element to justify the introduction of Regge phenomena [34][35][36]. The ρ exchange in our approach would then be substituted by a Regge trajectory.…”

Section: Summary Of the ρρ Interactionmentioning

confidence: 99%

On the chiral covariant approach to ρρ scattering

2017

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We examine in detail a recent work (D. Gülmez, U.-G. Meißner and J. A. Oller, Eur. Phys. J. C 77:460 (2017)), where improvements to make ρρ scattering relativistically covariant are made. The paper has the remarkable conclusion that the J = 2 state disappears with a potential which is much more attractive than for J = 0, where a bound state is found. We trace this abnormal conclusion to the fact that an "on-shell" factorization of the potential is done in a region where this potential is singular and develops a large discontinuous and unphysical imaginary part. A method is developed, evaluating the loops with full ρ propagators, and we show that they do not develop singularities and do not have an imaginary part below threshold. With this result for the loops we define an effective potential, which when used with the Bethe-Salpeter equation provides a state with J = 2 around the energy of the f2(1270). In addition, the coupling of the state to ρρ is evaluated and we find that this coupling and the T matrix around the energy of the bound state are remarkably similar to those obtained with a drastic approximation used previously, in which the q 2 terms of the propagators of the exchanged ρ mesons are dropped, once the cut-off in the ρρ loop function is tuned to reproduce the bound state at the same energy. *

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Nonlinear Regge trajectories and glueballs

Cited by 18 publications

References 17 publications

Glueballs, hybrids, multiquarks

Glueballs, hybrids, multiquarks

Pomeron/glueball and odderon/oddball trajectories

On the chiral covariant approach to ρρ scattering

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