Towards resolution of the scalar meson nonet enigma

Burakovsky, Leonid

doi:10.1007/bf02550457

Cited by 5 publications

(7 citation statements)

References 45 publications

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“…Thus, the constituent quark model discussed in this paper supports the qq assignment for the scalar meson nonet (6) found by one of the authors in a previous paper [21]. For this assignment, the f 0 -f…”

Section: P -Wave Spectroscopysupporting

confidence: 90%

“…The q q assignment obtained by one of the authors by the application of the linear mass spectrum discussed in ref. [20] to a composite system of the two, pseudoscalar and scalar nonets, is [21] a 0 (1320), K * 0 (1430), f 0 (1525), f 0 (980), (6) in essential agreement with (3) and (5).…”

Section: Scalar Meson Nonetsupporting

confidence: 65%

“…Since the experimentally established isodoublet states of the scalar and tensor meson nonets, K * 0 and K * 2 , are mass degenerate, 1429 ± 6 MeV and 1429 MeV, respectively, and different models (like those considered in refs. [17,19,21]) lead to the q q assignment for the scalar nonet which includes both the a 0 (1320) and f 0 (1525) mesons which are mass degenerate with the corresponding tensor mesons a 2 (1320) and f ′ 2 (1525), the question naturally suggests itself as to whether the scalar and tensor nonets are intrinsically mass degenerate 2 [3]. Similar questions may be asked regarding the mass degeneracy of the axial-vector and pseudovector nonets in the I = 1 and I = 1/2 channels.…”

Section: Tensor Meson Nonetmentioning

confidence: 99%

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Regarding the enigmas ofP-wave meson spectroscopy

Burakovsky

Goldman

1998

Phys. Rev. D

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The mass spectrum of P -wave mesons is considered in a nonrelativistic constituent quark model. The results show the common mass degeneracy of the isovector and isodoublet states of the scalar and tensor meson nonets, and do not exclude the possibility of a similar degeneracy of the same states of the axial-vector and pseudovector nonets. Current experimental hadronic and τdecay data suggest, however, a different scenario leading to the a 1 meson mass ≃ 1190 MeV and the K 1A -K 1B mixing angle ≃ (37 ± 3) o . Possible ss states of the four nonets are also discussed.

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Section: P -Wave Spectroscopysupporting

confidence: 90%

Section: Scalar Meson Nonetsupporting

confidence: 65%

Section: Tensor Meson Nonetmentioning

confidence: 99%

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Regarding the enigmas ofP-wave meson spectroscopy

Burakovsky

Goldman

1998

Phys. Rev. D

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“…Burakovsky, partly with Goldman, calculated the mass spectra of P-wave mesons using a non-relativistic quark model [1198,1199]. The calculation assumed degeneracy of tensor and scalar mesons, except for the scalar isosinglet state.…”

Section: Scalar Mesons With Instanton-induced Interactionsmentioning

confidence: 99%

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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“…The qq assignment obtained by one of the authors by the application of the linear mass spectrum discussed in ref. [22] to a composite system of the two, pseudoscalar and scalar nonets, is [23] a 0 (1320), K * 0 (1430), f 0 (1525), f 0 (980),…”

mentioning

confidence: 99%