Scalar Glueball: Analysis of the (IJ PC = 00++)-wave

Anisovich, A. V.; Anisovich, V.V.; Sarantsev, A.

doi:10.1007/s002180050385

Cited by 43 publications

(52 citation statements)

References 28 publications

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“…The results of the K-matrix fit obtained in [8] tell us that the coupling constants g 2 qq and G 2 gluonium are of the same order of magnitude (also see the discussion in [11,64,70]), therefore we accept as a qualitative estimate:…”

Section: Evaluation Of the Glueball Component In The Resonancesmentioning

confidence: 65%

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Systematics of quark–antiquark states and scalar exotic mesons

Anisovich¹

2004

Phys.-Usp.

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The analysis of the experimental data of Crystal Barrel Collaboration on the pp annihilation in flight with the production of mesons in the final state resulted in a discovery of a large number of mesons over the region 1900-2400 MeV, thus allowing us to systematize quark-antiquark states in the (n, M 2 ) and (J, M 2 ) planes, where n and J are radial quantum number and spin of the meson with the mass M . The data point to meson trajectories in these planes being approximately linear, with a universal slope. The sector of scalar mesons is discussed in more detail, where, on the basis of the recent K-matrix analysis, the nonet classification of quark-antiquark states was performed: in the region below 2000 MeV, two scalar nonets are fixed, that is, the basic one and the nonet of the first radial excitation. In the scalar sector, there are two states with the isospin

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Section: Evaluation Of the Glueball Component In The Resonancesmentioning

confidence: 65%

“…In [64], the mixing has been modelled within the two-component approach for the decay processes, when the resonance widths are due to the transitions f 0 → qq and f 0 → gg. This model proved that just the glueball accumulated the widths of neighbouring qq states.…”

Section: +50mentioning

confidence: 99%

Systematics of quark–antiquark states and scalar exotic mesons

Anisovich¹

2004

Phys.-Usp.

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“…There are arguments (see Ref. [7] for details) that the broad state f 0 (1530 +30 −250 ) is a descendant of the lightest scalar gluonium which mass, according to lattice calculations [8], is in the region 1500-1700 MeV; an appearance of the broad state f 0 (1530 +30 −250 ) is due to the specific effect of accumulation of widths of the overlapping resonances [27]. So, we conclude that the light σ-meson is beyond both the qq and gluonium systematics.…”

Section: Discussionmentioning

confidence: 99%

“…The advantage of the K-matrix representation is that it allows us not only to determine the locations and partial widths of resonances but also to study characteristics of corresponding states with switched off decay channels: these "primary states", or "bare states" (i.e. states without a cloud of mesons produced by decay processes) are suitable objects for the qq/gluonium classification (see [7] for the details). The decay processes in the scalar/isoscalar sector cause a strong mixing which destroys the qq/gluonium classification.…”

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confidence: 99%

The light σ-meson

Anisovich

Nikonov

2000

Eur. Phys. J. A

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In the framework of the dispersion relation N/D-approach, we restore the low-energy ππ (IJ P C = 00 ++ )-wave amplitude sewing it with the previously obtained K-matrix solution for the region 450-1900 MeV. The restored N/D-amplitude has a pole on the second sheet of the complex-s plane near the ππ threshold, that is the light σ-meson.12.39. Mk, At present the understanding of scalar meson is one of the key problems for the Strong-QCD physics. The ππ low-mass data provide indications on the existence of a low-mass σ-meson. This state is beyond qq and gluonium systematics, which makes it necessary to confirm its existence as well as to study the possible mechanisms of its formation.Experimental data on meson spectra accumulated by the Crystal Barrel Collaboration [1], GAMS [2] and BNL [3] groups provided a good basis for setting up the qq/gluonium classification of the light scalars. For the (IJ P C = 00 ++ )-wave, the combined K-matrix analysis of the reactions ππ → ππ, KK, ηη, ηη ′ , ππππ has been carried out over the mass range 450-1900 MeV [4,5], then the K-matrix analysis was extended to the waves , thus making it possible to establish the qq systematics of scalars for 1 3 P 0 qq and 2 3 P 0 qq multiplets. The advantage of the K-matrix representation is that it allows us not only to determine the locations and partial widths of resonances but also to study characteristics of corresponding states with switched off decay channels: these "primary states", or "bare states" (i.e. states without a cloud of mesons produced by decay processes) are suitable objects for the qq/gluonium classification (see [7] for the details). The decay processes in the scalar/isoscalar sector cause a strong mixing which destroys the qq/gluonium classification. Another important effect generated by transitions (qq) 1 → real mesons → (qq) 2 is an accumulation of widths of neighbouring resonances by one of them, that results in appearance of a broad state.According to [4,5], five bare scalar/isoscalar states are located in the region 700-1800 MeV: f An important result of the article [4,5] is that the K-matrix 00 ++ -amplitude has no pole singularities in the region 500-800 MeV. Here the ππ-scattering phase δ 0 0 increases smoothly reaching 90• at 800-900 MeV. A straightforward explanation of such a behaviour of δ 0 0 might consist in the presence of a broad resonance, with a mass about 600-900 MeV and width Γ ∼ 500 MeV (for example, see Refs. [10,11] and references therein). However, according to the Kmatrix solution [4,5], the 00 ++ -amplitude does not contain pole singularities on the second sheet of the complex-M ππ plane inside the interval 450 ≤ Re M ππ ≤ 900 MeV: the K-matrix amplitude has a low-mass pole only, which is located on the second sheet either near the ππ threshold or even below it. In [4,5], the presence of this pole was not emphasized, for the left-hand cut, which is important for the reconstruction of analytic structure of the low-energy partial amplitude, was taken into account only indirectly; a proper way for the ...

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“…The rules of quark combinatorics were previously suggested for the high energy hadron production [39] and then extended for hadronic J/Ψ decays [40]. The quark combinatoric relations were used for the decay couplings of the scalar-isoscalar states in the analysis of the quark-gluonium content of resonances in [41] and later on in a set of papers [8,9,10,11,42,43,44,45]. We present the decay couplings for scalar mesons, which are a subject of our analysis, in Appendix C.…”

Section: Quark-combinatorics Rules For the Decay Couplingsmentioning

confidence: 99%

K-matrix analysis of the (IJPC = 00+ +)-wave in the mass region below 1900 MeV

2003

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We present the results of the current analysis of the partial wave IJ P C = 00 ++ based on the available data for meson spectra (ππ, K K, ηη, ηη ′ , ππππ). In the framework of the K-matrix approach, the analytical amplitude has been restored in the mass region 280 MeV< √ s < 1900 MeV. The following scalar-isoscalar states are seen: comparatively narrow resonances f 0 (980), f 0 (1300), f 0 (1500), f 0 (1750) and the broad state f 0 (1200 − 1600). The positions of the amplitude poles (masses and total widths of the resonances) are determined as well as pole residues (partial widths to meson channels ππ, K K, ηη, ηη ′ , ππππ). The fitted amplitude gives us the positions of the K-matrix poles (bare states) and the values of bare-state couplings to meson channels thus allowing the quark-antiquark nonet classification of bare states. On the basis of the obtained partial widths to the channels ππ, K K, ηη, ηη ′ , we estimate the quark/gluonium content of f 0 (980), f 0 (1300), f 0 (1500), f 0 (1750), f 0 (1200 − 1600). For f 0 (980), f 0 (1300), f 0 (1500) and f 0 (1750), their partial widths testify the q q origin of these mesons though being unable to provide precise evaluation of the possible admixture of the gluonium component in these resonances. The ratios of the decay coupling constants for the f 0 (1200 − 1600) support the idea about gluonium nature of this broad state.→ ππ, K K, ηη, ηη ′ , makes us to apply the other methods to single out the states which are extra ones for the q q-systematics, namely, exotic states. The method based on the consideration of trajectories in the (n, M 2 )-plane (n is radial quantum number of the q q state and M its mass) is discussed in Section 5.On the basis of the extracted partial widths for the channels ππ, K K, ηη, ηη ′ , the following properties of resonances f 0 (980), f 0 (1300), f 0 (1500), f 0 (1750) and broad state f 0 (1200 − 1600) are to claim:1. f 0 (980): This resonance is dominantly the q q state, q q = nn sin ϕ + ss cos ϕ, with a large ss component. Under the assumption that the admixture of the glueball component is

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Scalar Glueball: Analysis of the (IJ PC = 00++)-wave

Cited by 43 publications

References 28 publications

Systematics of quark–antiquark states and scalar exotic mesons

Systematics of quark–antiquark states and scalar exotic mesons

The light σ-meson

K-matrix analysis of the (IJPC = 00+ +)-wave in the mass region below 1900 MeV

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