Three channel model of meson-meson scattering and scalar meson spectroscopy

Kamiński, R.; Leśniak, L.; Loiseau, B.

doi:10.1016/s0370-2693(97)01090-3

Cited by 72 publications

(145 citation statements)

References 30 publications

(50 reference statements)

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“…Such quark content can, e.g., easily explain a large branching ratio of 22% of the f 0 (980) decay into the KK channel. The mass of the scalar isoscalar mostly octet state predicted by our solution, 1467 ± 44 MeV, is in good agreement with recent analysis by Kaminski et al [36] of the three coupled channel (ππ, KK, 4π) model which reveals a relatively narrow (Γ = 135 ± 45 MeV) resonance with a mass of 1430 ± 30 MeV.…”

supporting

confidence: 92%

Towards resolution of the scalar meson nonet enigma

Burakovsky

1997

Found Phys

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The new SU(3) nonet mass formula 2M 2 (ss)+3M 2 (nn, I = 1) = 4M 2 (sn)+ M 2 (nn, I = 0) (n = u, d), obtained in our previous paper by using Regge phenomenology, is rederived for the pseudoscalar and scalar mesons in the Nambu-Jona-Lasinio model with instanton-induced interaction and applied to the problem of the correct qq assignment for the scalar meson nonet. The results strongly favor the masses of the scalar isoscalar mostly octet and mostly singlet states in the vicinity of 1.45 GeV and 1.1 GeV, respectively.

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supporting

confidence: 92%

Towards resolution of the scalar meson nonet enigma

Burakovsky

1997

Found Phys

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“…Moussallam's form factor has been calculated for the meson-meson amplitudes taken from the three-channel model of Ref. [43] under an additional assumption that the off-diagonal matrix elements T 13 and T 23 are set equal to zero in the region below the third threshold (m 0 < 1.4 GeV). Moreover the cut-off energy E 0 defined in [41] has been chosen equal to 2 GeV.…”

Section: Resultsmentioning

confidence: 99%

Dalitz plot studies ofD0→KS0π+

et al. 2014

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The presently available high-statistics data of the D 0 → K 0 S π + π − processes measured by the Belle and BABAR Collaborations are analyzed within a quasi two-body factorization framework. Starting from the weak effective Hamiltonian, tree and annihilation amplitudes build up the D 0 → K 0 S π + π − decay amplitude. Two of the three final-state mesons are assumed to form a single scalar, vector or tensor state originating from a quark-antiquark pair so that the factorization hypothesis can be applied. The meson-meson final state interactions are described by Kπ and ππ scalar and vector form factors for the S and P waves and by relativistic Breit-Wigner formulae for the D waves. A combined χ 2 fit to a Belle Dalitz plot density distribution, to the total experimental branching fraction and to the τ − → K 0 S π − ντ decay data is carried out to fix the 33 free parameters. These are mainly related to the strengths of the scalar form factors and to unknown meson to meson transition form factors at a large momentum transfer squared equal to the D 0 mass squared. A good overall agreement to the Belle Dalitz plot density distribution is achieved. Another set of parameters fits equally well the BABAR Collaboration Dalitz plot model. The parameters of both fits are close, following from similar Dalitz density distribution data for both collaborations. The corresponding one-dimensional effective mass distributions display the contributions of the ten quasi two-body channels entering our D 0 → K 0 S π + π − decay amplitude. The branching fractions of the dominant channels compare well with those of the isobar Belle or BABAR models. The lower-limit values of the branching fractions of the annihilation amplitudes are significant. Built upon experimental data from other processes, the unitary Kπ and ππ scalar form factors, entering our decay amplitude and satisfying analyticity and chiral symmetry constraints, are furthermore constrained by the present Dalitz plot analysis. Our D 0 → K 0 S π + π − decay amplitude could be a useful input for determinations of D 0 -D 0 mixing parameters and of the CKM angle γ (or φ3).

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“…Only two-body states were considered, and two-body unitarity was implemented. A σσ channel was introduced to mimic the 4π contribution, but it was shown to be relevant only above 1400 MeV [75,76]. In another example [77], a broad σ was included in a simple model, which was nevertheless unitary and crossing symmetric, containing the lowest-order chiral (contact) term and explicit resonances at tree level, in order to describe ππ scattering.…”

Section: Poles From Unitarity and Chiral Perturbation Theorymentioning

confidence: 99%

“…In addition, by the end of the nineties and throughout the first decade of the new millennium, virtually all approaches that fitted either heavy meson decays and/or ππ scattering phases containing at the very least some minimal implementation of chiral symmetry, unitarity and analyticity obtained a pole around 430 to 550 MeV corresponding to a broad resonance whose width lied between 400 to 600 MeV (for references on these years see [74,75,76,96,98,99,100,101,102,103,104]). This can be checked in Fig.4. …”

Section: Poles From Unitarity and Chiral Perturbation Theorymentioning

confidence: 99%

From controversy to precision on the sigma meson: A review on the status of the non-ordinary f0(500) resonance

2016

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The existence and properties of the sigma meson have been controversial for almost six decades, despite playing a central role in the spontaneous chiral symmetry of QCD or in the nucleonnucleon attraction. This controversy has also been fed by the strong indications that it is not an ordinary quark-antiquark meson. Here we review both the recent and old experimental data and the model independent dispersive formalisms which have provided precise determinations of its mass and width, finally settling the controversy and leading to its new name: f 0 (500). We then provide a rather conservative average of the most recent and advanced dispersive determinations of its pole position √ s σ = 449 +22−16 −i(275±12). In addition, after comprehensive introductions, we will review within the modern perspective of effective theories and dispersion theory, its relation to chiral symmetry, unitarization techniques, its quark mass dependence, popular models, as well as the recent strong evidence, obtained from the QCD 1/N c expansion or Regge theory, for its non ordinary nature in terms of quarks and gluons.

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Three channel model of meson-meson scattering and scalar meson spectroscopy

Cited by 72 publications

References 30 publications

Towards resolution of the scalar meson nonet enigma

Towards resolution of the scalar meson nonet enigma

Dalitz plot studies ofD0→KS0π+

From controversy to precision on the sigma meson: A review on the status of the non-ordinary f0(500) resonance

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