Proximity of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>1500</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>1710</mml:mn><mml:mo stretchy="false"

Fariborz, Amir H.; Azizi, Azizollah; Asrar, Abdorreza

doi:10.1103/physrevd.92.113003

Cited by 12 publications

(6 citation statements)

References 180 publications

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“…2 and 3 has been a consistent and stable trend in all our simulations, regardless of the additional conditions or filters imposed. This is somewhat in contrast with the case of other isosinglets studied in this model [f 0 (500), f 0 (980), f 0 (1500) and f 0 (1710)] for which their substructure are rather sensitive and closely correlated (see [124]).…”

Section: Global Fit IIIcontrasting

confidence: 75%

“…In addition a scalar field G that represents the effective field of a scalar glueball and is relevant to the study of isosinglet states is also added [99]. Identification of G with scalar glueball, which is discussed in detail in [124], is based on the results of various fits to experiment which show that, for example: (i) f 0 (1500) and f 0 (1710) are the only two states that contain a high content of this field; (ii) G couples strongly to pseudoscalar-pseudoscalar channels that involve η ′ ; and (iii) the mass of G is determined to be in the range of 1.5-1.8 GeV consistent with lattice QCD estimates. These observations are all consistent with identifying field G with an scalar glueball.…”

Section: Introductionmentioning

confidence: 99%

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Probing the substructure off0(1370)

2015

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Within an effective nonlinear chiral Lagrangian framework the substructure of f0 (1370) is studied. The investigation is conducted in the context of a global picture of scalar mesons in which the importance of the underlying connections among scalar mesons below and above 1 GeV is recognized and implemented. These connections are due to the mixings among various quark-antiquarks, fourquarks and glue components and play a central role in understanding the properties of scalar mesons. Iterative Monte Carlo simulations are first performed on the 14-dimensional parameter space of the model and sets of points in this parameter space (the global sets) that give an overall agreement with all experimental data on mass spectrum, various decay widths and decay ratios of all isosinglet scalar states below 2 GeV are determined. Then within each global set, subsets that give closest agreement for the properties of f0 (1370) are studied. Unlike the properties of other isosinglet states that show a range of variation within each global set, it is found that there is a clear signal for f0(1370) to be predominantly a quark-antiquark state with a substantial ss component, together with small remnants of four-quark and glue components.

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Section: Global Fit IIIcontrasting

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Probing the substructure off0(1370)

2015

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“…Similar studies have been carried out in the last years, see for instance [45][46][47][48][49][50][51][52] and references therein.…”

Section: Scalar Couplingssupporting

confidence: 71%

“…In Ref. [49] it was concluded that f 0 (1500) was mostly glueball but f 0 (1710) was also sharing a large component. Ref.…”

Section: Resultsmentioning

confidence: 99%

Scalar-involved three-point Green functions and their phenomenology

2019

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We analyse within the framework of resonance chiral theory the SA µ A ν and SV µ V ν three-point Green functions, where S, A µ and V µ are short for scalar, axial-vector and vector SU (3) hadronic currents. We construct the necessary Lagrangian such that the Green functions fulfill the asymptotic constraints, at large momenta, imposed by QCD at leading order. We study the implications of our results on the spectrum of scalars in the large-N C limit, and analyse their decays. *

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“…[2]. It has also been suggested as a scalar glueball candidate [3][4][5]. Furthermore, the scalar mesons f 0 (1370), f 0 (1500), and f 0 (1710) cannot be simultaneously accommodated in the quark model, thus they were widely investigated by different mixing schemes [6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Theoretical study of the process $D^+_s \to π^+ K^0_S K^0_S$ and the isovector partner of $f_0(1710)$

Zhu,

Li,

Wang

et al. 2022

Preprint

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We present a theoretical study of a0(1710), the isovector partner of f0(1710), in the processThe weak interaction part proceeds through the charm quark decay process: c(s) → (s + d + u)(s), while the hadronization part takes place in two mechanisms, differing in how the quarks from the weak decay combines into πK * with a quark-antiquark pair q q with the vacuum quantum numbers. In addition to the contribution from the tree diagram of the K * + → π + K 0 S , we have also considered the K * K * final-state interactions within the chiral unitary approach to generate the intermediate state a0(1710), then it decays into the final states K 0 S K 0 S . We find that the recent experimental measurements on the K 0 S K 0 S and π + K 0 S invariant mass distributions can be well reproduced, and the proposed mechanism can provide valuable information on the nature of scalar f0(1710) and its isovector partner a0(1710) resonances.

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Proximity off0(1500)andf0(1710

Cited by 12 publications

References 180 publications

Probing the substructure off0(1370)

Probing the substructure off0(1370)

Scalar-involved three-point Green functions and their phenomenology

Theoretical study of the process $D^+_s \to π^+ K^0_S K^0_S$ and the isovector partner of $f_0(1710)$

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