ON THE MIXING OF THE SCALAR MESONS f0(1370), f0(1500) AND f0(1710)

Li, Demin; Ye, Hong; Shen, Qing

doi:10.1142/s0217732300002322

“…(In Ref. [39] this is taken one step further and promoted to a glueball-glueball-glueball coupling followed by a mixing of η and η with the 0 −+ glueball [40].) The full coupling is H ⊃ (h 2,0 + 3h 3 )G(η 0 )…”

mentioning

confidence: 99%

Scalar glueballs: Constraints from the decays intoηorη′

Frère

¹

,

Heeck

²

2015

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We study the mixing of the scalar glueball into the isosinglet mesons f0(1370), f0(1500), and f0(1710) to describe the two-body decays to pseudoscalars. We use an effective Hamiltonian and employ the two-angle mixing scheme for η and η . In this framework, we analyse existing data and look forward to new data into η and η channels. For now, the f0(1710) has the largest glueball component and a sizable branching ratio into ηη , testable at BESIII.

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“…(In Ref. [39] this is taken one step further and promoted to a glueball-glueball-glueball coupling followed by a mixing of η and η with the 0 −+ glueball [40].) The full coupling is H ⊃ (h 2,0 + 3h 3 )G(η 0 ) 2 , but we will fix h 2,0 instead of fitting it, so h 3 is indeed a free parameter for us.…”

Section: Effective Hamiltonianmentioning

confidence: 99%

Scalar glueballs: Constraints from the decays into $η$ or $η'$

Frère,

Heeck

2015

Preprint

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We study the mixing of the scalar glueball into the isosinglet mesons f0(1370), f0(1500), and f0(1710) to describe the two-body decays to pseudoscalars. We use an effective Hamiltonian and employ the two-angle mixing scheme for η and η . In this framework, we analyse existing data and look forward to new data into η and η channels. For now, the f0(1710) has the largest glueball component and a sizable branching ratio into ηη , testable at BESIII.

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“…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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0

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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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ON THE MIXING OF THE SCALAR MESONS f₀(1370), f₀(1500) AND f₀(1710)

Cited by 7 publications

References 20 publications

Scalar glueballs: Constraints from the decays intoηorη′

Scalar glueballs: Constraints from the decays intoηorη′

Scalar glueballs: Constraints from the decays into $η$ or $η'$

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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