On the nature of the isoscalar resonances in the $$K\bar K\pi $$ system below 1.6GeV

Turnau, J.

doi:10.1007/bf01558045

Cited by 3 publications

(2 citation statements)

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“…Generally speaking, the mixing of the isoscalar states of a meson nonet results from some extra interactions which not only cause the breaking of SU(3) flavor symmetry but also lead to the transition between quarkonia [1,9,10,16,17]. As pointed out by Ref.…”

Section: Discussionmentioning

confidence: 99%

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On the Mass Relation of a Meson Nonet

Shen

2002

Mod. Phys. Lett. A

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It is pointed out that the omission of the effects of the transition between quarkonia or the assumption that the transition between quarkonia is flavor-independent would result in the inconsistent results for the pseudoscalar meson nonet. It is emphasized that the mass relation of the non-ideal mixing meson nonets should incorporate the effects of the flavor-dependent transition between quarkonia. The new mass relations of a meson nonet are presented.

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Section: Discussionmentioning

confidence: 99%

“…where m N and m S are the masses of the bare states N and S, respectively; A N N , A SS and A SN are the transition amplitudes of N ↔ N , S ↔ S and N ↔ S, respectively. If the transition between quarkonia is flavor-dependent [6,7,8], A N N , A SS and A SN usually are parameterized as [5,9,10]…”

Section: Introductionmentioning

confidence: 99%

On the Mass Relation of a Meson Nonet

Shen

2002

Mod. Phys. Lett. A

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Generalized Schwinger mass formula

1999

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We generalize Schwinger's original mass formula to the case of an additional isosinglet mixing with the nonet mesons. We then make further generalization to either (i) an arbitrary number of additional isosinglets mixing with nonet mesons, or (ii) an arbitrary number of mesons mixing with an additional isosinglet. In the former case, we present an explicit relation, while in the latter case, we show by numerical example that the new mass formula is only weakly affected by the inclusion of additional mesons, and hence holds with good accuracy for each of the 3 × 3 mass sub-matrices.

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MESON MIXING AND THE MASS OF THE ISODOUBLET OF 2 ¹S₀ NONET

Yao

et al. 2003

Mod. Phys. Lett. A

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Based on the mass relation derived under the assumption that for the almost ideally mixing meson nonets, the corrections deduced by the flavor-dependent quarkonia transition can be ignored, the mass of the isodoublet of the 2 1 S 0 nonet is predicted to be 1391.8 ± 67.7 MeV. The quarkonia content of isoscalar states of the 2 1 S 0 nonet, i.e. η(1295) and η(1475), is given, and some predictions on the decays of the two isoscalar state are presented. These predictions can be tested in Beijing Electron Positron Collider/Bejing Spectrometers (BEPC/BES) with 58 million J/ψ events in the near future.

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On the nature of the isoscalar resonances in the $$K\bar K\pi $$ system below 1.6GeV

Cited by 3 publications

References 28 publications

On the Mass Relation of a Meson Nonet

On the Mass Relation of a Meson Nonet

Generalized Schwinger mass formula

MESON MIXING AND THE MASS OF THE ISODOUBLET OF 2 ¹S₀ NONET

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On the nature of the isoscalar resonances in the $$K\bar K\pi $$ system below 1.6GeV

Cited by 3 publications

References 28 publications

On the Mass Relation of a Meson Nonet

On the Mass Relation of a Meson Nonet

Generalized Schwinger mass formula

MESON MIXING AND THE MASS OF THE ISODOUBLET OF 2 1S0 NONET

Contact Info

Product

Resources

About

MESON MIXING AND THE MASS OF THE ISODOUBLET OF 2 ¹S₀ NONET