Annihilation, glueball and flavor mixing effects in pseudoscalar mesons

Carvalho, Wagner; Antunes, A. C. B.; Castro, Antonio S. de

doi:10.1007/s100520050388

Cited by 6 publications

(18 citation statements)

References 16 publications

(34 reference statements)

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“…In the study of [37] it has been found that η(1295) is most likely (ūu +dd)/ √ 2, while η(1490) is almost puress state. Therefore, we might expect the presence of η(1490) in the diagram A 1−2 .…”

Section: The Modelmentioning

confidence: 99%

B−→φφK−decay rate withφφ
Fajfer
¹
,
Pham
²
,
Prapotnik
³

2004
Phys. Rev. D
11
0
13
2
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We investigate the decay mechanism in the B − → φφK − decay with the φφ invariant mass below the charm threshold and in the neighborhood of the η c invariant mass region. Our approach is based on the use of factorization model and the knowledge of matrix elements of the weak currents. For the B meson weak transition we apply form factor formalism, while for the light mesons we use effective weak and strong Lagrangians. We find that the dominant contributions to the branching ratio come from the η, η ′ and η(1490)) pole terms of the penguin operators in the decay chains B − → η(η ′ , η(1490))K − → φφK − . Our prediction for the branching ratio is in agreement with the Belle's result. I. INTRODUCTIONIt is a very fruitful era in B meson physics. A lot of experimental data on B meson decays is coming from the B meson factories. Many of their results are still not explained. Recently, Belle collaboration has announced the observation of the BR(B ± → φφK ± ) = (2.6for a φφ invariant mass below 2.85 GeV. This is the first of the three-body B decays with two vector mesons and one pseudoscalar meson in the final state that has been observed. The B meson decays into three pseudoscalar mesons have been studied [2,3] within heavy quark symmetry accompanied by chiral symmetry. One might explain the observed rates using heavy quark symmetry for the strong vertices, while for the weak transition we rely on the existing knowledge of the form factors [2]. The three-body decay with two vector meson states and one pseudoscalar is much more difficult to approach.The additional insight on the decay mechanism might come from the analysis of the B meson two-body decays. Particularly interesting are the decaysThey have been extensively studied using different existing techniques: the naive factorization [4,5,6], the QCD factorization [7] and the SU(3) symmetry [8]. Each of these decay modes is rather difficult to explain theoretically. The decays B ± → φK ± and B ± → K * ± φ might have significant annihilation contribution [4, 6, 9], but it is not simple to have a consistent treatment of it. There is an interesting proposal [6] in which the angular distributions of the final outgoing particles can be used to estimate the magnitude of annihilation contribution to the amplitude. However, we have to wait for the new experimental data to extract the size of the annihilation contribution. The B ± → η(η ′ )K ± decay rate has not been easy to explain. It accounts for the wellknown problem of the η − η ′ mixing [10,11] as can be seen from a variety of approaches used for 4,12,13,14]. In the B ± → η(η ′ )K ± decay mode, it seems that the annihilation contribution is not very significant [4,13].One has to expect that the above described difficulties in these decay modes might appear in the three-body decay we discuss. Based on the current knowledge of twobody transitions, we build a simple model which might clarify the role of the non-charm contributions in the BR(B ± → φφK ± ) decay. In our study of the B ± → φφK ± decay mechanism, we f...

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Section: The Modelmentioning

confidence: 99%

B−→φφK−decay rate withφφ
Fajfer
¹
,
Pham
²
,
Prapotnik
³

2004
Phys. Rev. D
11
0
13
2
View full text Add to dashboard Cite

show abstract

“…The theoretical and experimental results are compared in Table 1. These results show that the quarkonium-gluonium mixing model, which works well for scalar isosinglet mesons [10], is not compatible with the constraints coming from decays concerning the axial and tensor isosinglet mesons considered in this work.…”

Section: Discussionmentioning

confidence: 51%

“…In the pseudoscalar sector [10] the value of m G was limited to the interval between the masses of the pseudoscalar mesons η and η ′ , in order to keep the mass matrix Hermitian, because outside this interval Λ g becomes a complex number. For a given value of m G the parameter ε is determined by the minimum of m s /m u , consistent with the usual values in the nonrelativistic constituent quark models, which are in the range 1.3 − 1.8.…”

Section: The Mass Matrix Formalismmentioning

confidence: 99%

“…The flavor-dependent annihilation amplitudes and binding energies are the responsible mechanisms for the quarkonium-gluonium mixing. The properties of the three lowest energy states of the pseudoscalar isosinglet mesons η(547), η ′ (958) and η ′′ (1410) are well described by a model based on the assumption that these states are mixtures of the light quarks, strange quarks and a glueball [10].…”

Section: Introductionmentioning

confidence: 99%

“…In the present paper the candidates to exotics f 1 (1420) and f 2 (1640), or f 2 (1710), are supposed to be components of quarkonium-gluonium mixing schemes similar to that previously applied to the pseudoscalar mesons [10]. The same mixing scheme is not applied to the scalar states because only the assignment for the scalar isodoublet is well-established.…”

Section: Introductionmentioning

confidence: 99%

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Absence of gluonic components in axial and tensor mesons

2000

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A quarkonium-gluonium mixing scheme previously developed to describe the characteristic of the pseudoscalar mesons is applied to axial and tensor mesons. The parameters of the model are determined by fitting the eigenvalues of a mass matrix. The corresponding eigenvectors give the proportion of light quarks, strange quarks and glueball in each meson. However the predictions of the model for branching ratios and electromagnetic decays are incompatible with the experimental results. These results suggest the absence of gluonic components in the states of axial and tensor isosinglet mesons analyzed here. *

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SU(3) mixing for excited mesons

Carvalho

Castro

Antunes

2002

J. Phys. A: Math. Gen.

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Annihilation, glueball and flavor mixing effects in pseudoscalar mesons

Cited by 6 publications

References 16 publications

B−→φφK−decay rate withφφ
Fajfer
¹
,
Pham
²
,
Prapotnik
³

2004
Phys. Rev. D
11
0
13
2
View full text Add to dashboard Cite

B−→φφK−decay rate withφφ
Fajfer
¹
,
Pham
²
,
Prapotnik
³

2004
Phys. Rev. D
11
0
13
2
View full text Add to dashboard Cite

Absence of gluonic components in axial and tensor mesons

SU(3) mixing for excited mesons

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Annihilation, glueball and flavor mixing effects in pseudoscalar mesons

Cited by 6 publications

References 16 publications

B−→φφK−decay rate withφφFajfer1, Pham2, Prapotnik3 2004Phys. Rev. D110132View full textAdd to dashboardCite

B−→φφK−decay rate withφφFajfer1, Pham2, Prapotnik3 2004Phys. Rev. D110132View full textAdd to dashboardCite

Absence of gluonic components in axial and tensor mesons

SU(3) mixing for excited mesons

Contact Info

Product

Resources

About

B−→φφK−decay rate withφφ
Fajfer
¹
,
Pham
²
,
Prapotnik
³

2004
Phys. Rev. D
11
0
13
2
View full text Add to dashboard Cite

B−→φφK−decay rate withφφ
Fajfer
¹
,
Pham
²
,
Prapotnik
³

2004
Phys. Rev. D
11
0
13
2
View full text Add to dashboard Cite