Two schemes of????-mixing

Kisselev, A. V.; Petrov, V.

doi:10.1007/bf01553019

Cited by 36 publications

(45 citation statements)

References 18 publications

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“…The value of f 8 =f obtained in this work is smaller than that obtained with Chiral Perturbation Theory at nextto-leading order [4] and some phenomenological analyses [6], but is larger than the result reported in Ref. [5]. We note that the Chiral Perturbation Theory result may be alerted by higher-order corrections.…”

contrasting

confidence: 80%

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Determination of theη-η′mixing angle

Cao

2012

Phys. Rev. D

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contrasting

confidence: 80%

“…There are a lot of studies on this subject using different methods and a number of different processes, including various decay processes involving the light pseudoscalar mesons [1][2][3][4][5][6].…”

mentioning

confidence: 99%

Determination of theη-η′mixing angle

Cao

2012

Phys. Rev. D

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“…The resulting pattern is similar to the two-angle mixing that occurs for the couplings (decay constants) for the η-η ′ system in the singlet-octet basis [50], and result in an effective mixing angle of φ ≈ 54…”

Section: Discussionmentioning

confidence: 52%

Near-maximal mixing of scalar gluonium and quark mesons: A Gaussian sum-rule analysis

Harnett¹,

Kleiv²,

Moats³

et al. 2011

Nuclear Physics A

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Gaussian QCD sum-rules are ideally suited to the study of mixed states of gluonium (glueballs) and quark (qq) mesons because of their capability to resolve widely-separated states of comparable strength. The analysis of the Gaussian QCD sum-rules (GSRs) for all possible two-point correlation functions of gluonic and non-strange (I = 0) quark scalar (J P C = 0 ++ ) currents is discussed. For the non-diagonal sum-rule of gluonic and qq currents we show that perturbative and gluon condensate contributions are chirally suppressed compared to non-perturbative effects of the quark condensate, mixed condensate, and instantons, implying that the mixing of quark mesons and gluonium is of non-perturbative origin. The independent predictions of the masses and relative coupling strengths from the non-diagonal and the two diagonal GSRs are remarkably consistent with a scenario of two states with masses of approximately 1 GeV and 1.4 GeV that couple to significant mixtures of quark and gluonic currents. The mixing is nearly maximal with the heavier mixed state having a slightly larger coupling to gluonic currents than the lighter state.

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“…According to previous studies, there are two equally schemes to describe the η − η mixing: the flavor octet and singlet bases, and the quark-flavor bases [14][15][16]. In the quark-flavor scheme, η and η can be treated as the mixing states between |qq and |ss .…”

Section: Factorization Formulae a Nrqcd Ldmes And Covariant Projmentioning

confidence: 99%

Radiative hc/b decays to η or η′
Zhu
¹
,
Dai
²

2016
Phys. Rev. D
17
1
20
0
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Motivated by recent measurements of the radiative decay rates of the P -wave spin singlet charmonium hc to the light meson η or η by the BESIII Collaboration, we investigate the decay rates of these channels at order αα 4 s . The photon is radiated mainly from charm quark pairs in the lowest order Feynman diagrams, since the diagrams where a photon radiated from light quarks are suppressed by αs or the relative charm quark velocity v, due to Charge parity conservation. The form factors of two gluons to η or η are employed, which are the major mechanism for η and η productions. η(η ) is treated as a light cone object when we consider that the parent charmonium mass is much heavier than that of the final light meson. We obtain the branching ratio B(hc → γη ) = (1.94in the nonrelativistic QCD approach, which is in agreement with the BESIII measurement. The prediction of the branching ratio of hc → γη is also within the range of experimental error after including the larger uncertainty of the total decay width Γ hc . The applications of these formulae to the radiative decays to η(η ) of the P -wave spin singlet bottomonium h b (nP ) are presented. These studies will shed some light on the η − η mixing effects, the flavor SU(3) symmetry breaking, as well as the nonperturbative dynamics of charmonium and bottomonium.

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Two schemes of????-mixing

Cited by 36 publications

References 18 publications

Determination of theη-η′mixing angle

Determination of theη-η′mixing angle

Near-maximal mixing of scalar gluonium and quark mesons: A Gaussian sum-rule analysis

Radiative hc/b decays to η or η′
Zhu
¹
,
Dai
²

2016
Phys. Rev. D
17
1
20
0
View full text Add to dashboard Cite

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Two schemes of????-mixing

Cited by 36 publications

References 18 publications

Determination of theη-η′mixing angle

Determination of theη-η′mixing angle

Near-maximal mixing of scalar gluonium and quark mesons: A Gaussian sum-rule analysis

Radiative hc/b decays to η or η′Zhu1, Dai2 2016Phys. Rev. D171200View full textAdd to dashboardCite

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Radiative hc/b decays to η or η′
Zhu
¹
,
Dai
²

2016
Phys. Rev. D
17
1
20
0
View full text Add to dashboard Cite