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

Frère, Jean-Marie; Heeck, Julian

doi:10.48550/arxiv.1506.04766

Cited by 5 publications

(7 citation statements)

References 34 publications

(46 reference statements)

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“…Fluctuations of the background translate into fluctuations of the probe branes, and therefore effective interactions may be derived from the nine-dimensional worldvolume action of the latter. It consists of the Dirac-Born-Infeld (DBI) action 2 S DBI = −T 8 STr d 9 x e −φ −det(g MN + F MN ), (9) where STr denotes the symmetrized trace, and a Chern-Simons action involving the Ramond-Ramond fields C j of type-IIA string theory [24] 3…”

Section: The Kalb-ramond Field In the Witten-sakai-sugimoto Model As ...mentioning

confidence: 99%

“…Their spectrum has been studied extensively in quenched lattice QCD up to and including spin J = 6 [2][3][4], with results involving dynamical quarks becoming slowly available, too, mostly showing only moderate effects from unquenching [5]. Experimentally, however, the situation remains unclear even for the lightest (scalar) glueball state, where phenomenological models continue to be divided on which of the two isoscalar mesons f 0 (1500) and f 0 (1710) is to be considered a glueball, even though the two mesons have distinctly different decay patterns, and to which extent there is mixing with q q states [6][7][8][9]. The question of experimental candidates for the next lightest (tensor) glueball, for which lattice QCD predicts a mass about roughly 2.…”

Section: Introductionmentioning

confidence: 99%

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A broad pseudovector glueball from holographic QCD

2019

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We study the decay of a pseudovector glueball with quantum numbers J P C = 1 +− , the lightest glueball with spin different from zero or two, in the top-down holographic Witten-Sakai-Sugimoto model. This glueball is dual to the string-theoretic Kalb-Ramond tensor field, which completely fixes all its couplings by gauge invariance and D-brane anomaly inflow. The dominant decay channels are determined by a Chern-Simons-like action for the flavor branes; couplings from the Dirac-Born-Infeld action turn out to be subdominant. While the resulting width is parametrically of order N −2 c λ −1 for Nc colors and 't Hooft coupling λ, when extrapolated to Nc = 3 and with λ matched to experimental data, the prediction is that the pseudovector glueball is an extremely broad resonance.

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Section: The Kalb-ramond Field In the Witten-sakai-sugimoto Model As ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A broad pseudovector glueball from holographic QCD

2019

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“…But this is still not enough to explain η , which is a really complicated and interesting meson. According to the current view, η may have gluonium content, and should be treated as the mixing state among |q q , |ss , and |gg [6,7,15,[17][18][19].…”

Section: B η − η Mixing and Two Gluons Transition Form Factorsmentioning

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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“…The conventional picture of the hadrons based on the quark model is the baryon made of qqq and the meson q q. However, that is not the whole picture of the observed hadrons, with the development of the experiments, many resonances have been found, which may have complex structures since their nature cannot be interpreted by the conventional ways, such as tetraquarks [1], hybrids [2], and glueballs [3] for mesons, and pentaquarks and heptaquarks for baryons, or molecular states. These exotic states have drawn much attention both in theories and experiments to understand their structure and decay properties, see more details in the reviews [4][5][6][7][8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Study the molecular nature of $σ$, $f_{0}(980)$, and $a_{0}(980)$ states

Ahmed,

Xiao

2020

Preprint

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We investigate the characteristics of σ, f 0 (980), and a 0 (980) with the formalism of chiral unitary approach. With the dynamical generation of them, we make a further study of their properties by evaluating the couplings, the compositeness, the wave functions and the radii. We also research their properties in the single channel interactions, where the a 0 (980) can not be reproduced in the K K interactions with isospin I = 1 since the potential is too weak. In our results, the states of σ and f 0 (980) can be dynamically reproduced stably with varying cutoffs both in the coupled channel and the single channel cases. We find that the πη components is much important in the coupled channel interactions to dynamically reproduce the a 0 (980) state, which means that a 0 (980) state can not be a pure K K molecular state. We obtain their radii as: | r 2 | f 0 (980) = 1.80 ± 0.35 fm, | r 2 | σ = 0.68 ± 0.05 fm and | r 2 | a 0 (980) = 0.94 ± 0.09 fm. Based on our investigation results, we conclude that the f 0 (980) state is mainly a K K bound state, the σ state a resonance of ππ and the a 0 (980) state a loose K K bound state. From the results of the compositeness, they are not pure molecular states and have something non-molecular components, especially for the σ state.

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

Cited by 5 publications

References 34 publications

A broad pseudovector glueball from holographic QCD

A broad pseudovector glueball from holographic QCD

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

Study the molecular nature of $σ$, $f_{0}(980)$, and $a_{0}(980)$ states

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

Cited by 5 publications

References 34 publications

A broad pseudovector glueball from holographic QCD

A broad pseudovector glueball from holographic QCD

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

Study the molecular nature of $σ$, $f_{0}(980)$, and $a_{0}(980)$ states

Contact Info

Product

Resources

About

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