Exotic glueball 
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 states in QCD sum rules

Pimikov, A. V.; Lee, Hee-Jung; Kochelev, N.I.; Zhang, Pengming; Khandramai, Viachaslau

doi:10.1103/physrevd.96.114024

Cited by 23 publications

(3 citation statements)

References 53 publications

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“…The η − -like 0 −− glueball has been a subject of contemption among QCD sum rule practitionners with Pimikov et al [46] placing it at an unassailable 7 ± 1 GeV while Qiao and Tang [47] put it at 3.8 ± 0.1, in line with other three-gluon states [48].…”

Section: Employing Exotic Quantum Numbersmentioning

confidence: 99%

Glueballs as the Ithaca of meson spectroscopy

Llanes-Estrada

2021

Eur. Phys. J. Spec. Top.

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This compact review about gluonium focuses on a slate of theoretical efforts; among the many standing works, I have selected several that are meant to assist in the identification, among ordinary mesons, of the few Yang-Mills glueball configurations that populate the energy region below 3 GeV. This includes J/ψ radiative and vectormeson decays, studies of scalar meson mixing, of high-energy cross sections via the Pomeron and the odderon, glueball decays, etc. The weight of accumulated evidence seems to support the f0(1710) as having a large (and the largest) glueball component among the scalars, although no single observable by itself is conclusive. Further tests would be welcome, such as exclusive fJ production at asymptotically high s and t. No clear experimental candidates for the pseudoscalar or tensor glueball stand out yet, and continuing investigations trying to sort them out will certainly teach us much more about mesons.

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Section: Employing Exotic Quantum Numbersmentioning

confidence: 99%

Glueballs as the Ithaca of meson spectroscopy

Llanes-Estrada

2021

Eur. Phys. J. Spec. Top.

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“…In other words, they are exotic quantum numbers in the quark model. However, these exotic quantum numbers can be reached in other configurations such as hybrids [3][4][5][6][7], glueballs [8,9] and tetraquarks, which are not forbidden by QCD itself. Tetraquarks (qqqq) are bound states of diquarks (qq) and antidiquarks (qq).…”

Section: Introductionmentioning

confidence: 99%

Exotic tetraquark states with JPC=0+−

Huang

Zhang

et al. 2019

Phys. Rev. D

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We use the Laplace/Borel sum rules (LSR) and the finite energy/local duality sum rules (FESR) to investigate the non-strange udūd and hidden-strange usūs tetraquark states with exotic quantum numbers J PC = 0 +− . We systematically construct all eight possible tetraquark currents in this channel without covariant derivative operator. Our analyses show that the udūd systems have good behaviour of sum rule stability and expansion series convergence in both the LSR and FESR analyses, while the LSR for the usūs states do not associate with convergent OPE series in the stability regions and only the FESR can provide valid results. We give the mass predictions 1.43 ± 0.09 GeV and 1.54 ± 0.12 GeV for the udūd and usūs tetraquark states, respectively. Our results indicate that the 0 +− isovector usūs tetraquark may only decay via weak interaction mechanism, e.g. X usūs → Kππ, since its strong decays are forbidden by kinematics and the symmetry constraints on the exotic quantum numbers. It is predicted to be very narrow, if it does exist. The 0 +− isoscalar usūs tetraquark is also predicted to be not very wide because its dominate decay mode X usūs → φππ is in P-wave. FIG. 3: (a) usūs four quark state mass versus τ in LSR obtained using J 1 (black continuous) and J 1 considering violation of factorization(blue dotted-dashed); (b) the same (a) but for mass versus s 0 .We finally give the mass of the hidden-strange 0 +− tetraquark to be M usūs = 1.54 ± 0.12 GeV ,

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“…Theoretically, there are several approaches in studying glueballs. One can mention phenomenological models mimicking certain nonperturbative QCD aspects, such as the flux tube model [3,4], constituent models [1,[5][6][7][8][9], holographic approaches [10][11][12], approaches based on QCD Sum Rules [13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Analytical properties of the gluon propagator from truncated Dyson-Schwinger equation in complex Euclidean space

Kaptari¹,

Kaempfer²,

Zhang³

2018

Preprint

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We suggest a framework based on the rainbow approximation with effective parameters adjusted to lattice data. The analytic structure of the gluon and ghost propagators of QCD in Landau gauge is analyzed by means of numerical solutions of the coupled system of truncated Dyson-Schwinger equations. We find that the gluon and ghost dressing functions are singular in complex Euclidean space with singularities as isolated pairwise conjugated poles. These poles hamper solving numerically the Bethe-Salpeter equation for glueballs as bound states of two interacting dressed gluons. Nevertheless, we argue that, by knowing the position of the poles and their residues, a reliable algorithm for numerical solving the Bethe-Salpeter equation can be established.

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Exotic glueball 0±− states in QCD sum rules

Cited by 23 publications

References 53 publications

Glueballs as the Ithaca of meson spectroscopy

Glueballs as the Ithaca of meson spectroscopy

Exotic tetraquark states with JPC=0+−

Analytical properties of the gluon propagator from truncated Dyson-Schwinger equation in complex Euclidean space

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