The glueball content of η

Zhang, Renqiang; Sun, Wei; Chen, Ying; Gong, Ming; Gui, Long-Cheng; Liu, Zhaofeng

doi:10.1016/j.physletb.2022.136960

Cited by 11 publications

(11 citation statements)

References 48 publications

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“…In Ref. [899] the authors applied the lattice QCD to study the mixing of the pseudoscalar glueball and the pseudoscalar charmonium η c . By assuming the X(2370) to be predominantly a pseudoscalar glueball, they determined the mixing angle to be 4.3 • ± 0.5 • , which raises the η c mass by about 3.9 MeV and its total width by about 7 MeV.…”

Section: Glueballmentioning

confidence: 99%

An updated review of the new hadron states

Chen¹,

Chen²,

Liu³

et al. 2022

Preprint

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The past decades witnessed the golden era of hadron physics. Many excited open heavy flavor mesons and baryons have been observed since 2017. We shall provide an updated review of the recent experimental and theoretical progresses in this active field. Besides the conventional heavy hadrons, we shall also review the recently observed open heavy flavor tetraquark states X(2900) and T + cc (3875) as well as the hidden heavy flavor multiquark states X(6900), P cs (4459) 0 , Z cs (3985) − , Z cs (4000) + , and Z cs (4220) + . We will also cover the recent progresses on the glueballs and light hybrid mesons, which are the direct manifestations of the non-Abelian SU (3) gauge interaction of the Quantum Chromodynamics in the low-energy region.

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Section: Glueballmentioning

confidence: 99%

An updated review of the new hadron states

Chen¹,

Chen²,

Liu³

et al. 2022

Preprint

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“…Initial estimates of this quantity have pointed to relatively small values in lattice studies [36][37][38] and perturbative NRQCD [39][40][41][42][43], albeit with conflicting signs. Recent lattice calculations of this splitting, either indirectly [39] or directly [8,9], also point to small-yet-positive values. In both cases the value was significantly lower, albeit at a much higher quark mass close to its physical value for the charm quark.…”

Section: B Using Quark-connected and Quark-disconnected Correlationsmentioning

confidence: 93%

“…and the role of J[t], and therefore g(λ), becomes apparent; it serves as the modulation of the contribution from each of the eigenvectors. The choice g (λ) = 1 turns S[t] into an orthogonal projector onto the range of V [t] and is the most commonly used one [4][5][6][7][8][9]. In [6] also a single gaussian profile was tested.…”

Section: Optimal Use Of Quark Distillation Profilesmentioning

confidence: 99%

Optimising creation operators for charmonium spectroscopy on the lattice

Knechtli,

Korzec,

Peardon

et al. 2022

Preprint

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Smearing the bare quantum fields in lattice calculations before applying composite hadron creation operators has a long record of substantially improving overlaps onto low-lying energy eigenstates. A technique called distillation which defines smearing for quark fields as a low-rank linear projection operator into a small vector space of smooth gauge-covariant fields has proven to be both effective and versatile in hadron spectroscopy calculations albeit with significant computational cost . In this paper, more general operators in this space of smooth fields are introduced and optimised, which enhances the performance of the method when tested on systems of heavy quark-anti-quark pairs close to the charmonium energy scale.

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“…In the data analysis procedure, we first rearrange the N conf measurements into 279 bins with each bin including 25 measurements, and then we perform the one-eliminating jackknife analysis on these data bins. For each time of jackknife re-sampling, we first extract [9,30] and [t l , t h ] γ4γ5 = [5,30], as shown in Table IV. Then we feed these parameters to ∂ t C Gγ5 (t) to determine the parameter x 1 and y 1 .…”

Section: Towards the η-Glueball Mixing A Theoretical Considerationmentioning

confidence: 99%

“…After that, we calculate the correlation functions of the η operator and the glueball operator, from which the mixing angle can be extracted. The strategy of the study is similar to that used in the η c -glueball mixing [30]. As an exploratory study, we tentatively treat the pseudoscalar glueball as a stable particle and ignore its resonance nature in the presence of light sea quarks.…”

Section: Introductionmentioning

confidence: 99%

$η$-glueball mixing from $N_f=2$ lattice QCD

Jiang¹,

Sun²,

Chen³

et al. 2022

Preprint

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We perform the first lattice study on the mixing of the isoscalar pseudoscalar meson η and the pseudoscalar glueball G in the N f = 2 QCD at the pion mass mπ ≈ 350 MeV. The η mass is determined to be mη = 714.1(5.4) MeV. Through the Witten-Veneziano relation, this value can be matched to a mass value of ∼ 935 MeV for the SU (3) counterpart of η. Based on a large gauge ensemble, the η − G mixing energy and the mixing angle are determined to be |x| = 107(14) MeV and |θ| = 3.47(46) • from the η − G correlators that are calculated using the distillation method. It is also found that mη can be correctly derived from η − ηc correlators with ηc being the pseudoscalar charmonium. We conclude that the η − G mixing is tiny and the topology induced interaction contributes most of η mass owing to the QCD UA(1) anomaly.

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The glueball content of η

Cited by 11 publications

References 48 publications

An updated review of the new hadron states

An updated review of the new hadron states

Optimising creation operators for charmonium spectroscopy on the lattice

$η$-glueball mixing from $N_f=2$ lattice QCD

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