Analysis of the Vector and Axialvector $QQ\bar {Q}\bar {Q}$ Tetraquark States with QCD Sum Rules

Wang, Zhigang; Di, Zun-Yan

doi:10.5506/aphyspolb.50.1335

Cited by 59 publications

(10 citation statements)

References 3 publications

(3 reference statements)

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“…Concerning bbbb tetraquarks, the predicted masses are in very good agreement with Refs. [27,49,50,60], but consistently smaller by about 0.5 GeV-1.0 GeV compared to the values in Refs. [45,55,56].…”

Section: Discussion On Resultscontrasting

confidence: 46%

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Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data

Lundhammar

Ohlsson

2020

Phys. Rev. D

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We investigate a nonrelativistic model of tetraquarks, which are assumed to be compact and to consist of diquark-antidiquark pairs. We fit, for the first time, basically all currently known values for the measured masses of 45 mesons, including both charmed and bottom mesons, to the model and predict masses of tetraquarks as well as diquarks. In particular, we find masses of four axial-vector diquarks, i.e., qc, cc, qb, and bb, where q ¼ u, d, and 24 ground-state tetraquarks, including both heavy-light tetraquarks (qcqc and qbqb) and heavy tetraquarks (cccc and bbbb). In general, our results for the masses of qbqb, cccc, and bbbb are largely comparable with other reported results, whereas our results for the masses of qcqc are slightly larger than what has been found earlier. Finally, we identify some of the obtained predictions for masses of tetraquarks with masses of experimental tetraquark candidates, and especially, we find that ψð4660Þ, Z b ð10610Þ, and Z b ð10650Þ could be described by the model.

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Section: Discussion On Resultscontrasting

confidence: 46%

“…In general, the predicted masses for cccc tetraquarks are in good agreement with the values in Refs. [27,33,45,50,52,53,56,60]. However, the 1 1 S state differs by about 1 GeV in comparison to Ref.…”

Section: Discussion On Resultsmentioning

confidence: 66%

Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data

Lundhammar

Ohlsson

2020

Phys. Rev. D

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“…Theoretical studies of cccc states have a much longer history, dating indeed to a time only two years after the discovery of the J=ψ [2] and followed by a smattering of papers in the 1980s [3][4][5]. The current interest in cccc states, starting in 2011 [6,7] and particularly ramping up since 2016 [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27], emerged from the expectation of dedicated searches at the LHC.…”

Section: Introductionmentioning

confidence: 99%

“…meaning that the enhancement in the data above 7200 MeV may be a combination of some 2P and/or 2D cccc states [not forgetting the large mass offset due to κ cc from Eqs. (13) and (15)] with threshold effects in the form of rescattering of Ξ cc -Ξ cc pairs to J=ψ pairs. In addition, the cccc states in higher BO multiplets than Σ þ g (i.e., analogues to hybrid mesons) would also occur at or above the Ξ cc -Ξ cc threshold.…”

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confidence: 99%

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Simple spectrum of cc¯cc¯ states in the dynamical diquark model

Giron

Lebed

2020

Phys. Rev. D

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We develop the spectroscopy of cccc and other all-heavy tetraquark states in the dynamical diquark model. In the most minimal form of the model (e.g., each diquark appears only in the color-triplet combination; the nonorbital spin couplings connect only quarks within each diquark), the spectroscopy is extremely simple. Namely, the S-wave multiplets contain precisely three degenerate states (0 þþ , 1 þ− , 2 þþ) and the seven P-wave states satisfy an equal-spacing rule when the tensor coupling is negligible. When comparing numerically to the recent LHCb results, we find the best interpretation is assigning Xð6900Þ to the 2S multiplet, while a lower state suggested at about 6740 MeV fits well with the members of the 1P multiplet. We also predict the location of other multiplets (1S, 1D, etc.) and discuss the significance of the cc open-flavor threshold.

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NLO results with operator mixing for fully heavy tetraquarks in QCD sum rules

Zuo

Wang

et al. 2022

J. High Energ. Phys.

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We study the mass spectra of $$ \overline{Q}Q\overline{Q}Q $$ Q ¯ Q Q ¯ Q (Q = c, b) systems in QCD sum rules with the complete next-to-leading order (NLO) contribution to the perturbative QCD part of the correlation functions. Instead of meson-meson or diquark-antidiquark currents, we use diagonalized currents under operator renormalization. We find that differing from conventional mesons $$ \overline{q}q $$ q ¯ q and baryons qqq, a unique feature of the multiquark systems like $$ \overline{Q}Q\overline{Q}Q $$ Q ¯ Q Q ¯ Q is the operator mixing or color configuration mixing induced by NLO corrections, which is crucial to understand the color structure of the states. Our numerical results show that the NLO corrections are very important for the $$ \overline{Q}Q\overline{Q}Q $$ Q ¯ Q Q ¯ Q system, because they not only give significant contributions but also reduce the scheme and scale dependence and make Borel platform more distinct, especially for the $$ \overline{b}b\overline{b}b $$ b ¯ b b ¯ b in the $$ \overline{\textrm{MS}} $$ MS ¯ scheme. We use currents that have good perturbation convergence in our phenomenological analysis. With the $$ \overline{\textrm{MS}} $$ MS ¯ scheme, we get three JPC = 0++ states, with masses $$ {6.35}_{-0.17}^{+0.20} $$ 6.35 − 0.17 + 0.20 GeV, $$ {6.56}_{-0.20}^{+0.18} $$ 6.56 − 0.20 + 0.18 GeV and $$ {6.95}_{-0.35}^{+0.21} $$ 6.95 − 0.35 + 0.21 GeV, respectively. The first two seem to agree with the broad structure around 6.2 ~ 6.8 GeV measured by the LHCb collaboration in the J/ψJ/ψ spectrum, and the third seems to agree with the narrow resonance X(6900). For the 2++ states we find one with mass $$ {7.03}_{-0.26}^{+0.22} $$ 7.03 − 0.26 + 0.22 GeV, which is also close to that of X(6900), and another one around $$ {7.25}_{-0.35}^{+0.21} $$ 7.25 − 0.35 + 0.21 GeV, which has good scale dependence but slightly large scheme dependence.

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Analysis of the Vector and Axialvector $QQ\bar {Q}\bar {Q}$ Tetraquark States with QCD Sum Rules

Cited by 59 publications

References 3 publications

Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data

Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data

Simple spectrum of cc¯cc¯ states in the dynamical diquark model

NLO results with operator mixing for fully heavy tetraquarks in QCD sum rules

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