Spectroscopy of all charm tetraquark states

Tiwari, Rohit; Rathaud, D P; Rai, A K

doi:10.48550/arxiv.2108.04017

“…The interpretation of the narrow structure X(6900) as a P -wave cccc tetraquark state was supported by Ref. [598] through the constituent quark model, and the interpretation of the broad structure as an S-wave cccc tetraquark state was supported by Refs. [599,600,601,602] based on the relativized quark model as well as QCD sum rules and Bethe-Salpeter equation.…”

Section: Compact Tetraquark Picturementioning

confidence: 89%

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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“…Fully heavy tetraquark QQ QQ system is a good platform for studying QCD and exotic states because the system has a strong symmetry in structure and avoids pollution from light quarks. Since 1975, there have been many theoretical studies of full heavy tetraquark system using potential models [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22], QCD Sum Rules [23][24][25][26][27][28][29] and other techniques [30][31][32][33]. But it is still under debate whether there exist compact bound states below di-heavy-quarkonium threshold, e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, there are different interpretations of the nature of X(6900) state, e.g. tetraquark [21,22,27,33,35,36,[44][45][46][47][48][49][50], gluonic tetracharm [51], or coupled channel effect [31,32,52]. Therefore, further study of QQ QQ system is still needed.…”

Section: Introductionmentioning

confidence: 99%

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

Wu¹,

Zuo²,

Wang³

et al. 2022

Preprint

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We study the mass spectra of QQ QQ (Q = c, b) systems in QCD sum rules with the complete next-to-leading order (NLO) contribution to the pertabative QCD part of the correlation functions. Instead of meson-meson or diquark-diquark currents, we use diagonalized currents under operator renormalization. Numerical results show that the NLO corrections are very important for the QQ QQ system, because they not only give significant contributions but also reduce parameter dependence and makes Borel platform more distinct, especially for the bb bb in the MS scheme. We find that the operator mixing induced by NLO corrections is crucial to understand the color structure of the states. We use currents that have good perturbative convergence in our phenomenological analysis. We get three J P C = 0 ++ states, with masses 6.35 +0.20 −0.17 GeV, 6.56 +0.18 −0.20 GeV and 6.95 +0.21 −0.31 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 +0.22 −0.26 GeV, which is also close to that of X(6900), and another one around 7.3 GeV but with larger uncertainties.

show abstract

“…Fully heavy tetraquark QQ QQ system is a good platform for studying QCD and exotic states because the system has a strong symmetry in structure and avoids pollution from light quarks. Since 1975, there have been many theoretical studies of fully heavy tetraquark systems using potential models [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22], QCD Sum Rules [23][24][25][26][27][28][29] and other techniques [30][31][32][33]. But it is still under debate whether there exist compact bound states below di-heavyquarkonium threshold, e.g.…”

Section: Jhep11(2022)023 1 Introductionmentioning

confidence: 99%

“…Moreover, there are different interpretations of the nature of X(6900) state, e.g. tetraquark [21,22,27,33,35,36,[44][45][46][47][48][49][50], gluonic tetracharm [51], or coupled channel effect [31,32,52]. Therefore, further study of QQ QQ system is still needed.…”

Section: Jhep11(2022)023 1 Introductionmentioning

confidence: 99%

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

Wu

¹

,

Zuo

²

,

Wang

³

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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Spectroscopy of all charm tetraquark states

Cited by 4 publications

References 42 publications

An updated review of the new hadron states

An updated review of the new hadron states

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

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

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