Abstract
Motivated by the recent observation of the tetraquark \( {T}_{cc}^{+} \), we investigate the magnetic dipole moments of the possible single and double strange partners, \( {T}_{QQ\overline{q}\overline{s}} \) and \( {T}_{QQ\overline{s}\overline{s}} \), with the spin-parity JP = 1+ by means of the QCD light-cone sum rules. To this end, we model these states as diquark-antidiquark states with different organizations and interpolating currents. The results of magnetic dipole moments obtained using different diquark-antidiquark structures differ from each other, considerably. The magnetic dipole moment is the leading-order response of a bound system to a soft external magnetic field. Therefore, it provides an excellent platform for investigation of the inner structures of hadrons governed by the quark-gluon dynamics of QCD.
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References
A. Esposito et al., Four-Quark Hadrons: an Updated Review, Int. J. Mod. Phys. A 30 (2015) 1530002 [arXiv:1411.5997] [INSPIRE].
A. Esposito, A. Pilloni and A.D. Polosa, Multiquark Resonances, Phys. Rept. 668 (2017) 1 [arXiv:1611.07920] [INSPIRE].
S.L. Olsen, T. Skwarnicki and D. Zieminska, Nonstandard heavy mesons and baryons: Experimental evidence, Rev. Mod. Phys. 90 (2018) 015003 [arXiv:1708.04012] [INSPIRE].
R.F. Lebed, R.E. Mitchell and E.S. Swanson, Heavy-Quark QCD Exotica, Prog. Part. Nucl. Phys. 93 (2017) 143 [arXiv:1610.04528] [INSPIRE].
M. Nielsen, F.S. Navarra and S.H. Lee, New Charmonium States in QCD Sum Rules: A Concise Review, Phys. Rept. 497 (2010) 41 [arXiv:0911.1958] [INSPIRE].
N. Brambilla et al., The XYZ states: experimental and theoretical status and perspectives, Phys. Rept. 873 (2020) 1 [arXiv:1907.07583] [INSPIRE].
S. Agaev, K. Azizi and H. Sundu, Four-quark exotic mesons, Turk. J. Phys. 44 (2020) 95 [arXiv:2004.12079] [INSPIRE].
H.-X. Chen, W. Chen, X. Liu and S.-L. Zhu, The hidden-charm pentaquark and tetraquark states, Phys. Rept. 639 (2016) 1 [arXiv:1601.02092] [INSPIRE].
A. Ali, J.S. Lange and S. Stone, Exotics: Heavy Pentaquarks and Tetraquarks, Prog. Part. Nucl. Phys. 97 (2017) 123 [arXiv:1706.00610] [INSPIRE].
F.-K. Guo et al., Hadronic molecules, Rev. Mod. Phys. 90 (2018) 015004 [Erratum ibid. 94 (2022) 029901] [arXiv:1705.00141] [INSPIRE].
Y.-R. Liu et al., Pentaquark and Tetraquark states, Prog. Part. Nucl. Phys. 107 (2019) 237 [arXiv:1903.11976] [INSPIRE].
G. Yang, J. Ping and J. Segovia, Tetra- and penta-quark structures in the constituent quark model, Symmetry 12 (2020) 1869 [arXiv:2009.00238] [INSPIRE].
X.-K. Dong, F.-K. Guo and B.-S. Zou, A survey of heavy-antiheavy hadronic molecules, Progr. Phys. 41 (2021) 65 [arXiv:2101.01021] [INSPIRE].
X.-K. Dong, F.-K. Guo and B.-S. Zou, A survey of heavy–heavy hadronic molecules, Commun. Theor. Phys. 73 (2021) 125201 [arXiv:2108.02673] [INSPIRE].
L. Meng, B. Wang, G.-J. Wang and S.-L. Zhu, Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules, arXiv:2204.08716 [INSPIRE].
H.-X. Chen et al., An updated review of the new hadron states, Rept. Prog. Phys. 86 (2023) 026201 [arXiv:2204.02649] [INSPIRE].
LHCb collaboration, Observation of an exotic narrow doubly charmed tetraquark, Nature Phys. 18 (2022) 751 [arXiv:2109.01038] [INSPIRE].
LHCb collaboration, Study of the doubly charmed tetraquark \( {T}_{cc}^{+} \), Nature Commun. 13 (2022) 3351 [arXiv:2109.01056] [INSPIRE].
M.-L. Du, W. Chen, X.-L. Chen and S.-L. Zhu, Exotic \( QQ\overline{q}\overline{q} \), \( QQ\overline{q}\overline{s} \) and \( QQ\overline{s}\overline{s} \) states, Phys. Rev. D 87 (2013) 014003 [arXiv:1209.5134] [INSPIRE].
Q. Qin, Y.-F. Shen and F.-S. Yu, Discovery potentials of double-charm tetraquarks, Chin. Phys. C 45 (2021) 103106 [arXiv:2008.08026] [INSPIRE].
A. Feijoo, W.H. Liang and E. Oset, D0D0π+ mass distribution in the production of the Tcc exotic state, Phys. Rev. D 104 (2021) 114015 [arXiv:2108.02730] [INSPIRE].
C. Deng and S.-L. Zhu, \( {T}_{cc}^{+} \) and its partners, Phys. Rev. D 105 (2022) 054015 [arXiv:2112.12472] [INSPIRE].
M.-J. Yan and M.P. Valderrama, Subleading contributions to the decay width of the \( {T}_{cc}^{+} \) tetraquark, Phys. Rev. D 105 (2022) 014007 [arXiv:2108.04785] [INSPIRE].
F.-L. Wang and X. Liu, Investigating new type of doubly charmed molecular tetraquarks composed of charmed mesons in the H and T doublets, Phys. Rev. D 104 (2021) 094030 [arXiv:2108.09925] [INSPIRE].
Y. Huang, H.Q. Zhu, L.-S. Geng and R. Wang, Production of \( {T}_{cc}^{+} \) exotic state in the \( \gamma p\to D+{T}_{cc}^{-}{\Lambda}_c^{+} \) reaction, Phys. Rev. D 104 (2021) 116008 [arXiv:2108.13028] [INSPIRE].
S.S. Agaev, K. Azizi and H. Sundu, Newly observed exotic doubly charmed meson \( {T}_{cc}^{+} \), Nucl. Phys. B 975 (2022) 115650 [arXiv:2108.00188] [INSPIRE].
X. Chen and Y. Yang, Doubly-heavy tetraquark states \( cc\overline{u}\overline{d} \) and \( bb\overline{u}\overline{d} \), Chin. Phys. C 46 (2022) 054103 [arXiv:2109.02828] [INSPIRE].
Y. Jin et al., Color and baryon number fluctuation of preconfinement system in production process and Tcc structure, Phys. Rev. D 104 (2021) 114009 [arXiv:2109.05678] [INSPIRE].
X.-Z. Ling et al., Can we understand the decay width of the \( {T}_{cc}^{+} \) state?, Phys. Lett. B 826 (2022) 136897 [arXiv:2108.00947] [INSPIRE].
Y. Hu et al., Production of doubly charmed exotic hadrons in heavy ion collisions, Phys. Rev. D 104 (2021) L111502 [arXiv:2109.07733] [INSPIRE].
K. Chen et al., Systematics of the heavy flavor hadronic molecules, Eur. Phys. J. C 82 (2022) 581 [arXiv:2109.13057] [INSPIRE].
M. Albaladejo, \( {T}_{cc}^{+} \) coupled channel analysis and predictions, Phys. Lett. B 829 (2022) 137052 [arXiv:2110.02944] [INSPIRE].
L.M. Abreu, F.S. Navarra, M. Nielsen and H.P.L. Vieira, Interactions of the doubly charmed state \( {T}_{cc}^{+} \) with a hadronic medium, Eur. Phys. J. C 82 (2022) 296 [arXiv:2110.11145] [INSPIRE].
M.-L. Du et al., Coupled-channel approach to \( {T}_{cc}^{+} \) including three-body effects, Phys. Rev. D 105 (2022) 014024 [arXiv:2110.13765] [INSPIRE].
L.R. Dai, R. Molina and E. Oset, Prediction of new Tcc states of D*D* and \( {D}_s^{\ast }{D}^{\ast } \) molecular nature, Phys. Rev. D 105 (2022) 016029 [Erratum ibid. 106 (2022) 099902] [arXiv:2110.15270] [INSPIRE].
F.-L. Wang, R. Chen and X. Liu, A new group of doubly charmed molecule with T-doublet charmed meson pair, Phys. Lett. B 835 (2022) 137502 [arXiv:2111.00208] [INSPIRE].
L. Meng, G.-J. Wang, B. Wang and S.-L. Zhu, Probing the long-range structure of the \( {T}_{cc}^{+} \) with the strong and electromagnetic decays, Phys. Rev. D 104 (2021) 051502 [arXiv:2107.14784] [INSPIRE].
S. Fleming, R. Hodges and T. Mehen, \( {T}_{cc}^{+} \) decays: Differential spectra and two-body final states, Phys. Rev. D 104 (2021) 116010 [arXiv:2109.02188] [INSPIRE].
Q. Xin and Z.-G. Wang, Analysis of the doubly-charmed tetraquark molecular states with the QCD sum rules, Eur. Phys. J. A 58 (2022) 110 [arXiv:2108.12597] [INSPIRE].
H. Ren, F. Wu and R. Zhu, Hadronic Molecule Interpretation of \( {T}_{cc}^{+} \) and Its Beauty Partners, Adv. High Energy Phys. 2022 (2022) 9103031 [arXiv:2109.02531] [INSPIRE].
R. Albuquerque, S. Narison and D. Rabetiarivony, Improved XTZ masses and mass ratios from Laplace sum rules at NLO, Nucl. Phys. A 1023 (2022) 122451 [arXiv:2201.13449] [INSPIRE].
K. Azizi and U. Özdem, Magnetic dipole moments of the \( {T}_{cc}^{+} \) and \( {Z}_V^{++} \) tetraquark states, Phys. Rev. D 104 (2021) 114002 [arXiv:2109.02390] [INSPIRE].
U. Özdem, Magnetic moments of the doubly charged axial-vector \( {T}_{cc}^{++} \) states, Phys. Rev. D 105 (2022) 054019 [arXiv:2112.10402] [INSPIRE].
Y. Kim, M. Oka and K. Suzuki, Doubly heavy tetraquarks in a chiral-diquark picture, Phys. Rev. D 105 (2022) 074021 [arXiv:2202.06520] [INSPIRE].
L.M. Abreu, H.P.L. Vieira and F.S. Navarra, Multiplicity of the doubly charmed state \( {T}_{cc}^{+} \) in heavy-ion collisions, Phys. Rev. D 105 (2022) 116029 [arXiv:2202.10882] [INSPIRE].
S.S. Agaev, K. Azizi and H. Sundu, Hadronic molecule model for the doubly charmed state \( {T}_{cc}^{+} \), JHEP 06 (2022) 057 [arXiv:2201.02788] [INSPIRE].
L.R. Dai et al., Masses and widths of the exotic molecular \( {B}_{(s)}^{\left(\ast \right)}{B}_{(s)}^{\left(\ast \right)} \) states, Phys. Rev. D 105 (2022) 074017 [Erratum ibid. 106 (2022) 099904] [arXiv:2201.04840] [INSPIRE].
L.-Y. Dai et al., Pole analysis on the doubly charmed meson in D0D0π+ mass spectrum, Phys. Rev. D 105 (2022) L051507 [arXiv:2108.06002] [INSPIRE].
M. Karliner and J.L. Rosner, Discovery of doubly-charmed Ξcc baryon implies a stable (\( bb\overline{u}\overline{d} \)) tetraquark, Phys. Rev. Lett. 119 (2017) 202001 [arXiv:1707.07666] [INSPIRE].
E.J. Eichten and C. Quigg, Heavy-quark symmetry implies stable heavy tetraquark mesons \( {Q}_i{Q}_j{\overline{q}}_k{\overline{q}}_l \), Phys. Rev. Lett. 119 (2017) 202002 [arXiv:1707.09575] [INSPIRE].
J.-B. Cheng et al., Double-heavy tetraquark states with heavy diquark-antiquark symmetry, Chin. Phys. C 45 (2021) 043102 [arXiv:2008.00737] [INSPIRE].
E. Braaten, L.-P. He and A. Mohapatra, Masses of doubly heavy tetraquarks with error bars, Phys. Rev. D 103 (2021) 016001 [arXiv:2006.08650] [INSPIRE].
Q. Meng et al., Stable double-heavy tetraquarks: spectrum and structure, Phys. Lett. B 814 (2021) 136095 [arXiv:2009.14493] [INSPIRE].
J.M. Dias et al., Relation between Tcc,bb and Xc,b from QCD, Phys. Lett. B 703 (2011) 274 [arXiv:1105.5630] [INSPIRE].
F.S. Navarra, M. Nielsen and S.H. Lee, QCD sum rules study of QQ — anti-u anti-d mesons, Phys. Lett. B 649 (2007) 166 [hep-ph/0703071] [INSPIRE].
D. Gao et al., Masses of doubly heavy tetraquark states with isospin = \( \frac{1}{2} \) and 1 and spin-parity 1+±, arXiv:2007.15213 [INSPIRE].
S.S. Agaev, K. Azizi, B. Barsbay and H. Sundu, Semileptonic and nonleptonic decays of the axial-vector tetraquark \( {T}_{bb;\overline{u}\overline{d}}^{-} \), Eur. Phys. J. A 57 (2021) 106 [arXiv:2008.02049] [INSPIRE].
S.S. Agaev, K. Azizi, B. Barsbay and H. Sundu, A family of double-beauty tetraquarks: Axial-vector state \( {T}_{bb;\overline{u}\overline{s}}^{-} \), Chin. Phys. C 45 (2021) 013105 [arXiv:2002.04553] [INSPIRE].
S.S. Agaev, K. Azizi, B. Barsbay and H. Sundu, Stable scalar tetraquark \( {T}_{bb;\overline{u}\overline{d}}^{-} \), arXiv:2001.01446 [10.1140/epja/s10050-020-00187-9] [INSPIRE].
S.S. Agaev, K. Azizi, B. Barsbay and H. Sundu, Heavy exotic scalar meson \( {T}_{bb;\overline{u}\overline{s}}^{-} \), Phys. Rev. D 101 (2020) 094026 [arXiv:1912.07656] [INSPIRE].
S.S. Agaev, K. Azizi, B. Barsbay and H. Sundu, Weak decays of the axial-vector tetraquark \( {T}_{bb;\overline{u}\overline{d}}^{-} \), Phys. Rev. D 99 (2019) 033002 [arXiv:1809.07791] [INSPIRE].
T.M. Aliev, S. Bilmis and M. Savci, Determination of the spectroscopic parameters of beauty-partners of Tcc from QCD, Phys. Rev. D 105 (2022) 074038 [arXiv:2111.01081] [INSPIRE].
P. Mohanta and S. Basak, Construction of \( bb\overline{u}\overline{d} \) tetraquark states on lattice with NRQCD bottom and HISQ up and down quarks, Phys. Rev. D 102 (2020) 094516 [arXiv:2008.11146] [INSPIRE].
H.-W. Ke and Y.-L. Shi, Study of possible molecular states of \( {D}_s^{\left(\ast \right)}{D}_s^{\left(\ast \right)} \) and \( {B}_s^{\left(\ast \right)}{B}_s^{\left(\ast \right)} \), Phys. Rev. D 105 (2022) 114019 [arXiv:2202.13380] [INSPIRE].
U. Özdem, Magnetic dipole moments of states, Chin. Phys. C 46 (2022) 113106 [arXiv:2203.07759] [INSPIRE].
S.S. Agaev, K. Azizi and H. Sundu, Strange partners of the doubly charmed tetraquark \( {T}_{cc}^{+} \), arXiv:2210.14499 [INSPIRE].
B. Wang, DD* chiral interactions with the local momentum-space regularization up to the third order and the molecular nature of \( {T}_{cc}^{+} \), arXiv:2212.08447 [INSPIRE].
Q. Qin, J.-L. Qiu and F.-S. Yu, Diagrammatic analysis of hidden- and open-charm tetraquark production in B decays, arXiv:2212.03590 [INSPIRE].
T.-W. Wu and Y.-L. Ma, Doubly heavy tetraquark multiplets as heavy antiquark-diquark symmetry partners of heavy baryons, arXiv:2211.15094 [INSPIRE].
L.M. Abreu, A note on the possible bound D(*)D(*), \( {\overline{B}}^{\left(\ast \right)}{\overline{B}}^{\left(\ast \right)} \) and \( {D}^{\left(\ast \right)}{\overline{B}}^{\left(\ast \right)} \) states, Nucl. Phys. B 985 (2022) 115994 [arXiv:2206.01166] [INSPIRE].
V.L. Chernyak and I.R. Zhitnitsky, B meson exclusive decays into baryons, Nucl. Phys. B 345 (1990) 137 [INSPIRE].
V.M. Braun and I.E. Filyanov, QCD Sum Rules in Exclusive Kinematics and Pion Wave Function, Z. Phys. C 44 (1989) 157 [INSPIRE].
I.I. Balitsky, V.M. Braun and A.V. Kolesnichenko, Radiative Decay σ+ → pγ in Quantum Chromodynamics, Nucl. Phys. B 312 (1989) 509 [INSPIRE].
R.L. Jaffe, Exotica, Phys. Rept. 409 (2005) 1 [hep-ph/0409065] [INSPIRE].
S. Weinberg, Tetraquark Mesons in Large N Quantum Chromodynamics, Phys. Rev. Lett. 110 (2013) 261601 [arXiv:1303.0342] [INSPIRE].
W. Lucha, D. Melikhov and H. Sazdjian, Tetraquarks in large-Nc QCD, Prog. Part. Nucl. Phys. 120 (2021) 103867 [arXiv:2102.02542] [INSPIRE].
Y. Kondo, O. Morimatsu and T. Nishikawa, Two-hadron-irreducible QCD sum rule for pentaquark baryon, Phys. Lett. B 611 (2005) 93 [hep-ph/0404285] [INSPIRE].
S.H. Lee, H. Kim and Y. Kwon, Parity of Θ+(1540) from QCD sum rules, Phys. Lett. B 609 (2005) 252 [hep-ph/0411104] [INSPIRE].
W. Lucha, D. Melikhov and H. Sazdjian, Tetraquark-adequate formulation of QCD sum rules, Phys. Rev. D 100 (2019) 014010 [arXiv:1901.03881] [INSPIRE].
Z.-G. Wang, Analysis of the Zc(4200) as axial-vector molecule-like state, Int. J. Mod. Phys. A 30 (2015) 1550168 [arXiv:1502.01459] [INSPIRE].
S.S. Agaev, K. Azizi, B. Barsbay and H. Sundu, The doubly charmed pseudoscalar tetraquarks \( {T}_{cc;\overline{s}\overline{s}}^{++} \) and \( {T}_{cc;\overline{d}\overline{s}}^{++} \), Nucl. Phys. B 939 (2019) 130 [arXiv:1806.04447] [INSPIRE].
H. Sundu, S.S. Agaev and K. Azizi, New charged resonance \( {Z}_c^{-} \)(4100): the spectroscopic parameters and width, Eur. Phys. J. C 79 (2019) 215 [arXiv:1812.10094] [INSPIRE].
Z.-G. Wang and X. Wang, Analysis of the strong decays of the Pc(4312) as a pentaquark molecular state with QCD sum rules, Chin. Phys. C 44 (2020) 103102 [arXiv:1907.04582] [INSPIRE].
R.M. Albuquerque, S. Narison and D. Rabetiarivony, Zc-like spectra from QCD Laplace sum rules at NLO, Phys. Rev. D 103 (2021) 074015 [arXiv:2101.07281] [INSPIRE].
R.M. Albuquerque et al., Doubly-hidden scalar heavy molecules and tetraquarks states from QCD at NLO, Phys. Rev. D 102 (2020) 094001 [arXiv:2008.01569] [INSPIRE].
Z.-G. Wang, Analysis of Zcs(3985) as the axialvector tetraquark state, Chin. Phys. C 45 (2021) 073107 [arXiv:2011.10959] [INSPIRE].
Z.-G. Wang, Two-particle contributions and nonlocal effects in the QCD sum rules for the axial vector tetraquark candidate Zc(3900), Int. J. Mod. Phys. A 35 (2020) 2050138 [arXiv:1910.09981] [INSPIRE].
Z.-G. Wang, Landau equation and QCD sum rules for the tetraquark molecular states, Phys. Rev. D 101 (2020) 074011 [arXiv:2001.04095] [INSPIRE].
P. Ball, V.M. Braun and N. Kivel, Photon distribution amplitudes in QCD, Nucl. Phys. B 649 (2003) 263 [hep-ph/0207307] [INSPIRE].
B.L. Ioffe, QCD at low energies, Prog. Part. Nucl. Phys. 56 (2006) 232 [hep-ph/0502148] [INSPIRE].
R.D.E. Matheus, S. Narison, M. Nielsen and J.M. Richard, Can the X(3872) be a 1++ four-quark state?, Phys. Rev. D 75 (2007) 014005 [hep-ph/0608297] [INSPIRE].
V. Pascalutsa and M. Vanderhaeghen, Magnetic moment of the ∆(1232)-resonance in chiral effective field theory, Phys. Rev. Lett. 94 (2005) 102003 [nucl-th/0412113] [INSPIRE].
V. Pascalutsa and M. Vanderhaeghen, Chiral effective-field theory in the ∆(1232) region: I. Pion electroproduction on the nucleon, Phys. Rev. D 73 (2006) 034003 [hep-ph/0512244] [INSPIRE].
V. Pascalutsa and M. Vanderhaeghen, Chiral effective-field theory in the ∆(1232) region. II. Radiative pion photoproduction, Phys. Rev. D 77 (2008) 014027 [arXiv:0709.4583] [INSPIRE].
V.I. Zakharov, L.A. Kondratyuk and L.A. Ponomarev, Bremsstrahlung and determination of electromagnetic parameters of particles, Yad. Fiz. 8 (1968) 783 [INSPIRE].
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Azizi, K., Özdem, U. Exploring the magnetic dipole moments of \( {T}_{QQ\overline{q}\overline{s}} \) and \( {T}_{QQ\overline{s}\overline{s}} \) states in the framework of QCD light-cone sum rules. J. High Energ. Phys. 2023, 166 (2023). https://doi.org/10.1007/JHEP03(2023)166
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DOI: https://doi.org/10.1007/JHEP03(2023)166