Abstract
We incorporate fine-structure corrections into the dynamical diquark model of multiquark exotic hadrons. These improvements include effects due to finite diquark size, spin-spin couplings within the diquarks, and most significantly, isospin-dependent couplings in the form of pionlike exchanges assumed to occur between the light quarks within the diquarks. Using a simplified two-parameter interaction Hamiltonian, we obtain fits in which the isoscalar JPC = 1++ state — identified as the X (3872) — appears naturally as the lightest exotic (including all states that are predicted by the model but have not yet been observed), while the closed-charm decays of Zc(3900) and Zc(4020) prefer J/𝜓 and hc modes, respectively, in accord with experiment. We explore implications of this model for the excited tetraquark multiplets and the pentaquarks.
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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].
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. Hosaka et al., Exotic hadrons with heavy flavors: X, Y, Z and related states, PTEP2016 (2016) 062C01 [arXiv:1603.09229] [INSPIRE].
A. Esposito, A. Pilloni and A.D. Polosa, Multiquark resonances, Phys. Rept.668 (2017) 1 [arXiv:1611.07920] [INSPIRE].
F.-K. Guo et al., Hadronic molecules, Rev. Mod. Phys.90 (2018) 015004 [arXiv:1705.00141] [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].
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].
M. Karliner, J.L. Rosner and T. Skwarnicki, Multiquark states, Ann. Rev. Nucl. Part. Sci.68 (2018) 17 [arXiv:1711.10626] [INSPIRE].
C.-Z. Yuan, The XYZ states revisited, Int. J. Mod. Phys.A 33 (2018) 1830018 [arXiv:1808.01570] [INSPIRE].
Y.-R. Liu et al., Pentaquark and tetraquark states, Prog. Part. Nucl. Phys.107 (2019) 237 [arXiv:1903.11976] [INSPIRE].
N. Brambilla et al., The XYZ states: experimental and theoretical status and perspectives, arXiv:1907.07583 [INSPIRE].
S.J. Brodsky, D.S. Hwang and R.F. Lebed, Dynamical picture for the formation and decay of the exotic XYZ mesons, Phys. Rev. Lett.113 (2014) 112001 [arXiv:1406.7281] [INSPIRE].
R.F. Lebed, The pentaquark candidates in the dynamical diquark picture, Phys. Lett.B 749 (2015) 454 [arXiv:1507.05867] [INSPIRE].
S.J. Brodsky and R.F. Lebed, QCD dynamics of tetraquark production, Phys. Rev.D 91 (2015) 114025 [arXiv:1505.00803] [INSPIRE].
R.F. Lebed, Spectroscopy of exotic hadrons formed from dynamical diquarks, Phys. Rev.D 96 (2017) 116003 [arXiv:1709.06097] [INSPIRE].
M. Born and R. Oppenheimer, Zür Quantentheorie der Molekeln, Ann. Phys.389 (1927) 457.
Hadron Spectrum collaboration, Excited and exotic charmonium spectroscopy from lattice QCD, JHEP07 (2012) 126 [arXiv:1204.5425] [INSPIRE].
J.F. Giron, R.F. Lebed and C.T. Peterson, The dynamical diquark model: first numerical results, JHEP05 (2019) 061 [arXiv:1903.04551] [INSPIRE].
K.J. Juge, J. Kuti and C. Morningstar, Fine structure of the QCD string spectrum, Phys. Rev. Lett.90 (2003) 161601 [hep-lat/0207004] [INSPIRE].
S. Capitani et al., Precision computation of hybrid static potentials in SU(3) lattice gauge theory, Phys. Rev.D 99 (2019) 034502 [arXiv:1811.11046] [INSPIRE].
L. Maiani, F. Piccinini, A.D. Polosa and V. Riquer, The Z (4430) and a new paradigm for spin interactions in tetraquarks, Phys. Rev.D 89 (2014) 114010 [arXiv:1405.1551] [INSPIRE].
S.K. Choi et al., Bounds on the width, mass difference and other properties of X (3872) → π+π−J/𝜓 decays, Phys. Rev.D 84 (2011) 052004 [arXiv:1107.0163] [INSPIRE].
L. Ya. Glozman and D.O. Riska, The spectrum of the nucleons and the strange hyperons and chiral dynamics, Phys. Rept.268 (1996) 263 [hep-ph/9505422] [INSPIRE].
M.G. Alford, K. Rajagopal and F. Wilczek, Color flavor locking and chiral symmetry breaking in high density QCD, Nucl. Phys.B 537 (1999) 443 [hep-ph/9804403] [INSPIRE].
LHCb collaboration, Near-threshold D \( \overline{D} \)spectroscopy and observation of a new charmonium state, JHEP07 (2019) 035 [arXiv:1903.12240] [INSPIRE].
Belle collaboration, Observation of an alternative χc0 (2P) candidate in e+ e− → J/𝜓D \( \overline{D} \), Phys. Rev.D 95 (2017) 112003 [arXiv:1704.01872] [INSPIRE].
M.B. Voloshin, Deciphering the XYZ states, in the proceedings of the 17thConference on Flavor Physics and CP-violation (FPCP 2019), May 6–10, Victoria, Canada (2019), arXiv:1905.13156 [INSPIRE].
L. Maiani, A.D. Polosa and V. Riquer, Hydrogen bond of QCD, Phys. Rev.D 100 (2019) 014002 [arXiv:1903.10253] [INSPIRE].
S. Dubynskiy and M.B. Voloshin, Hadro-charmonium, Phys. Lett.B 666 (2008) 344 [arXiv:0803.2224] [INSPIRE].
M. Berwein, N. Brambilla, J. Tarrús Castellà and A. Vairo, Quarkonium hybrids with nonrelativistic effective field theories, Phys. Rev.D 92 (2015) 114019 [arXiv:1510.04299] [INSPIRE].
http://www.andrew.cmu.edu/user/cmorning/static_potentials/SU3_4D/greet.html
N. Kemmer, Nature of the nuclear field, Nature141 (1938) 116.
N. Kemmer, Quantum theory of Einstein-Bose particles and nuclear interaction, Proc. Roy. Soc.A 166 (1938) 127.
M. Taketani, S. Nakamura and M. Sasaki, On the method of the theory of nuclear forces, Prog. Theor. Phys.6 (1951) 581.
Particle Data Group collaboration, Review of particle physics, Phys. Rev.D 98 (2018) 030001 [INSPIRE].
L. Maiani, F. Piccinini, A.D. Polosa and V. Riquer, Diquark-antidiquarks with hidden or open charm and the nature of X(3872), Phys. Rev.D 71 (2005) 014028 [hep-ph/0412098] [INSPIRE].
M. Cleven et al., Employing spin symmetry to disentangle different models for the XYZ states, Phys. Rev.D 92 (2015) 014005 [arXiv:1505.01771] [INSPIRE].
BESIII collaboration, Observation of the decay X (3872) → π0χc1 (1P ), Phys. Rev. Lett.122 (2019) 202001 [arXiv:1901.03992] [INSPIRE].
BESIII collaboration, Study of e+e−→ π+π−π0ηcand evidence for Zc (3900)±decaying into ρ±ηc, Phys. Rev.D 100 (2019) 111102 [arXiv:1906.00831] [INSPIRE].
BESIII collaboration, Measurement of e+e−→ π+π− 𝜓(3686) from 4.008 to 4.600 GeV and observation of a charged structure in the π± 𝜓(3686) mass spectrum, Phys. Rev.D 96 (2017) 032004 [arXiv:1703.08787] [INSPIRE].
BESIII collaboration, Measurement of e+e−→ π0π0 𝜓(3686) at \( \sqrt{s} \)from 4.009 to 4.600 GeV and observation of a neutral charmoniumlike structure, Phys. Rev.D 97 (2018) 052001 [arXiv:1710.10740] [INSPIRE].
S.L. Olsen, Comment on the X (3915) nonstandard hadron candidate, EPJ Web Conf.212 (2019) 02009 [arXiv:1904.06130] [INSPIRE].
R.F. Lebed and A.D. Polosa, χc0 (3915) as the lightest c \( \overline{c} \)s \( \overline{s} \)state, Phys. Rev.D 93 (2016) 094024 [arXiv:1602.08421] [INSPIRE].
BESIII collaboration, Study of e+e−→ γωJ/𝜓 and Observation of X (3872) → ωJ/𝜓, Phys. Rev. Lett.122 (2019) 232002 [arXiv:1903.04695] [INSPIRE].
N. Brambilla et al., Spin structure of heavy-quark hybrids, Phys. Rev.D 99 (2019) 014017 [arXiv:1805.07713] [INSPIRE].
R. Zhu and C.-F. Qiao, Pentaquark states in a diquark–triquark model, Phys. Lett.B 756 (2016) 259 [arXiv:1510.08693] [INSPIRE].
A. Ali et al., Mass spectrum of the hidden-charm pentaquarks in the compact diquark model, JHEP10 (2019) 256 [arXiv:1907.06507] [INSPIRE].
F.-K. Guo, U.-G. Meissner, W. Wang and Z. Yang, Production of the bottom analogs and the spin partner of the X (3872) at hadron colliders, Eur. Phys. J.C 74 (2014) 3063 [arXiv:1402.6236] [INSPIRE].
M. Karliner and J.L. Rosner, X (3872), Xband the χb1 (3P ) state, Phys. Rev.D 91 (2015) 014014 [arXiv:1410.7729] [INSPIRE].
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Giron, J.F., Lebed, R.F. & Peterson, C.T. The dynamical diquark model: fine structure and isospin. J. High Energ. Phys. 2020, 124 (2020). https://doi.org/10.1007/JHEP01(2020)124
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DOI: https://doi.org/10.1007/JHEP01(2020)124