The non-relativistic treatment of heavy tetraquark masses in the logarithmic quark potential
DOI:
https://doi.org/10.31349/RevMexFis.68.060801Keywords:
heavy tetraquarks, Non-Relativistic modelsAbstract
In the non-relativistic quark model, the interaction potential for the tetraquark is proposed which involves the logarithmic potential, linear potential, harmonic potential, and spin-spin interaction potential. Analytically, the non-relativistic Bethe-Salpeter equation is solved, with diquark-antidiquark congurations taken into account. The work iscompared to other recent works. Our results of the heavy tetraquark may provide useful information for future experimental data.
References
M. Abu-Shady, Chiral Logarithmic Quark Model of N and ∆ with an A-term in the Mean-Field Approximation, Int. J. Mod. Phys. 26 (2011) 235, https://doi.org/10.1142/S0217751X11051469
M. Abu-Shady, Effect of Logarithmic Mesonic Potential on Nucleon Properties, Mod. Phys. Lett. A 24 (2009) 1617, https://doi.org/10.1142/S0217732309030278
M. Abu-Shady, The Effect of Finite Temperature on the Nucleon Properties in the Extended Linear Sigma Model, Int. J. Mod. Phys. E 21 (2012) 1250061, https://doi.org/10.1142/S0218301312500619
M. Abu-Shady, Nucleon Properties Below the Critical Point Temperature, Int. J. Theor. Phys. 50 (2011) 1372, https://doi.org/10.1007/s10773-010-0646-1
M. Abu-Shady and E. M. Khokha, Heavy-Light Mesons in the Nonrelativistic Quark Model Using Laplace Transformation Method, Adv. High Energy Phys. 2018 (2018) 7032041, https://doi.org/10.1155/2018/7032041
M. Abu-Shady and Sh. Y. Ezz-Alarab, Trigonomeric RosenMorse Potential as a Quark-Antiquark Interaction Potential for Meson Properties in the Nonrelativistic Quark Model Using EAIM, Few Body Syst. 60 (2019) 66, https://doi.org/10.1007/s00601-019-1531-y
M. Gell-Mann, A schematic model of baryons and mesons, Phys. Lett. 8 (1964) 214, https://doi.org/10.1016/S0031-9163(64)92001-3
R. L. Jaffe, Exotica, Phys. Rep. 409 (2005) 1, https://doi.org/10.1016/j.physrep.2004.11.005
M. Yu. Barabanov et al., Diquark correlations in hadron physics: Origin, impact and evidence, Prog. Part. Nucl. Phys. 116 (2021) 103835, https://doi.org/10.1016/j.ppnp.2020.103835
M. Tanabashi et al., (Particle Data Group), Review of Particle Physics, Phys. Rev. D 98 (2018) 030001, https://doi.org/10.1103/PhysRevD.98.030001
P. Colangelo, F. De Fazio, F. Giannuzzi, and S. Nicotri, New meson spectroscopy with open charm and beauty, Phys. Rev. D 86 (2012) 054024, https://doi.org/10.1103/PhysRevD.86.054024
A. Ali, J. S. Lange, and S. Stone, Exotics: Heavy pentaquarks and tetraquarks, Prog. Part. Nucl. Phys. 97 (2017) 123, https://doi.org/10.1016/j.ppnp.2017.08.003
R. J. Jaffe, Multiquark hadrons. I. Phenomenology of Q 2Q¯2 mesons, Phys. Rev. D 15 (1977) 267, https://doi.org/10.1103/PhysRevD.15.267
R. J. Jaffe, Multiquark hadrons. II. Methods, Phys. Rev. D 15 (1977) 281, https://doi.org/10.1103/PhysRevD.15.281
J.-P. Ader, J.-M. Richard, and P. Taxil, Do narrow heavy multiquark states exist?, Phys. Rev. D 25 (1982) 2370, https://doi.org/10.1103/PhysRevD.25.2370
R. Aaij et al. (LHCb Collaboration), Observation of structure in the J/ψ- pair mass spectrum, Sci. Bull. 65 (2020) 1983, https://doi.org/10.1016/j.scib.2020.08.032
V. R. Debastiani and F. S. Navarra, A non-relativistic for the [cc][c¯c¯] tetraquark, Chin. Phys. C 43 (2019) 013105, https://doi.org/10.1088/1674-1137/43/1/013105
B.-C. Yang, L. Tang, and C.-F. Qiao, Scalar fully-heavy tetraquark states QQ0Q¯Q¯0 in QCD sum rules, Eur. Phys. J. C 81 (2021) 324, https://doi.org/10.1140/epjc/s10052-021-09096-7
B.-D. Wan and C.-F. Qiao, Gluonic tetracharm configuration of X(6900), Phys. Lett. B 817 (2021) 136339, https://doi.org/10.1016/j.physletb.2021.136339
C. Gong, M.-C. Du, Q. Zhao, X.-H. Zhong, and B. Zhou, Nature of X(6900) and its production mechanism at LHCb, Phys. Lett. B 824 (2022) 136794, https://doi.org/10.1016/j.physletb.2021.136794
J.-W. Zhu, X.-D. Guo, R.-Y. Zhang, W.-G. Ma, and X.- Q. Li, A possible interpretation for X(6900) observed in four-muon final state by LHCb - A light Higgs-like boson?, arXiv:2011.07799.
S. Durgut, Search for Exotic Mesons at CMS (2018). https://meetings.aps.org./Meenting/APR18/Session/U09.6
R. Aaij et al. (LHCb Collaboration), Search for beautiful tetraquarks in the Υ(1S)µ +µ − invariant-mass spectrum, J. High Energy Phys. 2018 (2018) 86, https://doi.org/10.1007/JHEP10(2018)086
L. Heller and J. A. Tjon, Bound states of heavy Q 2Q¯2 systems, Phys. Rev. D 32 (1985) 755, https://doi.org/10.1103/PhysRevD.32.755
A. V. Berezhnoy, A. V. Luchinsky, and A. A. Novoselov, Heavy tetraquarks production at the LHC, Phys. Rev. D 86 (2012) 034004, https://doi.org/10.1103/PhysRevD.86.034004
W. Chen, H.-X. Chen, X. Liu, T. G. Steele, and S.-L. Zhu, Hunting for exotic doubly hidden-charm/bottom tetraquark states, Phys. Lett. B 773 (2017) 247, https://doi.org/10.1016/j.physletb.2017.08.034
M. Abu-Shady, N. H. Gerish, and M. M. A. Ahmed, The Masses of Heavy Pentaquarks in Non-Relativistic Bethe-Salpeter Quark Model, Rev. Mex. Fis. 68 (2022) 010801, https://doi.org/10.31349/RevMexFis.68.010801
F. Giannuzzi, Heavy pentaquark spectroscopy in the diquark model, Phys. Rev. D 99 (2019) 094006, https://doi.org/10.1103/PhysRevD.99.094006
Y. Chargui, On an approximation of the two-body spinless Salpeter equation, Eur. Phys. J. Plus 133 (2018) 543, https://doi.org/10.1140/epjp/i2018-12420-4
S. M. M. Nejad and A. Armat, Determination of the Mass and the Energy Spectra of Heavy Pentaquarks in the Diquark Model, Few Body Syst. 61 (2020) 31, https://doi.org/10.1007/s00601-020-01564-2
S. Rahmani, H. Hassanabadi, and H. Sobhani, Mass and decay properties of double heavy baryons with a phenomenological potential model, Eur. Phys. J. C 80 (2020) 312, https://doi.org/10.1140/epjc/s10052-020-7867-0
P. Lundhammar and T. Ohlsson, Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data, Phys. Rev. D 102 (2020) 054018, https://doi.org/10.1103/PhysRevD.102.054018
H. Satz, Colour deconfinement and quarkonium binding, J. Phys. G 32 (2006) R25, https://doi.org/10.1088/0954-3899/32/3/R01
H. Mutuk, Nonrelativistic treatment of fully-heavy tetraquarks as diquarkantidiquark states, Eur. Phys. J. C 81 (2021) 367, https://doi.org/10.1140/epjc/s10052-021-09176-8
J. Ferretti, Effective Degrees of Freedon in Baryon and Meson Spectroscopy, Few Body Syst. 60 (2019) 17, https://doi.org/10.1007/s00601-019-1483-2
R. T. Kleiv, T. G. Steele, A. Zhang, and I. Blokland, Heavy-light diquark masses from QCD sum rules and constituent diquark models of tetraquarks, Phys. Rev. D 87 (2013) 125018, https://doi.org/10.1103/PhysRevD.87.125018
A. V. Berezhnoy, A. V. Luchinsky, and A. A. Novoselov, Heavy tetraquarks production at the LHC, Phys. Rev. D 86 (2012) 034004, https://doi.org/10.1103/PhysRevD.86.034004
R. Zhu and C.-F. Qiao, Pentaquark states in a diquark-triquark model, Phys. Lett. B 756 (2016) 259, https://doi.org/10.1016/j.physletb.2016.03.022
Z.-G. Wang, Analysis of the doubly heavy baryon states and pentaquark states with QCD sum rules, Eur. Phys. J. C 78 (2018) 826, https://doi.org/10.1140/epjc/s10052-018-6300-4
Q.-S. Zhou, K. Chen, X. Liu, Y.-R. Liu, and S.-L. Zhu, Surveying exotic pentaquarks with the typical QQqqq¯ configuration, Phys. Rev. C 98 (2018) 045204, https://doi.org/10.1103/PhysRevC.98.045204
R. L. Jaffe, Exotica, Phys. Rep. 409 (2005) 1, https://doi.org/10.1016/j.physrep.2004.11.005
S. Patel, M. Shah, and P. C. Vinodkumar, Mass spectra of four-quark states in the hidden charm sector, Eur. Phys. J. A 50 (2014) 131, https://doi.org/10.1140/epja/i2014-14131-9
D. Ebert, R. N. Faustov, and V. O. Galkin, Masses of heavy tetraquarks in the relativistic quark model, Phys. Lett. B 634 (2006) 214, https://doi.org/10.1016/j.physletb.2006.01.026
M.-S. Liu, Q.-F. Lü, X.-H. Zhong, and Q. Zhao, All-heavy tetraquarks, Phys. Rev. D 100 (2019) 016006, https://doi.org/10.1103/PhysRevD.100.016006
J. Wu, Y.-R. Liu, K. Chen, X. Liu, and S.-L. Zhu, Heavyflavored tetraquark states with the QQQ¯Q¯ configuration, Phys. Rev. D 97 (2018) 094015, https://doi.org/10.1103/PhysRevD.97.094015.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 M. abu-shady, M. M. A. Ahmed, N. H. Gerish
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
