\begin{document}$ \bar{q}q\bar{s}Q \;\; (q=u,\,d;\,Q=c,\,b) $\end{document} tetraquarks, with spin-parities \begin{document}$ J^P=0^+ $\end{document}, \begin{document}$ 1^+ $\end{document}, and \begin{document}$ 2^+ $\end{document}, in both isoscalar and isovector sectors, are systematically studied using a chiral quark model. The meson-meson, diquark-antidiquark, and K-type arrangements of quarks and all possible color wave functions are comprehensively considered. The four-body system is solved using the Gaussian expansion method, a highly efficient computational approach. Additonally, a complex-scaling formulation of the problem is established to disentangle bound, resonance, and scattering states. This theoretical framework has already been successfully applied in various tetra- and penta-quark systems. For the complete coupled channel and within the complex-range formulation, several narrow resonances of \begin{document}$ \bar{q}q\bar{s}c $\end{document} and \begin{document}$ \bar{q}q\bar{s}b $\end{document} systems are obtained, in each allowed \begin{document}$ I(J^P) $\end{document}-channel, within the energy regions of \begin{document}$ 2.4-3.4 $\end{document} GeV and \begin{document}$ 5.7-6.7 $\end{document} GeV, respectively. The predicted exotic states, which indicate a richer color structure when going towards multiquark systems beyond mesons and baryons, are expected to be confirmed in future high-energy particle and nuclear experiments."> The <inline-formula><tex-math id="M1">\begin{document}${ {\bar{\boldsymbol q}\boldsymbol q\bar{\boldsymbol s}\boldsymbol Q} \;\; {(\boldsymbol q {\bf =}\boldsymbol u,\,\boldsymbol d;\,\boldsymbol Q{\bf =}\boldsymbol c,\,\boldsymbol b)} }$\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/80b6df64-e276-45c3-9beb-d488e035d776/CPC-2024-0026_M1.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/80b6df64-e276-45c3-9beb-d488e035d776/CPC-2024-0026_M1.png"/></alternatives></inline-formula> tetraquark system in a chiral quark model -
  • [1]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. D102, 112003 (2020), arXiv:2009.00026[hep-ex]

  • [2]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. Lett.125, 242001 (2020), arXiv:2009.00025[hep-ex]

  • [3]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. Lett.131, 041902 (2023), arXiv:2212.02716[hep-ex]

  • [4]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. D108, 012017 (2023), arXiv:2212.02717[hep-ex]

  • [5]

    P. G. Ortega, D. R. Entem, F. Fernandezet al., arXiv: 2305.14430[hep-ph]

  • [6]

    M.-Y. Duan, M.-L. Du, Z.-H. Guoet al., Phys. Rev. D108, 074006 (2023), arXiv:2307.04092[hep-ph]

  • [7]

    B. Wang, K. Chen, L. Menget al., arXiv: 2309.02191[hep-ph]

  • [8]

    S. S. Agaev, K. Azizi, and H. Sundu, Phys. Rev. D107, 094019 (2023), arXiv:2212.12001[hep-ph]

  • [9]

    S. S. Agaev, K. Azizi, and H. Sundu, J. Phys. G50, 055002 (2023), arXiv:2207.02648[hep-ph]

  • [10]

    J. Wei, Y.-H. Wang, C.-S. Anet al., Phys. Rev. D106, 096023 (2022), arXiv:2210.04841[hep-ph]

  • [11]

    X.-S. Yang, Q. Xin, and Z.-G. Wang, Int. J. Mod. Phys. A38, 2350056 (2023), arXiv:2302.01718[hep-ph]

  • [12]

    R. Molina and E. Oset, Phys. Rev. D107, 056015 (2023), arXiv:2211.01302[hep-ph]

  • [13]

    H.-W. Ke, Y.-F. Shi, X.-H. Liuet al., Phys. Rev. D106, 114032 (2022), arXiv:2210.06215[hep-ph]

  • [14]

    Z.-L. Yue, C.-J. Xiao, and D.-Y. Chen, Phys. Rev. D107, 034018 (2023), arXiv:2212.03018[hep-ph]

  • [15]

    Z.-L. Yue, C.-J. Xiao, and D.-Y. Chen, Eur. Phys. J. C83, 769 (2023), arXiv:2308.15355[hep-ph]

  • [16]

    D.-K. Lian, W. Chen, H.-X. Chenet al., arXiv: 2302.01167[hep-ph]

  • [17]

    W.-T. Lyu, Y.-H. Lyu, M.-Y. Duanet al., arXiv: 2306.16101[hep-ph]

  • [18]

    Y. Huang, H. Hei, J.-w. Fenget al., arXiv: 2308.14148[hep-ph]

  • [19]

    M.-Y. Duan, E. Wang, and D.-Y. Chen, arXiv: 2305.09436[hep-ph]

  • [20]

    W.-T. Lyu, Y.-H. Lyu, M.-Y. Duanet al., arXiv: 2310.11139[hep-ph]

  • [21]

    X.-K. Dong, F.-K. Guo, and B.-S. Zou, Phys. Rev. Lett.126, 152001 (2021), arXiv:2011.14517[hep-ph]

  • [22]

    H.-X. Chen, W. Chen, X. Liuet al., Phys. Rept.639, 1 (2016), arXiv:1601.02092[hep-ph]

  • [23]

    H.-X. Chen, W. Chen, X. Liuet al., Rept. Prog. Phys.80, 076201 (2017), arXiv:1609.08928[hep-ph]

  • [24]

    F.-K. Guo, C. Hanhart, U.-G. Meißneret al., Rev. Mod. Phys.90, 015004 (2018), arXiv:1705.00141[hep-ph]

  • [25]

    Y.-R. Liu, H.-X. Chen, W. Chenet al., Prog. Part. Nucl. Phys.107, 237 (2019), arXiv:1903.11976[hep-ph]

  • [26]

    G. Yang, J. Ping, and J. Segovia, Symmetry12, 1869 (2020), arXiv:2009.00238[hep-ph]

  • [27]

    X.-K. Dong, F.-K. Guo, and B.-S. Zou, Commun. Theor. Phys.73, 125201 (2021), arXiv:2108.02673[hep-ph]

  • [28]

    H.-X. Chen, Phys. Rev. D105, 094003 (2022), arXiv:2103.08586[hep-ph]

  • [29]

    X. Cao, arXiv: 2301.11253[hep-ph]

  • [30]

    M. Mai, U.-G. Meißner, and C. Urbach, Phys. Rept.1001, 1 (2023), arXiv:2206.01477[hep-ph]

  • [31]

    L. Meng, B. Wang, G.-J. Wanget al., arXiv: 2204.08716[hep-ph]

  • [32]

    H.-X. Chen, W. Chen, X. Liuet al., Rept. Prog. Phys.86, 026201 (2023), arXiv:2204.02649[hep-ph]

  • [33]

    F.-K. Guo, H. Peng, J.-J. Xieet al., arXiv: 2203.07141[hep-ph]

  • [34]

    P. G. Ortega and D. R. Entem, Symmetry13, 279 (2021), arXiv:2012.10105[hep-ph]

  • [35]

    H. Huang, C. Deng, X. Liuet al., Symmetry15, 1298 (2023)

  • [36]

    R. F. Lebed, arXiv: 2308.00781[hep-ph], arXiv:2308.00781[hep-ph]

  • [37]

    B.-S. Zou, Sci. Bull.66, 1258 (2021), arXiv:2103.15273[hep-ph]

  • [38]

    M.-L. Du, V. Baru, F.-K. Guoet al., JHEP08, 157 (2021), arXiv:2102.07159[hep-ph]

  • [39]

    E. Hiyama, Y. Kino, and M. Kamimura, Prog. Part. Nucl. Phys.51, 223 (2003)

  • [40]

    G. Yang, J. Ping, and F. Wang, Phys. Rev. D95, 014010 (2017)

  • [41]

    G. Yang, J. Ping, and J. Segovia, Phys. Rev. D99, 014035 (2019), arXiv:1809.06193[hep-ph]

  • [42]

    G. Yang, J. Ping, and J. Segovia, Phys. Rev. D101, 014001 (2020), arXiv:1911.00215[hep-ph]

  • [43]

    G. Yang, J. Ping, and J. Segovia, Phys. Rev. D102, 054023 (2020), arXiv:2007.05190[hep-ph]

  • [44]

    G. Yang, J. Ping, and J. Segovia, Phys. Rev. D101, 074030 (2020), arXiv:2003.05253[hep-ph]

  • [45]

    G. Yang, J. Ping, and J. Segovia, Phys. Rev. D103, 074011 (2021), arXiv:2101.04933[hep-ph]

  • [46]

    G. Yang, J. Ping, and J. Segovia, Phys. Rev. D104, 094035 (2021), arXiv:2109.04311[hep-ph]

  • [47]

    G. Yang, J. Ping, and J. Segovia, Phys. Rev. D106, 014021 (2022), arXiv:2204.08556[hep-ph]

  • [48]

    G. Yang, J. Ping, and J. Segovia, Eur. Phys. J. C83, 772 (2023), arXiv:2303.15388[hep-ph]

  • [49]

    G. Yang, J. Ping, and J. Segovia, arXiv: 2311.01044 [hep-ph]

  • [50]

    M. D. Scadron, Phys. Rev. D26, 239 (1982)

  • [51]

    G. S. Bali, H. Neff, T. Duesselet al. (SESAM Collaboration), Phys. Rev. D71, 114513 (2005), arXiv:hep-lat/0505012[hep-lat]

  • [52]

    J. Segovia, D. R. Entem, F. Fernandezet al., Int. J. Mod. Phys. E22, 1330026 (2013), arXiv:1309.6926[hep-ph]

  • [53]

    J. Segovia, D. R. Entem, and F. Fernandez, Phys. Lett. B662, 33 (2008)

  • [54]

    J. Segovia, D. R. Entem, and F. Fernandez, Phys. Rev. D91, 094020 (2015), arXiv:1502.03827[hep-ph]

  • [55]

    P. G. Ortega, J. Segovia, D. R. Entemet al., Eur. Phys. J. C80, 223 (2020), arXiv:2001.08093[hepph]

  • [56]

    A. Valcarce, F. Fernandez, P. Gonzalezet al., Phys. Lett. B367, 35 (1996), arXiv:nucl-th/9509009[nucl-th]

  • [57]

    G. Yang, J. Ping, and J. Segovia, Few Body Syst.59, 113 (2018), arXiv:1709.09315[hep-ph]

  • [58]

    G. Yang, J. Ping, P. G. Ortegaet al., Chin. Phys. C44, 023102 (2020), arXiv:1904.10166[hep-ph]

  • [59]

    J. Segovia, A. M. Yasser, D. R. Entemet al., Phys. Rev. D80, 054017 (2009)

  • [60]

    J. Segovia, D. R. Entem, and F. Fernandez, Phys. Rev. D83, 114018 (2011)

  • [61]

    J. Segovia, C. Albertus, D. R. Entemet al., Phys. Rev. D84, 094029 (2011), arXiv:1107.4248[hep-ph]

  • [62]

    P. G. Ortega, J. Segovia, D. R. Entemet al., Phys. Rev. D81, 054023 (2010), arXiv:0907.3997[hepph]

  • [63]

    P. G. Ortega, J. Segovia, D. R. Entemet al., Phys. Rev. D95, 034010 (2017), arXiv:1612.04826[hepph]

  • [64]

    P. G. Ortega, J. Segovia, D. R. Entemet al., Phys. Rev. D94, 114018 (2016), arXiv:1608.01325[hepph]

  • [65]

    P. G. Ortega, J. Segovia, D. R. Entemet al., Eur. Phys. J. C79, 78 (2019), arXiv:1808.00914[hep-ph]

  • [66]

    P. G. Ortega, J. Segovia, and F. Fernandez, Phys. Rev. D104, 094004 (2021), arXiv:2107.02544[hep-ph]

  • [67]

    P. G. Ortega, J. Segovia, D. R. Entemet al., Phys. Lett. B841, 137918 (2023), arXiv:2211.06118[hepph]

Baidu
map