\begin{document}$QQ\bar{q}\bar{q}$\end{document} (\begin{document}$Q=c,b$\end{document}; \begin{document}$q=u,d,s$\end{document}) tetraquark states with the aid of heavy diquark-antiquark symmetry (HDAS) and the chromomagnetic interaction (CMI) model. The masses of the highest-spin (\begin{document}$J=2$\end{document}) tetraquarks that have only the \begin{document}$(QQ)_{\bar{3}_c}(\bar{q}\bar{q})_{3_c}$\end{document}color structure are related with those of conventional hadrons using HDAS. Thereafter, the masses of their partner states are determined with the mass splittings in the CMI model. Our numerical results reveal that (i) the lightest \begin{document}$cc\bar{n}\bar{n}$\end{document} (\begin{document}$n=u,d$\end{document}) is an \begin{document}$I(J^P)=0(1^+)$\end{document} state around 3929 MeV (53 MeV above the \begin{document}$DD^*$\end{document} threshold), and none of the double-charm tetraquarks are stable; (ii) the stable double-bottom tetraquarks are the lowest \begin{document}$0(1^+)$\end{document} \begin{document}$bb\bar{n}\bar{n}$\end{document} around 10488 MeV (\begin{document}$\approx116$\end{document} MeV below the \begin{document}$\bar{B}\bar{B}^*$\end{document} threshold) and the lowest \begin{document}$1/2(1^+)$\end{document} \begin{document}$bb\bar{n}\bar{s}$\end{document} around 10671 MeV (\begin{document}$\approx20$\end{document} MeV below the \begin{document}$\bar{B}\bar{B}_s^*/\bar{B}_s\bar{B}^*$\end{document} threshold); and (iii) the two lowest \begin{document}$bc\bar{n}\bar{n}$\end{document} tetraquarks, namely the lowest \begin{document}$0(0^+)$\end{document} around 7167 MeV and the lowest \begin{document}$0(1^+)$\end{document} around 7223 MeV, are in the near-threshold states. Moreover, we discuss the constraints on the masses of double-heavy hadrons. Specifically, for the lowest nonstrange tetraquarks, we obtain \begin{document}$T_{cc} < 3965$\end{document} MeV, \begin{document}$T_{bb} < 10627$\end{document} MeV, and \begin{document}$T_{bc} < 7199$\end{document} MeV."> Double-heavy tetraquark states with heavy diquark-antiquark symmetry -
  • [1]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. Lett.119(11), 112001 (2017), arXiv:1707.01621[hep-ex

  • [2]

    M. Mattsonet al. (SELEX Collaboration), Phys. Rev. Lett.89, 112001 (2002), arXiv:hep-ex/0208014

  • [3]

    A. Ocherashviliet al. (SELEX), Phys. Lett. B628, 18-24 (2005), arXiv:hep-ex/0406033[hep-ex

  • [4]

    S. P. Ratti, Nucl. Phys. Proc. Suppl.115, 33 (2003

  • [5]

    B. Aubertet al. (BaBar), Phys. Rev. D74, 011103 (2006), arXiv:hep-ex/0605075[hep-ex

  • [6]

    Y. Katoet al. (Belle Collaboration), Phys. Rev. D89(5), 052003 (2014), arXiv:1312.1026[hep-ex

  • [7]

    R. Aaijet al. (LHCb Collaboration), Sci. China Phys. Mech. Astron.63(2), 221062 (2020), arXiv:1909.12273[hep-ex

  • [8]

    S. H. Lee and S. Yasui, Eur. Phys. J. C64, 283 (2009), arXiv:0901.2977[hep-ph

  • [9]

    T. Hyodo, Y. R. Liu, M. Okaet al., Phys. Lett. B721, 56 (2013), arXiv:1209.6207[hep-ph

  • [10]

    T. Hyodo, Y. R. Liu, M. Okaet al., arXiv: 1708.05169[hep-ph]

  • [11]

    S. Q. Luo, K. Chen, X. Liuet al., Eur. Phys. J. C77(10), 709 (2017), arXiv:1707.01180[hep-ph

  • [12]

    X. Yan, B. Zhong, and R. Zhu, Int. J. Mod. Phys. A33(16), 1850096 (2018), arXiv:1804.06761[hep-ph

  • [13]

    H. J. Lipkin, Phys. Lett. B172, 242 (1986

  • [14]

    S. Zouzou, B. Silvestre-Brac, C. Gignouxet al., Z. Phys. C30, 457 (1986

  • [15]

    C. Semay and B. Silvestre-Brac, Z. Phys. C61, 271 (1994

  • [16]

    S. Pepin, F. Stancu, M. Genoveseet al., Phys. Lett. B393, 119 (1997), arXiv:hep-ph/9609348

  • [17]

    D. M. Brink and F. Stancu, Phys. Rev. D57, 6778 (1998

  • [18]

    G. Q. Feng, X. H. Guo, and B. S. Zou, arXiv: 1309.7813 [hep-ph]

  • [19]

    M. Karliner and J. L. Rosner, Phys. Rev. Lett.119(20), 202001 (2017), arXiv:1707.07666[hep-ph

  • [20]

    W. Park, S. Noh, and S. H. Lee, Nucl. Phys. A983, 1 (2019), arXiv:1809.05257[nucl-th

  • [21]

    T. F. Carams, J. Vijande, and A. Valcarce, Phys. Rev. D99(1), 014006 (2019), arXiv:1812.08991[hep-ph

  • [22]

    E. Hernndez, J. Vijande, A. Valcarceet al., Phys. Lett. B800, 135073 (2020), arXiv:1910.13394[hep-ph

  • [23]

    Y. Yang, C. Deng, J. Pinget al., Phys. Rev. D80, 114023 (2009

  • [24]

    G. Yang, J. Ping, and J. Segovia, Phys. Rev. D101(1), 014001 (2020), arXiv:1911.00215[hep-ph

  • [25]

    M. A. Bedolla, J. Ferretti, C. D. Robertset al., arXiv: 1911.00960[hep-ph]

  • [26]

    P. C. Wallbott, G. Eichmann, and C. S. Fischer, arXiv: 2003.12407[hep-ph]

  • [27]

    M. T. Yu, Z. Y. Zhou, D. Y. Chenet al., Phys. Rev. D101(7), 074027 (2020), arXiv:1912.07348[hep-ph

  • [28]

    C. Deng, H. Chen, and J. Ping, Eur. Phys. J. A56(1), 9 (2020), arXiv:1811.06462[hep-ph

  • [29]

    Y. Tan, W. Lu, and J. Ping, arXiv: 2004.02106[hep-ph]

  • [30]

    Q. F. L, D. Y. Chen, and Y. B. Dong, arXiv: 2006.08087[hep-ph]

  • [31]

    D. Ebert, R. N. Faustov, V. O. Galkinet al., Phys. Rev. D76, 114015 (2007), arXiv:0706.3853[hep-ph

  • [32]

    G. Yang, J. Ping, and J. Segovia, arXiv: 2007.05190[hep-ph]

  • [33]

    M. L. Du, W. Chen, X. L. Chenet al., Phys. Rev. D87(1), 014003 (2013), arXiv:1209.5134[hep-ph

  • [34]

    W. Chen, T. G. Steele, and S. L. Zhu, Phys. Rev. D89(5), 054037 (2014), arXiv:1310.8337[hep-ph

  • [35]

    Z. G. Wang and Z. H. Yan, Eur. Phys. J. C78(1), 19 (2018), arXiv:1710.02810[hep-ph

  • [36]

    S. S. Agaev, K. Azizi, and H. Sundu, Nucl. Phys. B951, 114890 (2020), arXiv:1905.07591[hep-ph

  • [37]

    L. Tang, B. D. Wan, K. Maltmanet al., Phys. Rev. D101(9), 094032 (2020), arXiv:1911.10951[hep-ph

  • [38]

    S. S. Agaev, K. Azizi, B. Barsbayet al., Phys. Rev. D101(9), 094026 (2020), arXiv:1912.07656[hep-ph

  • [39]

    F. S. Navarra, M. Nielsen, and S. H. Lee, Phys. Lett. B649, 166-172 (2007), arXiv:hep-ph/0703071[hep-ph

  • [40]

    D. Gao, D. Jia, Y. J. Sunet al., arXiv: 2007.15213[hep-ph]

  • [41]

    Z. S. Brown and K. Orginos, Phys. Rev. D86, 114506 (2012), arXiv:1210.1953[hep-lat

  • [42]

    Y. Ikedaet al., Phys. Lett. B729, 85 (2014), arXiv:1311.6214[hep-lat

  • [43]

    P. Bicudo, K. Cichy, A. Peterset al., Phys. Rev. D92(1), 014507 (2015), arXiv:1505.00613[hep-lat

  • [44]

    A. Francis, R. J. Hudspith, R. Lewiset al., Phys. Rev. Lett.118(14), 142001 (2017), arXiv:1607.05214[hep-lat

  • [45]

    A. Francis, R. J. Hudspith, R. Lewiset al., Phys. Rev. D99(5), 054505 (2019), arXiv:1810.10550[hep-lat

  • [46]

    P. Junnarkar, N. Mathur, and M. Padmanath, Phys. Rev. D99(3), 034507 (2019), arXiv:1810.12285[hep-lat

  • [47]

    L. Leskovec, S. Meinel, M. Pflaumeret al., Phys. Rev. D100(1), 014503 (2019), arXiv:1904.04197[hep-lat

  • [48]

    R. J. Hudspith, B. Colquhoun, A. Franciset al., arXiv: 2006.14294[hep-lat]

  • [49]

    Y. Liu, M. A. Nowak, and I. Zahed, arXiv: 1909.02497 [hep-ph]

  • [50]

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

  • [51]

    J. Wu, Y. R. Liu, K. Chenet al., Phys. Rev. D94(9), 094031 (2016), arXiv:1608.07900[hep-ph

  • [52]

    K. Chen, X. Liu, J. Wuet al., Eur. Phys. J. A53(1), 5 (2017), arXiv:1609.06117[hep-ph

  • [53]

    J. Wu, Y. R. Liu, K. Chenet al., Phys. Rev. D97(9), 094015 (2018), arXiv:1605.01134[hep-ph

  • [54]

    J. Wu, Y. R. Liu, K. Chenet al., Phys. Rev. D95(3), 034002 (2017), arXiv:1701.03873[hep-ph

  • [55]

    Q. S. Zhou, K. Chen, X. Liuet al., Phys. Rev. C98(4), 045204 (2018), arXiv:1801.04557[hep-ph

  • [56]

    J. Wu, X. Liu, Y. R. Liuet al., Phys. Rev. D99(1), 014037 (2019), arXiv:1810.06886[hep-ph

  • [57]

    H. T. An, Q. S. Zhou, Z. W. Liuet al., Phys. Rev. D100(5), 056004 (2019), arXiv:1905.07858[hep-ph

  • [58]

    J. B. Cheng and Y. R. Liu, Phys. Rev. D100(5), 054002 (2019), arXiv:1905.08605[hep-ph

  • [59]

    S. Y. Li, Y. R. Liu, Y. N. Liuet al., Eur. Phys. J. C79, 87 (2019), arXiv:1809.08072[hep-ph

  • [60]

    X. Z. Weng, X. L. Chen, and W. Z. Deng, Phys. Rev. D97(5), 054008 (2018), arXiv:1801.08644[hep-ph

  • [61]

    M. Anselmino, E. Predazzi, S. Ekelinet al., Rev. Mod. Phys.65, 1199 (1993

  • [62]

    D. B. Lichtenberg, J. Phys. G16, 1599 (1990

  • [63]

    J. Carlson, L. Heller, and J. A. Tjon, Phys. Rev. D37, 744 (1988

  • [64]

    M. J. Savage and M. B. Wise, Phys. Lett. B248, 177 (1990

  • [65]

    N. Brambilla, A. Vairo, and T. Rosch, Phys. Rev. D72, 034021 (2005), arXiv:hep-ph/0506065

  • [66]

    S. Fleming and T. Mehen, Phys. Rev. D73, 034502 (2006), arXiv:hep-ph/0509313

  • [67]

    T. D. Cohen and P. M. Hohler, Phys. Rev. D74, 094003 (2006), arXiv:hep-ph/0606084

  • [68]

    M. Karliner and J. L. Rosner, Phys. Rev. D90(9), 094007 (2014), arXiv:1408.5877[hep-ph

  • [69]

    J. B. Cheng, S. Y. Li, Y. R. Liuet al., Phys. Rev. D101(11), 114017 (2020), arXiv:2001.05287[hep-ph

  • [70]

    A. De Rujula, H. Georgi, and S. L. Glashow, Phys. Rev. D12, 147 (1975

  • [71]

    S. Godfrey and N. Isgur, Phys. Rev. D32, 189 (1985

  • [72]

    B. Keren-Zur, Annals Phys.323, 631 (2008), arXiv:hep-ph/0703011[HEP-PH

  • [73]

    H. J. Lipkin, Phys. Lett. B171, 293 (1986

  • [74]

    M. Tanabashiet al., Phys. Rev. D98(3), 030001 (2018

  • [75]

    X. Z. Weng, X. L. Chen, W. Z. Denget al., Phys. Rev. D100(1), 016014 (2019), arXiv:1904.09891[hep-ph

  • [76]

    H. Miyazawa, Prog. Theor. Phys.36(6), 1266 (1966

  • [77]

    H. Miyazawa, Phys. Rev.170, 1586 (1968

  • [78]

    C. s. Gao and T. h. Ho, Commun. Theor. Phys.1, 761 (1982

  • [79]

    H. B. Thacker, E. Eichten, and J. C. Sexton, Nucl. Phys. Proc. Suppl.4, 234 (1988

  • [80]

    D. W. Duke and J. F. Owens, Singapore, Singapore: World Scientific (1985) 441p

  • [81]

    A. V. Manohar and M. B. Wise, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol.10, 1 (2000

  • [82]

    D. B. Lichtenberg, R. Roncaglia, and E. Predazzi, Phys. Rev. D53, 6678 (1996), arXiv:hep-ph/9511461

  • [83]

    E. J. Eichten and C. Quigg, Phys. Rev. Lett.119(20), 202002 (2017), arXiv:1707.09575[hep-ph

  • [84]

    E. Braaten, L. P. He, and A. Mohapatra, arXiv: 2006.08650 [hep-ph]

  • [85]

    K. W. Wei, B. Chen, N. Liuet al., Phys. Rev. D95(11), 116005 (2017), arXiv:1609.02512[hep-ph

  • [86]

    Z. S. Brown, W. Detmold, S. Meinelet al., Phys. Rev. D90(9), 094507 (2014), arXiv:1409.0497[hep-lat

  • [87]

    M. Karliner and J. L. Rosner, Phys. Rev. D97(9), 094006 (2018), arXiv:1803.01657[hep-ph

  • [88]

    D. Ebert, R. N. Faustov, V. O. Galkinet al., Phys. Rev. D66, 014008 (2002), arXiv:hep-ph/0201217

  • [89]

    W. Roberts and M. Pervin, Int. J. Mod. Phys. A23, 2817 (2008), arXiv:0711.2492[nucl-th

  • [90]

    C. Albertus, E. Hernandez, J. Nieveset al., Eur. Phys. J. A32, 183(2007) Erratum: [Eur. Phys. J. A36, 119(2008)] [hep-ph/0610030]

  • [91]

    B. Silvestre-Brac, Few Body Syst.20, 1 (1996

  • [92]

    D. H. He, K. Qian, Y. B. Dinget al., Phys. Rev. D70, 094004 (2004), arXiv:hep-ph/0403301

  • [93]

    M.-H. Weng, X.-H. Guo, and A. W. Thomas, Phys. Rev. D83, 056006 (2011), arXiv:1012.0082[hep-ph

  • [94]

    Z. G. Wang, Eur. Phys. J. A45, 267-274 (2010), arXiv:1001.4693[hep-ph

  • [95]

    Z. G. Wang, Eur. Phys. J. C68, 459-472 (2010), arXiv:1002.2471[hep-ph

  • [96]

    J. M. Richard, A. Valcarce, and J. Vijande, Annals Phys.412, 168009 (2020), arXiv:1910.08295[nucl-th

  • [97]

    P. Hasenfratz, R. R. Horgan, J. Kutiet al., Phys. Lett. B94, 401-404 (1980

  • [98]

    S. Ohkoda, Y. Yamaguchi, S. Yasuiet al., Phys. Rev. D86, 034019 (2012), arXiv:1202.0760[hep-ph

  • [99]

    N. Li, Z. F. Sun, X. Liuet al., Phys. Rev. D88(11), 114008 (2013), arXiv:1211.5007[hep-ph

  • [100]

    S. Sakai, L. Roca, and E. Oset, Phys. Rev. D96(5), 054023 (2017), arXiv:1704.02196[hep-ph

  • [101]

    H. Xu, B. Wang, Z. W. Liuet al., Phys. Rev. D99(1), 014027 (2019), arXiv:1708.06918[hep-ph

  • [102]

    B. Wang, Z. W. Liu, and X. Liu, Phys. Rev. D99(3), 036007 (2019), arXiv:1812.04457[hep-ph

  • [103]

    A. Ali, A. Y. Parkhomenko, Q. Qinet al., Phys. Lett. B782, 412-420 (2018), arXiv:1805.02535[hep-ph

  • [104]

    A. Esposito, M. Papinutto, A. Pilloniet al., Phys. Rev. D88(5), 054029 (2013), arXiv:1307.2873[hep-ph

  • [105]

    A. Ali, Q. Qin, and W. Wang, Phys. Lett. B785, 605-609 (2018), arXiv:1806.09288[hep-ph

  • [106]

    C. E. Fontoura, G. Krein, A. Valcarceet al., Phys. Rev. D99(9), 094037 (2019), arXiv:1905.03877[hep-ph

  • [107]

    S. Choet al. (ExHIC Collaboration), Phys. Rev. Lett.106, 212001 (2011), arXiv:1011.0852[nucl-th

  • [108]

    S. Choet al. (ExHIC Collaboration), Phys. Rev. C84, 064910 (2011), arXiv:1107.1302[nucl-th

  • [109]

    J. Hong, S. Cho, T. Songet al., Phys. Rev. C98(1), 014913 (2018), arXiv:1804.05336[nucl-th

  • [110]

    Y. Jin, S. Y. Li, Y. R. Liuet al., Phys. Rev. D89(9), 094006 (2014), arXiv:1401.6652[hep-ph

Baidu
map