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Spectroscopy of hidden-charm tetraquarks in diquark model

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Abstract

A nonrelativistic model is used to study hidden-charm tetraquarks within a diquark–antidiquark configuration. Using the perturbation theory, we estimate the masses of the heavy tetraquarks with hidden charm. Our present analysis suggests the charmonium-like states: X(3860), X(3872), \(Z_c(3943)\), X(4140), \(Z_c(4430)\) and X(4700) can be accommodated in tetraquark picture. We particularly find that the \( Z_c(4430) \) may be treated as the first radial excitation of X(3872).

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Data Availability Statement

This manuscript has associated data in a data repository [Authors’ comment: The experimental data used in the present study was published by Belle and PDG collaborations [95–98].]

References

  1. S.K. Choi et al., (Belle Collaboration). Phys. Rev. Lett. 91, 262001 (2003)

  2. R. Aaij et al., (LHCb Collaboration). Nucl. Phys. B 886, 665 (2014). arXiv:1404.0275 [hep-ex]

  3. K. Nakamura et al., (Particle Data Group). J. Phys. G 37, 075021 (2010)

  4. S. Godfrey, S. Olsen, Annu. Rev. Nucl. Part. Sci. 58, 51 (2008)

    ADS  Google Scholar 

  5. E.S. Swanson, Phys. Rep. 429, 243 (2006)

    ADS  Google Scholar 

  6. T. Aaltonen et al., (CDF Collaboration). Phys. Rev. Lett. 102, 242002 (2009). arXiv:0903.2229 [hep-ex]

  7. K. Yi (for the CDF Collaboration). arXiv:1010.3470 [hep-ex]

  8. B. Aubert et al. (BABAR Collaboration). arXiv:0808.1543v2 [hep-ex]

  9. B. Aubert et al. (BaBar Collaboration), Phys. Rev. Lett. 95, 142001 (2005). arXiv:hep-ex/0506081

  10. S.K. Choi et al., (Belle Collaboration). Phys. Rev. Lett. 100, 142001 (2008). arXiv:0708.1790 [hep-ex]

  11. M. Ablikim et al., (BESIII Collaboration). Phys. Rev. Lett. 110, 252001 (2013). arXiv:1303.5949 [hep-ex]

  12. R. Aaij et al., (LHCb Collaboration). Phys. Rev. Lett. 118, 022003 (2017). arXiv:1606.07895 [hep-ex]

  13. R. Aaij et al., (LHCb Collaboration). Phys. Rev. D 95, 012002 (2017). arXiv:1606.07898 [hep-ex]

  14. D. Ebert, R.N. Faustov, V.O. Galkin, Phys. Lett. B 696, 241 (2011)

    ADS  Google Scholar 

  15. Garmash et al., (Belle Collaboration). Phys. Rev. D 91, 072003 (2015). arXiv:1403.0992 [hep-ex]

  16. A. Bondar et al., (Belle Collaboration). Phys. Rev. Lett. 108, 122001 (2012). arXiv:1110.2251 [hep-ex]

  17. P. Krokovny et al., (Belle Collaboration). Phys. Rev. D 88, 052016 (2013). arXiv:1308.2646 [hep-ex]

  18. B. Aubert et al., (BABAR Collaboration). Phys. Rev. Lett. 102, 012001 (2009). arXiv:0809.4120 [hep-ex]

  19. A. Esposito, A. Pilloni, A.D. Polosa, Phys. Rept. 668, 1 (2016). arXiv:1611.07920 [hep-ph]

    ADS  Google Scholar 

  20. J. Ferretti, Phys. Lett. B 782, 702 (2018)

    ADS  Google Scholar 

  21. J.M. Richard, Few Body Syst. 57, 1185 (2016). arXiv:1606.08593 [hep-ph]

    ADS  Google Scholar 

  22. F. Giacosa, Phys. Rev. D 74, 014028 (2006). arXiv:hep-ph/0605191v2

  23. J. Sonnenschein, D. Weissman, Nucl. Phys. B 920, 319 (2017)

    ADS  Google Scholar 

  24. A. Heinz, S. Struber, F. Giacosa, D.H. Rischke, Phys. Rev. D 79, 037502 (2009). arXiv:0805.1134 [hep-ph]

    ADS  Google Scholar 

  25. N. Brambilla et al., Eur. Phys. J. C 71, 1534 (2011). arXiv:1010.5827 [hep-ph]

    ADS  Google Scholar 

  26. S.L. Olsen, Front. Phys. 10, 101401 (2015). arXiv:1411.7738 [hep-ex]

    Google Scholar 

  27. H.X. Chen, W. Chen, X. Liu, S.L. Zhu, Phys. Rept. 639, 1 (2016). arXiv:1601.02092 [hep-ph]

    ADS  Google Scholar 

  28. R.F. Lebed, R.E. Mitchell, E.S. Swanson, Prog. Part. Nucl. Phys. 93, 143 (2017). arXiv:1610.04528 [hep-ph]

    ADS  Google Scholar 

  29. F.K. Guo et al., Rev. Mod. Phys. 90, 015004 (2018). arXiv:1705.00141 [hep-ph]

    ADS  Google Scholar 

  30. S.L. Olsen, T. Skwarnicki, D. Zieminska, Rev. Mod. Phys. 90, 015003 (2018). arXiv:1708.04012 [hep-ph]

    ADS  Google Scholar 

  31. A. Ali, J.S. Lange, S. Stone, Prog. Part. Nucl. Phys. 97, 123 (2017). arXiv:1706.00610 [hep-ph]

    ADS  Google Scholar 

  32. M. Karliner, J.L. Rosner, T. Skwarnicki, Ann. Rev. Nucl. Part. Sci. 68, 17 (2018). arXiv:1711.10626 [hep-ph]]

    ADS  Google Scholar 

  33. Z.G. Wang, Eur. Phys. J. C 77, 78 (2017). arXiv:1606.05872 [hep-ph]

    ADS  Google Scholar 

  34. Z.G. Wang, Eur. Phys. J. C 76, 657 (2016). arXiv:1607.00701 [hep-ph]

    ADS  Google Scholar 

  35. A. Ali, I. Ahmed, M.J. Aslam, A. Rehman. arXiv:1607.00987 [hep-ph]

  36. L. Maiani, A.D. Polosa, V. Riquer, Phys. Rev. D 94, 054026 (2016). arXiv:1607.02405 [hep-ph]

    ADS  Google Scholar 

  37. X.H. Liu, Phys. Lett. B 766, 117 (2017). arXiv:1607.01385 [hep-ph]

    ADS  Google Scholar 

  38. H. Chen et al., Eur. Phys. J. C 77, 160 (2017)

    ADS  Google Scholar 

  39. A.A. Andrianov, V.A. Andrianov, D. Espriu, A.V. Iakubovich, A.E. Putilova, Phys. Part. Nucl. Lett. 15, 357 (2018)

    Google Scholar 

  40. G.K.C. Cheung et al., [Hadron Spectrum Collaboration]. JHEP 1711, 33 (2017). [arXiv:1709.01417 [hep-lat]]

  41. M. Albaladejo, P. Fernandez-Soler, J. Nieves, P.G. Ortega, Eur. Phys. J. C 78, 722 (2018). [arXiv:1805.07104 [hep-ph]]

    ADS  Google Scholar 

  42. Y. Ikeda et al., [HAL QCD Collaboration]. Phys. Rev. Lett. 117, 242001 (2016). [arXiv:1602.03465 [hep-lat]]

  43. J.J. Dudek et al., [Hadron Spectrum Collaboration]. Phys. Rev. D 88, 094505 (2013). [arXiv:1309.2608 [hep-lat]]

  44. L.M. Abreu, Nucl. Phys. A 940, 1 (2015)

    ADS  Google Scholar 

  45. C. Hidalgo-Duque, J. Nieves, M.P. Valderrama, Phys. Rev. D 87, 076006 (2013)

    ADS  Google Scholar 

  46. X. Liu, Z.G. Luo, Y.R. Liu, S.L. Zhu, Eur. Phys. J. C 61, 411 (2009)

    ADS  Google Scholar 

  47. X. Liu, S.L. Zhu, Phys. Rev. D 85, 019902 (2012)

    ADS  Google Scholar 

  48. Y. Liu, I. Zahed, Phys. Lett. B 762, 362 (2016)

    ADS  Google Scholar 

  49. N. Mahajan, Phys. Lett. B 679, 228 (2009)

    ADS  Google Scholar 

  50. T. Branz, T. Gutsche, V.E. Lyubovitskij, Phys. Rev. D 80, 054019 (2009)

    ADS  Google Scholar 

  51. G.J. Ding, Eur. Phys. J. C 64, 297 (2009)

    ADS  Google Scholar 

  52. Z.G. Wang, Int. J. Mod. Phys. A 26, 4929 (2011)

    ADS  Google Scholar 

  53. S.I. Finazzo, M. Nielsen, X. Liu, Phys. Lett. B 701, 101 (2011)

    ADS  Google Scholar 

  54. J. He, X. Liu, Eur. Phys. J. C 72, 1986 (2012)

    ADS  Google Scholar 

  55. R. Molina, E. Oset, Phys. Rev. D 80, 114013 (2009)

    ADS  Google Scholar 

  56. T. Branz, R. Molina, E. Oset, Phys. Rev. D 83, 114015 (2011)

    ADS  Google Scholar 

  57. S.S. Agaev, K. Azizi, B. Barsbay, H. Sundu, Nucl. Phys. B 939, 130 (2019). arXiv:1806.04447 [hep-ph]

    ADS  Google Scholar 

  58. E. Veli Veliev, S. Günaydın, H. Sundu, Eur. Phys. J. Plus 133, 139 (2018)

    Google Scholar 

  59. J. Ho, R. Berg, T.G. Steele, W. Chen, D. Harnett, Phys. Rev. D 98, 096020 (2018). arXiv:1806.02465 [hep-ph]

    ADS  Google Scholar 

  60. S.S. Agaev, K. Azizi, H. Sundu, Eur. Phys. J. C 78, 141 (2018). arXiv:1710.01971 [hep-ph]

    ADS  Google Scholar 

  61. S.S. Agaev, K. Azizi, H. Sundu, Phys. Rev. D 93, 114036 (2016). arXiv:1605.02496 [hep-ph]

    ADS  Google Scholar 

  62. S.S. Agaev, K. Azizi, H. Sundu, Phys. Rev. D 93, 094006 (2016). arXiv:1603.01471 [hep-ph]

    ADS  Google Scholar 

  63. W. Chen, H.X. Chen, X. Liu, T.G. Steele, S.L. Zhu, Phys. Rev. Lett. 117, 022002 (2016). arXiv:1602.08916 [hep-ph]

    ADS  Google Scholar 

  64. W. Chen, T.G. Steele, S.L. Zhu, Phys. Rev. D 89, 054037 (2014). arXiv:1310.8337 [hep-ph]

    ADS  Google Scholar 

  65. I.V. Danilkin, Y.A. Simonov, Phys. Rev. D 81, 074027 (2010)

    ADS  Google Scholar 

  66. E. van Beveren, G. Rupp,. arXiv:0906.2278 [hep-ph]

  67. X. Chen, J. Ping, Phys. Rev. D 98, 054022 (2018). arXiv:1807.10505 [hep-ph]

    ADS  Google Scholar 

  68. M.N. Anwar, J. Ferretti, E. Santopinto, Phys. Rev. D 98, 094015 (2018). arXiv:1805.06276 [hep-ph]

    ADS  Google Scholar 

  69. M.N. Anwar, J. Ferretti, F.K. Guo, E. Santopinto, B.S. Zou, Eur. Phys. J. C 78, 647 (2018). arXiv:1710.02540 [hep-ph]

    ADS  Google Scholar 

  70. Q.F. Lü, Y.B. Dong, Phys. Rev. D 94, 074007 (2016). arXiv:1607.05570 [hep-ph]

    ADS  Google Scholar 

  71. J. Wu, Y.R. Liu, K. Chen, X. Liu, S.L. Zhu, Phys. Rev. D 94, 094031 (2016). arXiv:1608.07900 [hep-ph]

    ADS  Google Scholar 

  72. R. Zhu, Phys. Rev. D 94, 054009 (2016). arXiv:1607.02799 [hep-ph]

    ADS  Google Scholar 

  73. W. Chen, H.X. Chen, X. Liu, T.G. Steele, S.L. Zhu, Phys. Lett. B 773, 247 (2017). arXiv:1605.01647 [hep-ph]

    ADS  Google Scholar 

  74. Q.F. Lu, Y.B. Dong, Phys. Rev. D 94, 094041 (2016). arXiv:1603.06417 [hep-ph]

    ADS  Google Scholar 

  75. L. Maiani, F. Piccinini, A.D. Polosa, V. Riquer, Phys. Rev. D 89, 114010 (2014). arXiv:1405.1551 [hep-ph]

    ADS  Google Scholar 

  76. F. Stancu, J. Phys. G 37, 075017 (2010)

    ADS  Google Scholar 

  77. S. Patel, M. Shah, P.C. Vinodkumar, Eur. Phys. J. A 50, 131 (2014)

    ADS  Google Scholar 

  78. W. Park, S. Noh, S.H. Lee, Nucl. Phys. A 983, 1 (2019). arXiv:1809.05257 [nucl-th]

    ADS  Google Scholar 

  79. N. Brambilla, A. Pineda, J. Soto, A. Vairo, Rev. Mod. Phys. 77, 1423 (2005)

    ADS  Google Scholar 

  80. A. De Rujula, H. Georgi, S.L. Glashow, Phys. Rev. D 12, 147 (1975)

    ADS  Google Scholar 

  81. T.A. DeGrand, R.L. Jaffe, K. Johnson, J.E. Kiskis, Phys. Rev. D 12, 2060 (1975)

    ADS  Google Scholar 

  82. E.V. Shuryak, Nucl. Phys. B 203, 93 (1982)

    ADS  Google Scholar 

  83. M.G. Alford, R.L. Jaffe, Nucl. Phys. B 578, 367 (2000). arXiv:hep-lat/0001023

    ADS  Google Scholar 

  84. G. Hellstern, R. Alkofer, H. Reinhardt, Nucl. Phys. A 625, 697 (1997). arXiv:hep-ph/9706551

    ADS  Google Scholar 

  85. Z. Ghalenovi, M. Moazzen, Eur. Phys. J. Plus 132(8), 354 (2017)

    Google Scholar 

  86. V.R. Debastiani, F.S. Navarra, Chin. Phys. C 43, 013105 (2018). arXiv:1706.07553 [hep-ph]

    ADS  Google Scholar 

  87. Z. Ghalenovi, M Moazzen Sorkhi, Eur. Phys. J. Plus 133, 301 (2018)

    Google Scholar 

  88. I.J.R. Aitchison, J.J. Dudek, Eur. J. Phys. 23, 605 (2002)

    Google Scholar 

  89. M. Abramowitz, Handbook of Mathematical Functions, 10th edn. (National Bureau of Standards-US, Gaithersburg, 1964), p. 446

    Google Scholar 

  90. Z. Ghalenovi, F. Giacosa, D.H. Rischke, Acta Phys. Polon. B 47, 1185 (2016)

    ADS  Google Scholar 

  91. S. Godfrey, N. Isgur, Phys. Rev. D 32, 189 (1985)

    ADS  Google Scholar 

  92. T.A. Lahde, C.J. Nyfalt, D.O. Riska, Nucl. Phys. A 645, 587 (1999)

    ADS  Google Scholar 

  93. A.M. Badalian, D.S. Kuzmenko, Phys. Rev. D 65, 016004 (2001)

    ADS  Google Scholar 

  94. J. Vijande, F. Fernandez, A. Valcarce, B. Silvestre-Brac, Eur. Phys. J. A 19, 383 (2004). arXiv:hep-ph/0310007

    ADS  Google Scholar 

  95. Partignani et al., (Particle Data Group). Phys. Rev. D 98, 030001 (2018)

  96. K. Chilikin et al., (Belle collaboration). Phys. Rev. D 95, 112003 (2017)

  97. Partignani et al., (Particle Data Group). Chin. Phys. C 40, 100001 (2016)

  98. P. Pakhlov et al., (Belle Collaboration). Phys. Rev. Lett. 100, 202001 (2008)

  99. J. Wu, X. Liu, Y.R. Liu, ShL Zhu, Phys. Rev. D 99, 014037 (2019)

    ADS  Google Scholar 

  100. W. Chen, H.X. Chen, X. Liu, T.G. Steele, ShL Zhu, Phys. Rev. D 96, 114017 (2017)

    ADS  Google Scholar 

  101. D. Ebert, R.N. Faustov, V.O. Galkin, Phys. At. Nucl 72, 184 (2009)

    Google Scholar 

  102. D. Ebert, R.N. Faustov, V.O. Galkin, W. Lucha, Phys. Rev. D 76, 114015 (2007)

    ADS  Google Scholar 

  103. D. Ebert, R.N. Faustov, V.O. Galkin, Eur. Phys. J. C 58, 399 (2008)

    ADS  Google Scholar 

  104. L. Maiani, A.D. Polosa, V. Riquer, Phys. Lett. B 778, 247 (2018)

    ADS  Google Scholar 

  105. L. Maiani, V. Riquer, R. Faccini, F. Piccinini, A. Pilloni, A.D. Polosa, Phys. Rev. D 87, 111102 (2013)

    ADS  Google Scholar 

  106. L. Maiani, F. Piccinini, A.D. Polosa, V. Riquer, Phys. Rev. D 71, 014028 (2005)

    ADS  Google Scholar 

  107. N.A. Tornqvist, Phys. Lett. B 590, 209 (2004)

    ADS  Google Scholar 

  108. C.E. Thomas, F.E. Close, Phys. Rev. D 78, 034007 (2008)

    ADS  Google Scholar 

  109. M.P. Valderramma, Phys. Rev. D 85, 114037 (2012)

    ADS  Google Scholar 

  110. A. De Rujula, H. Georgi, S.L. Glashow, Phys. Rev. Lett 38, 317 (1977)

    ADS  Google Scholar 

  111. F. Giacosa, M. Piotrowska, S. Coito, Int. J. Mod. Phys. A 34, 29 (2019)

    Google Scholar 

  112. K. Abe et al., (Belle Collaboration). Phys. Rev. Lett. 98, 082001 (2007)

  113. R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 118, 022003 (2017). arXiv:1606.07895

  114. R. Aaij et al. [LHCb Collaboration], Phys. Rev. D 95, 012002 (2017). arXiv:1606.07898

  115. W. Chen, S.L. Zhu, Phys. Rev. D 83, 034010 (2011)

    ADS  Google Scholar 

  116. R. Zhu, Phys. Rev. D 94, 054009 (2016)

    ADS  Google Scholar 

  117. H.-X. Chen, L. Maiani, A.D. Polosa, V. Riquer, Eur. Phys. J. C 75, 550 (2015)

    ADS  Google Scholar 

  118. S.S. Agaev, K. Azizi, H. Sundu, Phys. Rev. D 96, 034026 (2017)

    ADS  Google Scholar 

  119. F. Giacosa, G. Pagliara, Phys. Rev. C 76, 065204 (2007). arXiv:0707.3594 [hep-ph]

    ADS  Google Scholar 

  120. F. Giacosa, T. Wolkanowski, Mod. Phys. Lett. A 27, 1250229 (2012). arXiv:1209.2332 [hep-ph]

    ADS  Google Scholar 

  121. L. Maiani, A.D. Polosa, V. Riquer, Phys, Rev, D 100, 014002 (2019)

    ADS  MathSciNet  Google Scholar 

  122. L. Maiani, A.D. Polosa, V. Riquer, Phys. Rev. D 100, 074002 (2019)

    ADS  Google Scholar 

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Acknowledgements

The authors would like to thank Francesco Giacosa for useful information. This work was supported by Kosar University of Bojnord with the Grant number (No. 9809011444).

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Ghalenovi, Z., Sorkhi, M.M. Spectroscopy of hidden-charm tetraquarks in diquark model. Eur. Phys. J. Plus 135, 399 (2020). https://doi.org/10.1140/epjp/s13360-020-00343-6

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