Research PapersNo Access

Analysis of the $X$ $X$ (3842) as a $D$ $D$ -wave charmonium meson

Guo-Liang Yu

http://orcid.org/0000-0002-5956-2556

Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, P. R. China

E-mail Address: yuguoliang2011@163.com

Corresponding author.

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Zhi-Gang Wang

Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, P. R. China

E-mail Address: zgwang@aliyun.com

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https://doi.org/10.1142/S0217751X19501513Cited by:6 (Source: Crossref)

Abstract

In this paper, we assign the newly reported state $X (3842)$ $X (3842)$ to be a $D$ $D$ -wave $\bar{c} c$ $\bar{c} c$ meson, and study its mass and decay constant with QCD sum rules by considering the contributions of vacuum condensates up to dimension-6 in the operator product expansion. The predicted mass $M_{X (3842)} = (3.84 4_{- 0.0823}^{+ 0.0675} \pm 0.020)$ $M_{X (3842)} = (3.84 4_{- 0.0823}^{+ 0.0675} \pm 0.020)$ GeV is in agreement with the experimental data $M_{X (3842)} = (3842.71 \pm 0.16 \pm 0.12)$ $M_{X (3842)} = (3842.71 \pm 0.16 \pm 0.12)$ MeV from the LHCb collaboration. This result supports assigning $X (3842)$ $X (3842)$ as the $1^{3} D_{3}$ $1^{3} D_{3}$ charmonium meson. In this case, its predicted strong decay width with the $^{3} P_{0}$ $^{3} P_{0}$ decay model is compatible with the experimental data.

Keywords:

PACS: 13.30.Eg, 14.20.Lg, 14.20.Mr

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References

1. J. J. Aubert et al., J. Phys. Rev. Lett. 33, 1404 (1974). Web of Science, ADS, Google Scholar
2. J. E. Augustin et al., Phys. Rev. Lett. 33, 1406 (1974). Web of Science, ADS, Google Scholar
3. Belle Collab. (S. K. Choi et al.), Phys. Rev. Lett. 91, 262001 (2003). Web of Science, Google Scholar
4. Particle Data Group (M. Tanabashi et al.), Phys. Rev. D 98, 030001 (2018). Web of Science, Google Scholar
5. C. Y. Wong, Phys. Rev. C 69, 055202 (2004). Web of Science, ADS, Google Scholar
6. X.-W. Kang and J. A. Oller, arXiv:1612.08420 [hep-ph]. Google Scholar
7. B. A. Li, Phys. Lett. B 605, 306 (2005). Web of Science, ADS, Google Scholar
8. Y. Cui, X. L. Chen, W. Z. Deng and S. L. Zhu, High Energy Phys. Nucl. Phys. 31, 7 (2007). Google Scholar
9. C. Meng, H. Han and K.-T. Chao, arXiv:1304.6710 [hep-ph]. Google Scholar
10. C. Meng, H. Han and K.-T. Chao, Phys. Rev. D 87, 074035 (2013). Web of Science, ADS, Google Scholar
11. Belle Collab. (K. Chilikin), Phys. Rev. D 95, 112003 (2017). Web of Science, Google Scholar
12. BABAR Collab. (J. P. Lees et al.), Phys. Rev. D 86, 072002 (2012). Web of Science, Google Scholar
13. Bell Collab. (S. Uehara et al.), Phys. Rev. Lett. 96, 082003 (2006). Web of Science, Google Scholar
14. BABAR Collab. (B. Aubert et al.), Phys. Rev. D 81, 092003 (2010). Web of Science, Google Scholar
15. Bell Collab. (K. Abe), Phys. Rev. Lett. 98, 082001 (2007). Web of Science, Google Scholar
16. Bell Collab. (P. Pakhlov), Phys. Rev. Lett. 100, 202001 (2008). Web of Science, Google Scholar
17. P. Colangelo, F. De Fazio and S. Nicotri, Phys. Lett. B 650, 166 (2007). Web of Science, ADS, Google Scholar
18. F. De Fazio, Phys. Rev. D 79, 054015 (2009). Web of Science, ADS, Google Scholar
19. V. V. Braguta, A. K. Likhoded and A. V. Luchinsky, Phys. Rev. D 74, 094004 (2006). Web of Science, ADS, Google Scholar
20. X. Liu, Z.-G. Luo and Z.-F. Sun, Phys. Rev. Lett. 104, 122001 (2010). Web of Science, ADS, Google Scholar
21. F. E. Close and P. R. Page, Phys. Lett. B 578, 119 (2004). Web of Science, ADS, Google Scholar
22. M. B. Voloshin, Phys. Lett. B 579, 316 (2004). Web of Science, ADS, Google Scholar
23. E. S. Swanson, Phys. Lett. B 588, 189 (2004). Web of Science, ADS, Google Scholar
24. N. A. Tornqvist, Phys. Lett. B 590, 209 (2004). Web of Science, ADS, Google Scholar
25. M. T. Al Fiky, F. Gabbiani and A. A. Petrov, Phys. Lett. B 640, 238 (2006). Web of Science, ADS, Google Scholar
26. A. B. Larionov, M. Strikman and M. Bleicher, Phys. Lett. B 749, 35 (2015). Web of Science, ADS, Google Scholar
27. Z. G. Wang and T. Huang, Eur. Phys. J. C 74, 2891 (2014). Web of Science, ADS, Google Scholar
28. A. Esposito, A. Pilloni and A. D. Polosa, Phys. Rep. 668, 1 (2017). Web of Science, ADS, Google Scholar
29. Z. G. Wang, Eur. Phys. J. A 53, 192 (2017). Web of Science, ADS, Google Scholar
30. R. D. Matheus, S. Narison, M. Nielsen and J. M. Richard, Phys. Rev. D 75, 014005 (2007). Web of Science, ADS, Google Scholar
31. T. W. Chiu and T. H. Hsieh, Phys. Lett. B 646, 95 (2007). Web of Science, ADS, Google Scholar
32. S. Dubnicka, A. Z. Dubnickova, M. A. Ivanov and J. G. Korner, Phys. Rev. D 81, 114007 (2010). Web of Science, ADS, Google Scholar
33. Z. G. Wang and T. Huang, Phys. Rev. D 89, 054019 (2014). Web of Science, ADS, Google Scholar
34. R. M. Albuquerque, J. M. Dias, M. Nielsen and C. M. Zanetti, Phys. Rev. D 89, 076007 (2014). Web of Science, ADS, Google Scholar
35. F. Fernandez, P. G. Ortega and D. R. Entem, AIP Conf. Proc. 1606, 168 (2014). Google Scholar
36. E. J. Eichten, K. Lane and C. Quigg, Phys. Rev. Lett. 89, 162002 (2002). Web of Science, ADS, Google Scholar
37. E. J. Eichten, K. Lane and C. Quigg, Phys. Rev. D 73, 014014 (2006). Web of Science, ADS, Google Scholar
38. T. Barnes and S. Godfrey, Phys. Rev. D 69, 054008 (2004). Web of Science, ADS, Google Scholar
39. T. Barnes, S. Godfrey and E. S. Swanson, Phys. Rev. D 72, 054026 (2005). Web of Science, ADS, Google Scholar
40. S. F. Radford and W. W. Repko, Phys. Rev. D 75, 074031 (2007). Web of Science, ADS, Google Scholar
41. S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985). Web of Science, ADS, Google Scholar
42. E. J. Eichten and F. Feinberg, Phys. Rev. D 23, 2724 (1981). Web of Science, ADS, Google Scholar
43. L. P. Fulcher, Phys. Rev. D 44, 2079 (1991). Web of Science, ADS, Google Scholar
44. S. N. Gupta, S. F. Radford and W. W. Repko, Phys. Rev. D 34, 201 (1986). Web of Science, ADS, Google Scholar
45. D. Ebert, R. N. Faustov and V. O. Galkin, Phys. Rev. D 67, 014027 (2003). Web of Science, ADS, Google Scholar
46. J. Zeng, J. W. Van Orden and W. Roberts, Phys. Rev. D 52, 5229 (1995). Web of Science, ADS, Google Scholar
47. R. Aaij et al., arXiv:1903.12240 [hep-ex]. Google Scholar
48. M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B 147, 385 (1979). Web of Science, ADS, Google Scholar
49. M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B 147, 448 (1979). Web of Science, ADS, Google Scholar
50. L. J. Reinders, H. Rubinstein and S. Yazaki, Phys. Rep. 127, 1 (1985). Web of Science, ADS, Google Scholar
51. Z. G. Wang, Eur. Phys. J. C 75, 427 (2015). Web of Science, ADS, Google Scholar
52. S. Narison, Nucl. Part. Phys. Proc. 270, 143 (2016). Google Scholar
53. H. Sundu and K. Azizi, Eur. Phys. J. A 48, 81 (2012). Web of Science, ADS, Google Scholar
54. K. Azizi, H. Sundu, J. Y. Sungu and N. Yinelek, Phys. Rev. D 88, 036005 (2013). Web of Science, ADS, Google Scholar
55. K. Azizi, Y. Sarac and H. Sundu, Eur. Phys. J. C 74, 3106 (2014). Web of Science, Google Scholar
56. H. A. Alhendi, T. M. Aliev and M. Savci, J. High Energy Phys. 1604, 050 (2016). ADS, Google Scholar
57. Z. G. Wang and Z. Y. Di, Eur. Phys. J. A 50, 143 (2014). Web of Science, ADS, Google Scholar
58. Z. G. Wang, Eur. Phys. J. C 74, 3123 (2014). Web of Science, Google Scholar
59. Z. Y. Li, Z. G. Wang and G. L. Yu, Mod. Phys. Lett. A 31, 1650036 (2016). Link, Web of Science, ADS, Google Scholar
60. H. G. Blundell, arXiv:hep-ph/9608473. Google Scholar
61. H. G. Blundell and S. Godfrey, Phys. Rev. D 53, 3700 (1996). Web of Science, ADS, Google Scholar
62. H. G. Blundell, S. Godfrey and B. Phelps, Phys. Rev. D 53, 3712 (1996). Web of Science, ADS, Google Scholar
63. H. Q. Zhou, R. G. Ping and B. S. Zou, Phys. Lett. B 611, 123 (2005). Web of Science, ADS, Google Scholar
64. D.-M. Li and S. Zhou, Phys. Rev. D 78, 054013 (2008). Web of Science, ADS, Google Scholar
65. D.-M. Li and E. Wang, Eur. Phys. J. C 63, 297 (2009). Web of Science, ADS, Google Scholar
66. D.-M. Li, P.-F. Ji and B. Ma, Eur. Phys. J. C 71, 1582 (2011). Web of Science, ADS, Google Scholar
67. B. Zhang, X. Liu, W. Z. Deng and S. L. Zhu, Eur. Phys. J. C 50, 617 (2007). Web of Science, ADS, Google Scholar
68. Y. Sun, Q. T. Song, D. Y. Chen, X. Liu and S. L. Zhu, Phys. Rev. D 89, 054026 (2014). Web of Science, ADS, Google Scholar
69. G.-L. Yu, Z.-G. Wang, Z.-Y. Li and G.-Q. Meng, Chin. Phys. C 39, 063101 (2015). Web of Science, Google Scholar
70. G.-L. Yu, Z.-G. Wang and Z.-Y. Li, Phys. Rev. D 94, 074024 (2016). Web of Science, ADS, Google Scholar
71. J. J. Zhu and M. L. Yan, arXiv:hep-ph/9903349. Google Scholar
72. S. Narison, Phys. Lett. B 706, 412 (2012). Web of Science, ADS, Google Scholar
73. S. Narison, Phys. Lett. B 707, 259 (2012). Web of Science, ADS, Google Scholar
74. P. Colangelo and A. Khodjamirian, arXiv:hep-ph/0010175. Google Scholar
75. Z. G. Wang, Nucl. Phys. A 957, 85 (2017). Web of Science, ADS, Google Scholar
76. L. Micu, Nucl. Phys. B 10, 521 (1969). Web of Science, ADS, Google Scholar
77. R. Carlitz and M. Kislinger, Phys. Rev. D 2, 336 (1970). Web of Science, ADS, Google Scholar
78. E. W. Colglazier and J. L. Rosner, Nucl. Phys. B 27, 349 (1971). Web of Science, ADS, Google Scholar
79. W. P. Petersen and J. L. Rosner, Phys. Rev. D 6, 820 (1972). ADS, Google Scholar
80. A. Le Yaouanc, L. Oliver, O. Pene and J.-C. Raynal, Phys. Rev. D 8, 2223 (1973). Web of Science, ADS, Google Scholar
81. A. Le Yaouanc, L. Oliver, O. Pene and J.-C. Raynal, Phys. Rev. D 9, 1415 (1974). Web of Science, ADS, Google Scholar
82. A. Le Yaouanc, L. Oliver, O. Pene and J.-C. Raynal, Phys. Rev. D 11, 1272 (1975). Web of Science, ADS, Google Scholar
83. A. Le Yaouanc, L. Oliver, O. Pene and J.-C. Raynal, Phys. Lett. B 71, 397 (1977). Web of Science, ADS, Google Scholar
84. A. Le Yaouanc, L. Oliver, O. Pene and J.-C. Raynal, Phys. Lett. B 72, 57 (1977). Web of Science, ADS, Google Scholar
85. E. S. Ackleh, T. Barnes and E. S. Swanson, Phys. Rev. D 54, 6811 (1996). Web of Science, ADS, Google Scholar
86. T. Barnes, N. Black and P. R. Page, Phys. Rev. D 68, 054014 (2003). Web of Science, ADS, Google Scholar
87. J. Ferretti, G. Galata and E. Santopinto, Phys. Rev. C 88, 015207 (2013). Web of Science, ADS, Google Scholar
88. P. G. Ortega, J. Segovia, D. R. Entem and F. Fernandez, arXiv:1706.02639. Google Scholar
89. J. Ferretti, G. Galata and E. Santopinto, Phys. Rev. D 90, 054010 (2014). Web of Science, ADS, Google Scholar
90. J. Ferretti and E. Santopinto, Phys. Rev. D 90, 094022 (2014). Web of Science, ADS, Google Scholar
91. F. E. Close and E. S. Swanson, Phys. Rev. D 72, 094004 (2005). Web of Science, ADS, Google Scholar
92. F. E. Close, C. E. Thomas, O. Lakhina and E. S. Swanson, Phys. Lett. B 647, 159 (2007). Web of Science, ADS, Google Scholar
93. J. Segovia, D. R. Entem and F. Fernandez, Phys. Lett. B 715, 322 (2012). Web of Science, ADS, Google Scholar
94. Z. Zhao, D.-D. Ye and A. Zhang, Phys. Rev. D 95, 114024 (2017). Web of Science, ADS, Google Scholar
95. X.-W. Liu, H.-W. Ke, X. Liu and X.-Q. Li, Eur. Phys. J. C 76, 549 (2016). Web of Science, ADS, Google Scholar
96. R. Kokoski and N. Isgur, Phys. Rev. D 35, 907 (1987). Web of Science, ADS, Google Scholar
97. S. Godfrey and R. Kokoski, Phys. Rev. D 43, 1679 (1991). Web of Science, ADS, Google Scholar
98. Y.-C. Yang, Z. Xia and J. Ping, Phys. Rev. D 81, 094003 (2010). Web of Science, ADS, Google Scholar