Research PapersNo Access

Analysis of the strong vertices of $Σ_{c} N D^{}$ and $Σ_{b} N B^{}$ in QCD sum rules

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.

Search for more papers by this author

Rong-Hua Guan

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

Search for more papers by this author

, and

Zhi-Gang Wang

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

E-mail Address: zgwang@aliyun.com

Search for more papers by this author

https://doi.org/10.1142/S0217751X18502172Cited by:2 (Source: Crossref)

Abstract

The strong coupling constant is an important parameter that can help us understand the strong decay behaviors of baryons. In our previous work, we have analyzed the strong vertices $Σ_{c}^{*} N D$ , $Σ_{b}^{*} N B$ , $Σ_{c} N D$ and $Σ_{b} N B$ in QCD sum rules. Following these works, we further analyze the strong vertices $Σ_{c} N D^{*}$ and $Σ_{b} N B^{*}$ using the three-point QCD sum rules under Dirac structures $q / p / γ_{α}$ and $q / p / p_{α}$ . In this work, we first calculate strong form-factors considering contributions of the perturbative part and the condensate terms $〈 \bar{q} q 〉$ , $〈 \frac{α_{s}}{π} G G 〉$ and $〈 \bar{q} g_{s} σ G q 〉$ . Then, these form-factors are used to fit into analytical functions. According to these functions, we finally determine the values of the strong coupling constants for these two vertices $Σ_{c} N D^{*}$ and $Σ_{b} N B^{*}$ .

Keywords:

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

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. Particle Data Group (C. Patrignani et al.), Chin. Phys. C 40, 100001 (2016). Crossref, Web of Science, ADS, Google Scholar
2. M. Basile et al., Lett. Nuovo Cimento 31, 97 (1981). Crossref, Web of Science, Google Scholar
3. CDF Collab. (T. Aaltonen et al.), Phys. Rev. Lett. 99, 202001 (2007). Crossref, Web of Science, Google Scholar
4. LHCb Collab. (R. Aaij et al.), J. High Energy Phys. 2016, 132 (2016). Google Scholar
5. LHCb Collab. (R. Aaij et al.), Phys. Rev. Lett. 109, 172003 (2012). Crossref, Web of Science, Google Scholar
6. LHCb Collab. (R. Aaij et al.), Phys. Rev. Lett. 114, 062004 (2015). Crossref, Web of Science, Google Scholar
7. LHCb Collab. (R. Aaij et al.), Phys. Rev. Lett. 121, 072002 (2018). Crossref, Web of Science, Google Scholar
8. LHCb Collab. (R. Aaij et al.), Phys. Rev. Lett. 119, 112001 (2017). Crossref, Web of Science, Google Scholar
9. A. Faessler et al., Phys. Rev. D 73, 094013 (2006). Crossref, Web of Science, ADS, Google Scholar
10. B. Patel, A. K. Rai and P. C. Vinodkumar, J. Phys. G 35, 065001 (2008). Crossref, Web of Science, Google Scholar
11. B. Patel, A. K. Rai and P. C. Vinodkumar, J. Phys. Conf. Ser. 110, 122010 (2008). Google Scholar
12. X. Liu, Z. G. Luo and Z. F. Sun, Phys. Rev. Lett. 104, 122001 (2010). Crossref, Web of Science, ADS, Google Scholar
13. J. He and X. Liu, Phys. Rev. D 82, 114029 (2010). Crossref, Web of Science, ADS, Google Scholar
14. X. Liu, H. X. Chen, Y. R. Liu, A. Hosaka and S. L. Zhu, Phys. Rev. D 77, 014031 (2008). Crossref, Web of Science, ADS, Google Scholar
15. H. X. Chen et al., Phys. Rev. D 91, 054034 (2015). Crossref, Web of Science, ADS, Google Scholar
16. H. X. Chen et al., Phys. Rev. D 94, 114016 (2016). Crossref, Web of Science, ADS, Google Scholar
17. C. Mu et al., Chin. Phys. C 38, 113101 (2014). Crossref, Web of Science, Google Scholar
18. W. Chen and S. L. Zhu, Phys. Rev. D 81, 105018 (2010). Crossref, Web of Science, ADS, Google Scholar
19. W. Chen et al., Phys. Rev. D 88, 045027 (2013). Crossref, Web of Science, ADS, Google Scholar
20. J. R. Zhang and M. Q. Huang, Phys. Rev. D 78, 094015 (2008). Crossref, Web of Science, ADS, Google Scholar
21. J. R. Zhang and M. Q. Huang, Phys. Lett. B 674, 28 (2009). Crossref, Web of Science, ADS, Google Scholar
22. J. R. Zhang and M. Q. Huang, Chin. Phys. C 33, 1385 (2009). Crossref, Web of Science, ADS, Google Scholar
23. M. Karliner and H. J. Lipkin, Phys. Lett. B 660, 539 (2008). Crossref, Web of Science, ADS, Google Scholar
24. M. Karliner and J. L. Rosner, Phys. Rev. D 90, 094007 (2014). Crossref, Web of Science, ADS, Google Scholar
25. F. S. Navarra, M. Nielsen and K. Tsushima, Phys. Lett. B 606, 335 (2005). Crossref, Web of Science, ADS, Google Scholar
26. A. Khodjamirian, Th. Mannel, N. Offen and Y. M. Wang, Phys. Rev. D 83, 094031 (2011). Crossref, Web of Science, ADS, Google Scholar
27. T. M. Aliev, K. Azizi and M. Savcı, J. Phys. G 40, 065003 (2013). Crossref, Web of Science, Google Scholar
28. T. M. Aliev, K. Azizi and M. Savcı, J. Phys. G 41, 065003 (2014). Crossref, Web of Science, Google Scholar
29. T. M. Aliev, K. Azizi and M. Savcı, J. Phys. Conf. Ser. 556, 012016 (2014). Google Scholar
30. K. Azizi, Y. Sarac and H. Sundu, Phys. Rev. D 90, 114011 (2014). Crossref, Web of Science, ADS, Google Scholar
31. K. Azizi, Y. Sarac and H. Sundu, Nucl. Phys. A 943, 159 (2015). Crossref, Web of Science, ADS, Google Scholar
32. Z. G. Wang, Phys. Rev. C 85, 045204 (2012). Crossref, Web of Science, ADS, Google Scholar
33. Z. G. Wang, Eur. Phys. J. C 71, 1816 (2011). Crossref, Web of Science, ADS, Google Scholar
34. Z. G. Wang, Eur. Phys. J. C 73, 2533 (2013). Crossref, Web of Science, ADS, Google Scholar
35. X. W. Kang and J. A. Oller, arXiv:1612.08420 [hep-ph]. Google Scholar
36. A. Esposito, A. Pilloni and A. D. Polosa, Phys. Rep. 668, 1 (2017), arXiv:1611.07920. Crossref, Web of Science, ADS, Google Scholar
37. Z. G. Wang and J. F. Li, Eur. Phys. J. A 47, 23 (2011). Crossref, Web of Science, ADS, Google Scholar
38. Z. G. Wang, Phys. Rev. D 89, 034017 (2014). Crossref, Web of Science, ADS, Google Scholar
39. F. S. Navarra and M. Nielsen, Phys. Lett. B 443, 285 (1998). Crossref, Web of Science, ADS, Google Scholar
40. A. Khodjamirian et al., J. High Energy Phys. 09, 106 (2011). Crossref, Web of Science, ADS, Google Scholar
41. G. L. Yu, Z. G. Wang and Z. Y. Li, Chin. Phys. C 41, 083104 (2017), arXiv:1608.03460. Crossref, Web of Science, Google Scholar
42. G. L. Yu, Z. G. Wang and Z. Y. Li, Int. J. Mod. Phys. A 32, 1750203 (2017). Link, Web of Science, ADS, Google Scholar
43. K. Azizi, Y. Sarac and H. Sundu, Eur. Phys. J. A 52, 114 (2016), arXiv:1510.05432. Crossref, Web of Science, ADS, Google Scholar
44. K. Azizi, Y. Sarac and H. Sundu, Phys. Rev. D 92, 014022 (2015). Crossref, Web of Science, ADS, Google Scholar
45. K. Azizi, Y. Sarac and H. Sundu, arXiv:1501.05084 [hep-ph]. Google Scholar
46. M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B 147, 385 (1979). Crossref, Web of Science, ADS, Google Scholar
47. M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B 147, 448 (1979). Crossref, Web of Science, ADS, Google Scholar
48. L. J. Reinders, H. Rubinstein and S. Yazaki, Phys. Rep. 127, 1 (1985). Crossref, Web of Science, ADS, Google Scholar
49. B. L. Ioffe, Nucl. Phys. B 188, 317 (1981) [Erratum: ibid. 191, 591 (1981)]. Crossref, Web of Science, ADS, Google Scholar
50. V. M. Belyaev and B. L. Ioffe, Sov. Phys. JETP 56, 493 (1982). ADS, Google Scholar
51. M. E. Bracco, M. Chiapparini, F. S. Navarra and M. Nielsen, Phys. Lett. B 659, 559 (2008). Crossref, Web of Science, ADS, Google Scholar
52. M. E. Bracco and M. Nielsen, Phys. Rev. D 82, 034012 (2010). Crossref, Web of Science, ADS, Google Scholar
53. T. M. Aliev and M. Savcı, arXiv:1308.3142 [hep-ph]. Google Scholar
54. T. M. Aliev and M. Savcı, arXiv:1409.5250 [hep-ph]. Google Scholar
55. T. M. Aliev, T. Barakat and M. Savcı, Phys. Rev. C 95, 035210 (2017). Crossref, Web of Science, ADS, Google Scholar
56. T. Doi, Y. Kondo and M. Oka, Phys. Rep. 398, 253 (2004). Crossref, Web of Science, ADS, Google Scholar
57. R. Altmeyer et al., Nucl. Phys. B (Proc. Suppl.) 34, 373 (1994). Crossref, ADS, Google Scholar
58. Z. G. Wang and S. L. Wan, Phys. Rev. D 74, 014017 (2006). Crossref, Web of Science, ADS, Google Scholar
59. A. Cerqueira Jr., B. O. Rodrigues and M. E. Bracco, Nucl. Phys. A 874, 130 (2012). Crossref, Web of Science, ADS, Google Scholar
60. B. O. Rodriguesa, M. E. Braccob and M. Chiapparinia, Nucl. Phys. A 929, 143 (2014). Crossref, Web of Science, ADS, Google Scholar
61. E. Yazici et al., Eur. Phys. J. Plus. 128, 113 (2013). Crossref, Web of Science, Google Scholar
62. R. Khosravi and M. Janbazi, Phys. Rev. D 87, 016003 (2013). Crossref, Web of Science, ADS, Google Scholar
63. R. Khosravi and M. Janbazi, Phys. Rev. D 89, 016001 (2014). Crossref, Web of Science, ADS, Google Scholar
64. P. Pascual and R. Tarrach, Lect. Notes Phys. 194, 1 (1984). Google Scholar
65. L. J. Reinders, H. Rubinstein and S. Yazaki, Phys. Rep. 127, 1 (1985). Crossref, Web of Science, ADS, Google Scholar
66. P. Colangelo and A. Khodjamirian, At the frontier of particle physics, in Handbook of QCD, Vol. 3 (World Scientific, Singapore, 2000), p. 1495, arXiv:hep-ph/0010175. Google Scholar
67. Z. G. Wang, Eur. Phys. J. C 57, 711 (2008). Crossref, Web of Science, ADS, Google Scholar
68. Z. G. Wang, Eur. Phys. J. C 61, 299 (2009). Crossref, Web of Science, ADS, Google Scholar
69. B. L. Ioffe, Prog. Part. Nucl. Phys. 56, 232 (2006). Crossref, Web of Science, ADS, Google Scholar
70. V. M. Belyaev and B. L. Ioffe, Sov. Phys. JETP 57, 716 (1983). ADS, Google Scholar
71. V. M. Belyaev and B. L. Ioffe, Phys. Lett. B 287, 176 (1992). Crossref, Web of Science, ADS, Google Scholar
72. Z. G. Wang, Phys. Rev. C 85, 045204 (2012). Crossref, Web of Science, ADS, Google Scholar
73. K. Azizi and N. Er, Eur. Phys. J. C 74, 2904 (2014). Crossref, Web of Science, ADS, Google Scholar
74. A. Khodjamirian, $B$ and $D$ meson decay constant in QCD, in Proc. of the 3rd Belle Analysis School, 22 September 2010 (KEK, Tsukuba, Japan, 2010). Google Scholar
75. CLEO Collab. (B. I. Eisenstein et al.), Phys. Rev. D 78, 052003 (2008). Crossref, Web of Science, Google Scholar
76. Z. G. Wang and T. Huang, Phys. Rev. C 84, 048201 (2011). Crossref, Web of Science, ADS, Google Scholar
77. A. Kumar, Adv. High Energy Phys. 2014, 549726 (2014). Crossref, Web of Science, Google Scholar
78. A. Hayashigaki, Phys. Lett. B 487, 96 (2000). Crossref, Web of Science, ADS, Google Scholar