The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules

Hayriye Sundu

doi:10.19113/sdufbed.25599

The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules

Abstract

The mass and current-meson coupling constant of the exotic X(3872) state are computed within the two-point sum rule method using the diquark-antidiquark and molecule interpolating currents. In calculations the quark, gluon and mixed vacuum condensates up to ten dimensions are taken into account. Within the diquark-antidiquark picture for the mass of the X(3872) state we obtain mX = 3873 MeV, which is very close to the experimental result of the Belle Collaboration. The molecule model leads for mX to the prediction that slightly exceeds the experimental data. We compare our predictions for the mass and coupling constant with available experimental data and other theoretical results.

Keywords

Exotic hadron,QCD sum rules; Mass; Current-Meson coupling constnat

References

[1] Choi, S.-K., et al. (Belle Collaboration) 2003. Observation of a Narrow Charmoniumlike State in Exclusive B^±→K^± π^+ π^- J/ψ Decays. Physical Review Letters, 91(2003), 262001.
[2] Abazov, V. M., et al. (D0 Collaboration) 2004. Observation and Properties of the X(3872) Decaying to J/ψπ^+ π^- in pp ̅ Collisions at √s=1.96 TeV. Physical Review Letters, 93(2004), 162002.
[3] Acosta, D., et al. (CDF II Collaboration) 2004. Observation of the Narrow State X(3872)→J/ψπ^+ π^- in pp ̅ Collisions at √s=1.96 TeV. Physical Review Letters, 93(2004), 072001.
[4] Aubert, B., et al. (BaBar Collaboration) 2005. Study of the decay and measurement of the branching fraction. Physical Review D, 71(2005), 071103.
[5] Abazov, V. M., et al. (D0 Collaboration) 2016. Evidence for a State. Physical Review Letters, 117(2016), 022003.
[6] Swanson, E. S. 2006. The New Heavy Mesons: A status Report. Physics Reports, 429(2006), 243-305.
[7] Klempt, E., Zaitsev, A. 2007. Glueballs, hybrids, multiquarks: Experimental facts versus QCD inspires concept. Physics Reports, 454(2007), 1-202.
[8] Godfrey, S., Olsen, S. L. 2008. The Exotic XYZ Charmonium-Like Mesons. Annual Review of Nuclear and Particle Science, 58(2008), 51-73.

[9] Voloshin, M. B. 2008. Charmonium. Progress in Particle and Nuclear Physics, 61(2008), 455-511.
[10] Nielsen, M., Navarra F. S., Lee S. H. 2010. New Charmonium States in QCD Sum Rules: a Concise Review. Physics Reports, 497(2010), 41-83.
[11] Faccini, R., Pilloni, A., Polosa, A. D. 2012. Exotic Heavy Quarkonium Spectroscopy: A mini-review. Modern Physics Letters A, 27(2012), 1230025.
[12] Esposito, A. Guerrieri, A. L., Piccinini, F., Pilloni, A., Polosa, A. D. 2014. Four-quark hadrons: An updated review. International Journal of Modern Physics A, 30(2014), 1530002.
[13] Chen, H.-X., Chen, W., Liu, X., Zhu, S.-L. 2016. The hidden-charm pentaquark and teraquark states. Physics Reports, 639(2016), 1-121.
[14] Maiani, L., Piccinini, F., Polosa, A. D., Riquer, V. 2005. Diquark-antiquark states with hidden or open charm and the nature of X(3872). Physical Review D, 71(2005), 014028.
[15] Agaev, S. S., Azizi, K., Sundu, H. 2016. Mass and decay constant of the newly observed exotic X(5568) state .Physical Review D, 93(2016), 074024.
[16] Agaev, S. S., Azizi, K., Sundu, H. 2016. Width of the exotic Xb(5568) state through its strong decay to . Physical Review D, 93(2016), 114007.
[17] Agaev, S. S., Azizi, K., Sundu, H. 2016. Exploring X(5568) as a meson molecule. The European Physical Journal Plus , 131(2016), 351.
[18] Agaev, S. S., Azizi, K., Sundu, H. 2016. Charmed partner of the exotic X(5568) stateand its properties. Physical Review D, 93(2016), 094006.
[19] Olive, K. A., et al. [Particle Data Group Collaboration] 2014. Review of Particle Physics. Chinese Physics C, 38(2014), 090001.
[20] Choi, S.-K., et al. 2011. Bounds on the width, mass difference and other properties of decays. Physical Review D, 84(2011), 052004.
[21] Matheus, R. D., Narison, S., Nielsen M., Richard, J. M. 2007. Can the X(3872) be a 1++ four-quark state? Physical Review D, 75(2007), 014005.
[22] Matheus, R. D., Navarra, F. S., Nielsen, M., Zanetti, C. M. 2009. QCD sum rules for the X(3872) as a mixed molecule-charmonium state. Physical Review D, 80(2009), 056002.
[23] Nielsen, M., Zanetti, C. M. 2010. Radiative decay of the X(3872) as a mixed molecule-charmonium state in QCD sum rules. Physical Review D, 82(2010), 116002.
[24] Wang, Z. G., Huang, T. 2014. Analysis of the X(3872), Zc(3900), and Zc(3885) as axial-vector tetraquarks states with QCD sum rules. Physical Review D, 89(2014), 054019.
[25] Kondo, Y., Morimatsu, O., Nishikawa, T. 2005. Teo-hadron-irreducible QCD sum rule for pentaquark baryon. Physics Letters B, 611(2005), 93-101.
[26] Reinders, L. J., Rubinstein, H., Yazaki, S. 1985. Hadron properties from QCD sum rules. Physics Reports, 127(1985), 1-97.
[27] Agaev, S. S., Azizi, K., Sundu, H. 2016. Strong decays in QCD. Physical Review D, 93(2016), 074002.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Hayriye Sundu This is me

Publication Date

October 23, 2016

Submission Date

September 5, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 20 Number: 3

DOI

https://doi.org/10.19113/sdufbed.25599

IZ

https://izlik.org/JA66AZ75KM

Cite

RIS / Bibtex

APA

Sundu, H. (2016). The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20(3), 448-455. https://doi.org/10.19113/sdufbed.25599

AMA

1.Sundu H. The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules. J. Nat. Appl. Sci. 2016;20(3):448-455. doi:10.19113/sdufbed.25599

Chicago

Sundu, Hayriye. 2016. “The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 (3): 448-55. https://doi.org/10.19113/sdufbed.25599.

EndNote

Sundu H (December 1, 2016) The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 3 448–455.

IEEE

[1]H. Sundu, “The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules”, J. Nat. Appl. Sci., vol. 20, no. 3, pp. 448–455, Dec. 2016, doi: 10.19113/sdufbed.25599.

ISNAD

Sundu, Hayriye. “The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20/3 (December 1, 2016): 448-455. https://doi.org/10.19113/sdufbed.25599.

JAMA

1.Sundu H. The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules. J. Nat. Appl. Sci. 2016;20:448–455.

MLA

Sundu, Hayriye. “The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 20, no. 3, Dec. 2016, pp. 448-55, doi:10.19113/sdufbed.25599.

Vancouver

1.Hayriye Sundu. The Mass and Current-Meson Coupling Constant of the Exotic X(3872) State from QCD Sum Rules. J. Nat. Appl. Sci. 2016 Dec. 1;20(3):448-55. doi:10.19113/sdufbed.25599

Cited By

Mass Spectra and Decay Constants of Heavy-Light Mesons: A Case Study of QCD Sum Rules and Quark Model

Advances in High Energy Physics

https://doi.org/10.1155/2018/8095653

X(3872) and its heavy quark spin symmetry partners in QCD sum rules

The European Physical Journal C

https://doi.org/10.1140/epjc/s10052-018-6382-z