Letter
Open Access

Decoding the nature of $Z_{c s} (3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory

Bo Wang ^1,2, Lu Meng ^3,*, and Shi-Lin Zhu^1,2,†

¹Center of High Energy Physics, Peking University, Beijing 100871, China
²School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
³Ruhr University Bochum, Faculty of Physics and Astronomy, Institute for Theoretical Physics II, D-44870 Bochum, Germany

^*lu.meng@rub.de
^†zhusl@pku.edu.cn

Phys. Rev. D 103, L021501 – Published 7 January, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L021501

Abstract

We study the newly observed charmoniumlike state $Z_{c s} (3985)$ in the framework of chiral effective field theory. The interaction kernel of the ${\bar{D}}_{s} D^{*} / {\bar{D}}_{s}^{*} D$ system is calculated up to the next-to-leading order with the explicit chiral dynamics. With the fitted parameters extracted from the $Z_{c} (3900)$ data as inputs, the mass, width, and event distributions of the $Z_{c s} (3985)$ are very consistent with the experimental measurements. Our studies strongly support the $Z_{c s} (3985)$ as the partner of the $Z_{c} (3900)$ in the ${SU (3)}_{f}$ symmetry and the ${\bar{D}}_{s} D^{*} / {\bar{D}}_{s}^{*} D$ molecular resonance with the same dynamical origin as the other charged heavy quarkoniumlike states. We precisely predict the resonance parameters of the unobserved states in ${\bar{D}}_{s}^{*} D^{*}$ , $B_{s}^{*} \bar{B} / B_{s} {\bar{B}}^{*}$ , and $B_{s}^{*} {\bar{B}}^{*}$ systems, and establish a complete spectrum of the charged charmoniumlike and bottomoniumlike states with the $I (J^{P})$ quantum numbers $1 (1^{+})$ and $\frac{1}{2} (1^{+})$ , respectively.

Physics Subject Headings (PhySH)

Article Text

References (39)

M. Ablikim et al. (BESIII Collaboration), arXiv:2011.07855.
P. A. Zyla et al. (Particle Data Group), Prog. Theor. Exp. Phys. (2020), 083C01.
L. Meng, B. Wang, and S. L. Zhu, arXiv:2011.08656.
Z. Yang, X. Cao, F. K. Guo, J. Nieves, and M. P. Valderrama, arXiv:2011.08725.
J. Z. Wang, Q. S. Zhou, X. Liu, and T. Matsuki, arXiv:2011.08628.
B. D. Wan and C. F. Qiao, arXiv:2011.08747.
M. C. Du, Q. Wang, and Q. Zhao, arXiv:2011.09225.
R. Chen and Q. Huang, arXiv:2011.09156.
X. Cao, J. P. Dai, and Z. Yang, arXiv:2011.09244.
Z. F. Sun and C. W. Xiao, arXiv:2011.09404.
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 112, 022001 (2014).
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 115, 182002 (2015).
A. Garmash et al. (Belle Collaboration), Phys. Rev. Lett. 116, 212001 (2016).
N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C. P. Shen, C. E. Thomas, A. Vairo, and C. Z. Yuan, Phys. Rep. 873, 1 (2020).
B. Wang, L. Meng, and S. L. Zhu, Phys. Rev. D 102, 114019 (2020).
H. X. Chen, W. Chen, X. Liu, and S. L. Zhu, Phys. Rep. 639, 1 (2016).
F. K. Guo, C. Hanhart, U. G. Meißner, Q. Wang, Q. Zhao, and B. S. Zou, Rev. Mod. Phys. 90, 015004 (2018).
Y. R. Liu, H. X. Chen, W. Chen, X. Liu, and S. L. Zhu, Prog. Part. Nucl. Phys. 107, 237 (2019).
R. F. Lebed, R. E. Mitchell, and E. S. Swanson, Prog. Part. Nucl. Phys. 93, 143 (2017).
A. Esposito, A. Pilloni, and A. D. Polosa, Phys. Rep. 668, 1 (2017).
E. Braaten and H.-W. Hammer, Phys. Rep. 428, 259 (2006).
V. Bernard, N. Kaiser, and U. G. Meißner, Int. J. Mod. Phys. E 04, 193 (1995).
E. Epelbaum, H. W. Hammer, and U. G. Meißner, Rev. Mod. Phys. 81, 1773 (2009).
R. Machleidt and D. R. Entem, Phys. Rep. 503, 1 (2011).
E. Epelbaum, H. Krebs, and P. Reinert, Front. Phys. 8, 98 (2020).
U. G. Meißner, Phys. Scr. 91, 033005 (2016).
H.-W. Hammer, S. König, and U. van Kolck, Rev. Mod. Phys. 92, 025004 (2020).
D. Rodriguez Entem, R. Machleidt, and Y. Nosyk, Front. Phys. 8, 57 (2020).
S. Weinberg, Phys. Lett. B 251, 288 (1990).
S. Weinberg, Nucl. Phys. B363, 3 (1991).
B. Wang, L. Meng, and S. L. Zhu, J. High Energy Phys. 11 (2019) 108.
L. Meng, B. Wang, G. J. Wang, and S. L. Zhu, Phys. Rev. D 100, 014031 (2019).
B. Wang, L. Meng, and S. L. Zhu, Phys. Rev. D 101, 034018 (2020).
M. Z. Wang, Recent results on exotic hadrons at LHCb.
M. B. Wise, Phys. Rev. D 45, R2188 (1992).
B. Wang, Z. W. Liu, and X. Liu, Phys. Rev. D 99, 036007 (2019).
E. Epelbaum, W. Glockle, and U. G. Meissner, Nucl. Phys. A747, 362 (2005).
J. Golak et al., Eur. Phys. J. A 43, 241 (2010).
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 92, 092006 (2015).

Phys. Rev. D 103, L021501– Published 7 January, 2021

Vol. 103, Iss. 2 — 15 January 2021

Received 24 November 2020
Accepted 10 December 2020

DOI: https://doi.org/10.1103/PhysRevD.103.L021501

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physical Review D

Reuse & Permissions

Export citation

Export citation

Decoding the nature of $Z_{c s} (3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory

Abstract

Physics Subject Headings (PhySH)

Article Text

References (39)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Decoding the nature of Zcs(3985) and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory

Abstract

Physics Subject Headings (PhySH)

Article Text

References (39)

Decoding the nature of $Z_{c s} (3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory