Mass spectra for $qc\overline{q}\overline{c}$, $sc\overline{s}\overline{c}$, $qb\overline{q}\overline{b}$, $sb\overline{s}\overline{b}$ tetraquark states with ${J}^{PC}={0}^{++}$ and ${2}^{++}$

Mass spectra for $q c \bar{q} \bar{c}$ , $s c \bar{s} \bar{c}$ , $q b \bar{q} \bar{b}$ , $s b \bar{s} \bar{b}$ tetraquark states with $J^{P C} = 0^{+ +}$ and $2^{+ +}$

Wei Chen, Hua-Xing Chen, Xiang Liu, T. G. Steele, and Shi-Lin Zhu

Phys. Rev. D 96, 114017 – Published 15 December 2017

Abstract

We have studied the mass spectra of the hidden-charm/bottom $q c \bar{q} \bar{c}$ , $s c \bar{s} \bar{c}$ and $q b \bar{q} \bar{b}$ , $s b \bar{s} \bar{b}$ tetraquark states with $J^{P C} = 0^{+ +}$ and $2^{+ +}$ in the framework of QCD sum rules. We construct ten scalar and four tensor interpolating currents in a systematic way and calculate the mass spectra for these tetraquark states. The $X^{*} (3860)$ may be either an isoscalar tetraquark state or $χ_{c 0} (2 P)$ . If the $X^{*} (3860)$ is a tetraquark candidate, our results prefer the $0^{+ +}$ option over the $2^{+ +}$ one. The $X (4160)$ may be classified as either the scalar or tensor $q c \bar{q} \bar{c}$ tetraquark state, while the $X (3915)$ favors a $0^{+ +} q c \bar{q} \bar{c}$ or $s c \bar{s} \bar{c}$ tetraquark assignment over the tensor one. The $X (4350)$ cannot be interpreted as a $s c \bar{s} \bar{c}$ tetraquark with either $J^{P C} = 0^{+ +}$ or $2^{+ +}$ .

Received 5 July 2017

DOI:https://doi.org/10.1103/PhysRevD.96.114017

Physics Subject Headings (PhySH)

Exotic mesons

Mass Parity Spin

Particles & Fields

Authors & Affiliations

Wei Chen^1,2, Hua-Xing Chen^3,*, Xiang Liu^4,5,†, T. G. Steele^1,‡, and Shi-Lin Zhu^6,7,8,§

¹School of Physics, Sun Yat-Sen University, Guangzhou 510275, China
²Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5E2, Canada
³School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the Cosmos, Beihang University, Beijing 100191, China
⁴School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China
⁵Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China
⁶School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
⁷Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
⁸Center of High Energy Physics, Peking University, Beijing 100871, China

^*hxchen@buaa.edu.cn
^†xiangliu@lzu.edu.cn
^‡tom.steele@usask.ca
^§zhusl@pku.edu.cn

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Vol. 96, Iss. 11 — 1 December 2017

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Physical Review D

covering particles, fields, gravitation, and cosmology

Mass spectra for $q c \bar{q} \bar{c}$ , $s c \bar{s} \bar{c}$ , $q b \bar{q} \bar{b}$ , $s b \bar{s} \bar{b}$ tetraquark states with $J^{P C} = 0^{+ +}$ and $2^{+ +}$

Wei Chen, Hua-Xing Chen, Xiang Liu, T. G. Steele, and Shi-Lin Zhu

Phys. Rev. D 96, 114017 – Published 15 December 2017

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Physical Review D

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Mass spectra for qcq¯c¯, scs¯c¯, qbq¯b¯, sbs¯b¯ tetraquark states with JPC=0++ and 2++

Wei Chen, Hua-Xing Chen, Xiang Liu, T. G. Steele, and Shi-Lin Zhu

Phys. Rev. D 96, 114017 – Published 15 December 2017

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Mass spectra for $q c \bar{q} \bar{c}$ , $s c \bar{s} \bar{c}$ , $q b \bar{q} \bar{b}$ , $s b \bar{s} \bar{b}$ tetraquark states with $J^{P C} = 0^{+ +}$ and $2^{+ +}$