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Mass spectra for $qcqc$, $scsc$, $qbqb$, $sbsb$ tetraquark states with $J^PC=0^++$ and $2^++$

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(2017)cite arxiv:1706.09731Comment: 15 pages, 4 figures, 5 tables, suggestions and comments welcome.
DOI: 10.1103/PhysRevD.96.114017

Abstract

We have studied the mass spectra of the hidden-charm/bottom $qcqc$, $scsc$ and $qbqb$, $sbsb$ tetraquark states with $J^PC=0^++$ 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 $X^\ast(3860)$ may be either an isoscalar tetraquark state or $\chi_c0(2P)$. If the $X^\ast(3860)$ 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 $qcqc$ tetraquark state while the $X(3915)$ favors a $0^++$ $qcqc$ or $scsc$ tetraquark assignment over the tensor one. The $X(4350)$ can not be interpreted as a $scsc$ tetraquark with either $J^PC=0^++$ or $2^++$.

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