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Revisiting [formula omitted] as a 0+ tetraquark state from QCD sum rules.

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Title: Revisiting [formula omitted] as a 0+ tetraquark state from QCD sum rules.
Authors: Zhang, Jian-Rong1
Source: Physics Letters B. Feb2019, Vol. 789, p432-437. 6p.
Subjects: Quantum chromodynamics, Tetraquark, Scalar field theory, Factorization, Nuclear physics experiments
Abstract: Abstract Stimulated by the renewed observation of D s 0 ⁎ (2317) signal and its updated mass value 2318.3 ± 1.2 ± 1.2 MeV / c 2 in the process e + e − → D s ⁎ + D s 0 ⁎ (2317) − + c. c. by BESIII Collaboration, we devote to reinvestigate D s 0 ⁎ (2317) as a 0 + tetraquark state from QCD sum rules. Technically, four different possible currents are adopted and high condensates up to dimension 12 are included in the operator product expansion (OPE) to ensure the quality of QCD sum rule analysis. In the end, we obtain the mass value 2.37 − 0.36 + 0.50 GeV with the factorization parameter ρ = 1 (or 2.23 − 0.24 + 0.78 GeV with ρ = 3) for the scalar–scalar current, which agrees well with the experimental data of D s 0 ⁎ (2317) and could support its explanation as a 0 + scalar–scalar tetraquark state. The final result for the axial–axial configuration is calculated to be 2.51 − 0.43 + 0.61 GeV with ρ = 1 (or 2.52 + 0.76 − 0.52 GeV with ρ = 3), which is still consistent with the mass of D s 0 ⁎ (2317) considering the uncertainty, and then the possibility of D s 0 ⁎ (2317) as a axial–axial tetraquark state can not be excluded. For the pseudoscalar–pseudoscalar and the vector–vector cases, their unsatisfactory OPE convergence makes that it is of difficulty to find rational work windows to further acquire hadronic masses. [ABSTRACT FROM AUTHOR]
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Abstract:Abstract Stimulated by the renewed observation of D s 0 ⁎ (2317) signal and its updated mass value 2318.3 ± 1.2 ± 1.2 MeV / c 2 in the process e + e − → D s ⁎ + D s 0 ⁎ (2317) − + c. c. by BESIII Collaboration, we devote to reinvestigate D s 0 ⁎ (2317) as a 0 + tetraquark state from QCD sum rules. Technically, four different possible currents are adopted and high condensates up to dimension 12 are included in the operator product expansion (OPE) to ensure the quality of QCD sum rule analysis. In the end, we obtain the mass value 2.37 − 0.36 + 0.50 GeV with the factorization parameter ρ = 1 (or 2.23 − 0.24 + 0.78 GeV with ρ = 3) for the scalar–scalar current, which agrees well with the experimental data of D s 0 ⁎ (2317) and could support its explanation as a 0 + scalar–scalar tetraquark state. The final result for the axial–axial configuration is calculated to be 2.51 − 0.43 + 0.61 GeV with ρ = 1 (or 2.52 + 0.76 − 0.52 GeV with ρ = 3), which is still consistent with the mass of D s 0 ⁎ (2317) considering the uncertainty, and then the possibility of D s 0 ⁎ (2317) as a axial–axial tetraquark state can not be excluded. For the pseudoscalar–pseudoscalar and the vector–vector cases, their unsatisfactory OPE convergence makes that it is of difficulty to find rational work windows to further acquire hadronic masses. [ABSTRACT FROM AUTHOR]
ISSN:03702693
DOI:10.1016/j.physletb.2019.01.001