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Analysis of the excited Ωc states as the $\tfrac{1}{2}$± pentaquark states with QCD sum rules
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Hui-Juan Wang,Zun-Yan Di,Zhi-Gang Wang
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Table 1. The optimal energy scale μ, Borel parameter T2, continuum threshold parameter s0 and pole contributions for the charmed pentaquark states.
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| JP | μ(GeV) | T2 (GeV2) | $\sqrt{{s}_{0}}(\mathrm{GeV})$ | Pole |
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${susc}{\bar{u}}_{1}$ | ${\tfrac{1}{2}}^{-}$ | 2.5 | 1.9–2.3 | 3.6 ± 0.1 | (40−68)% | | | 1.0 | 2.8−3.2 | 4.6 ± 0.1 | (41−64)% | | | $\overline{1.0}$ | 2.8−3.2 | 4.5 ± 0.1 | (39−62)% |
| ${susc}{\bar{u}}_{2}$ | ${\tfrac{1}{2}}^{-}$ | 2.6 | 2.0−2.4 | 3.7 ± 0.1 | (37−66)% | | | 1.0 | 2.7−3.1 | 4.6 ± 0.1 | (40−63)% | | | $\overline{1.0}$ | 2.6−3.0 | 4.5 ± 0.1 | (41−65)% |
| ${susc}{\bar{u}}_{1}$ | ${\tfrac{1}{2}}^{+}$ | 4.3 | 3.3−3.7 | 5.2 ± 0.1 | (43−63)% | | | 1.0 | 3.4−3.8 | 5.3 ± 0.1 | (40−61)% | | | $\overline{1.0}$ | 3.4−3.8 | 5.3 ± 0.1 | (42−63)% |
| ${susc}{\bar{u}}_{2}$ | ${\tfrac{1}{2}}^{+}$ | 4.3 | 3.1−3.5 | 5.2 ± 0.1 | (40−61)% | | | 1.0 | 3.2−3.6 | 5.3 ± 0.1 | (41−62)% | | | $\overline{1.0}$ | 3.3−3.7 | 5.3 ± 0.1 | (41−62)% |
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