A survey of heavy–heavy hadronic molecules

Xiang-Kun Dong,Feng-Kun Guo,Bing-Song Zou

Table 3. Pole positions of double-charm-hadron systems with I = 0 and P = +. Eth in the second column is the threshold in MeV. The results as given in the last columns corresponds to using the cutoff Λ = 0.5 (1.0) GeV for equation (17) used to determine the subtraction constant a(μ) in equation (15), respectively. In the last two columns, the first number in the parenthesis refers to the Riemann sheet (RS) where the pole is located while the second number means the distance between the pole position and the corresponding threshold, namely, EB ≡ Eth − Epole, in units of MeV.

System Eth [MeV] JP (RS, EB [MeV]) 0.5 GeV 1.0 GeV DD* 3876 1+ (2, 3.58) (1, 5.96) D*D* 4017 1+ (2, 2.68) (1, 7.07) D1D1 4844 1+ (2, 0.321) (1, 12.2) D1D2 4885 (1, 2, 3)+ (2, 0.277) (1, 12.4) D2D2 4926 (1, 3)+ (2, 0.237) (1, 12.6) ΣcΣc 4907 0+ (1, 2.72) (1, 35.2) ξcξc 4939 1+ (2, 43.4) (2,10.1) ${{\rm{\Sigma }}}_{c}{{\rm{\Sigma }}}_{c}^{* }$ 4972 (1, 2)+ (1, 2.79) (1, 35.1) ${{\rm{\Sigma }}}_{c}^{* }{{\rm{\Sigma }}}_{c}^{* }$ 5036 (0, 2)+ (1, 2.86) (1, 35.1) ${{\rm{\Xi }}}_{c}{{\rm{\Xi }}}_{c}^{{\prime} }$ 5048 (0, 1)+ (2, 40.1) (2, 8.55) ${{\rm{\Xi }}}_{c}{{\rm{\Xi }}}_{c}^{* }$ 5115 (1, 2)+ (2, 38.3) (2, 7.73) ${{\rm{\Xi }}}_{c}^{{\prime} }{{\rm{\Xi }}}_{c}^{{\prime} }$ 5158 1+ (2, 36.9) (2, 7.14) ${{\rm{\Xi }}}_{c}^{* }{{\rm{\Xi }}}_{c}^{{\prime} }$ 5225 (1, 2)+ (2, 35.2) (2, 6.4) ${{\rm{\Xi }}}_{c}^{* }{{\rm{\Xi }}}_{c}^{* }$ 5292 (1, 3)+ (2, 33.4) (2, 5.7) D1ξc 4891 ${\left(\tfrac{1}{2},\tfrac{3}{2}\right)}^{+}$ (1, 2.78) (1, 35.5) D2ξc 4932 ${\left(\tfrac{3}{2},\tfrac{5}{2}\right)}^{+}$ (1, 2.83) (1, 35.5) ${D}_{1}{{\rm{\Xi }}}_{c}^{{\prime} }$ 5001 ${\left(\tfrac{1}{2},\tfrac{3}{2}\right)}^{+}$ (1, 2.89) (1, 35.4) ${D}_{2}{{\rm{\Xi }}}_{c}^{{\prime} }$ 5042 ${\left(\tfrac{3}{2},\tfrac{5}{2}\right)}^{+}$ (1, 2.94) (1, 35.4) ${D}_{1}{{\rm{\Xi }}}_{c}^{* }$ 5068 ${\left(\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2}\right)}^{+}$ (1, 2.96) (1, 35.3) ${D}_{2}{{\rm{\Xi }}}_{c}^{* }$ 5109 ${\left(\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2},\tfrac{7}{2}\right)}^{+}$ (1, 3.0) (1, 35.3) Ds1ωc 5230 ${\left(\tfrac{1}{2},\tfrac{3}{2}\right)}^{+}$ (1, 0.0298) (1, 17.4) Ds2ωc 5264 ${\left(\tfrac{3}{2},\tfrac{5}{2}\right)}^{+}$ (1,0.039) (1, 17.5) ${D}_{s1}{{\rm{\Omega }}}_{c}^{* }$ 5301 ${\left(\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2}\right)}^{+}$ (1, 0.0474) (1, 17.6) ${D}_{s2}{{\rm{\Omega }}}_{c}^{* }$ 5335 ${\left(\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2},\tfrac{7}{2}\right)}^{+}$ (1, 0.0588) (1, 17.7)